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113133312111330 = 2345737539269327
BaseRepresentation
bin11001101110010011100110…
…111000010111001011100010
3112211120102212001001222210000
4121232103212320113023202
5104312034010400030310
61040340420500320430
732554416640155360
oct3156234670271342
9484512761058700
10113133312111330
1133058628342295
1210831bb13a3116
134b1856bc38a74
141dd1978152630
15d12ccc9614c0
hex66e4e6e172e2

113133312111330 has 160 divisors (see below), whose sum is σ = 357056693300736. Its totient is φ = 25160149673856.

The previous prime is 113133312111307. The next prime is 113133312111353. The reversal of 113133312111330 is 33111213331311.

113133312111330 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 3 + 3 + 312 + 1 + 11 + 330 = 666.

113133312111330 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (113133312111307) and next prime (113133312111353).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 113133312111294 and 113133312111303.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 269424874 + ... + 269844453.

Almost surely, 2113133312111330 is an apocalyptic number.

113133312111330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

113133312111330 is an abundant number, since it is smaller than the sum of its proper divisors (243923381189406).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

113133312111330 is a wasteful number, since it uses less digits than its factorization.

113133312111330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539269390 (or 539269381 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

Adding to 113133312111330 its reverse (33111213331311), we get a palindrome (146244525442641).

The spelling of 113133312111330 in words is "one hundred thirteen trillion, one hundred thirty-three billion, three hundred twelve million, one hundred eleven thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 37 42 45 54 63 70 74 81 90 105 111 126 135 162 185 189 210 222 259 270 315 333 370 378 405 518 555 567 630 666 777 810 945 999 1110 1134 1295 1554 1665 1890 1998 2331 2590 2835 2997 3330 3885 4662 4995 5670 5994 6993 7770 9990 11655 13986 14985 20979 23310 29970 34965 41958 69930 104895 209790 539269327 1078538654 1617807981 2696346635 3235615962 3774885289 4853423943 5392693270 7549770578 8089039905 9706847886 11324655867 14560271829 16178079810 18874426445 19952965099 22649311734 24267119715 29120543658 33973967601 37748852890 39905930198 43680815487 48534239430 56623279335 59858895297 67947935202 72801359145 87361630974 99764825495 101921902803 113246558670 119717790594 139670755693 145602718290 169869838005 179576685891 199529650990 203843805606 218404077435 279341511386 299294476485 305765708409 339739676010 359153371782 419012267079 436808154870 509609514015 538730057673 598588952970 611531416818 698353778465 838024534158 897883429455 1019219028030 1077460115346 1257036801237 1396707556930 1528828542045 1616190173019 1795766858910 2095061335395 2514073602474 2693650288365 3057657084090 3232380346038 3771110403711 4190122670790 5387300576730 6285184006185 7542220807422 8080950865095 11313331211133 12570368012370 16161901730190 18855552018555 22626662422266 37711104037110 56566656055665 113133312111330