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113201130001320 = 233252184531439429
BaseRepresentation
bin11001101111010010110001…
…001001000101001110101000
3112211210220220101101202110100
4121233102301021011032220
5104314141403240020240
61040431514201145400
732562340346546304
oct3157226111051650
9484726811352410
10113201130001320
1133084369813859
121084317948b260
134b21a8927695a
141dd4d6d026d04
15d1494b6dae30
hex66f4b12453a8

113201130001320 has 96 divisors (see below), whose sum is σ = 367905612227400. Its totient is φ = 30186808843776.

The previous prime is 113201130001303. The next prime is 113201130001331. The reversal of 113201130001320 is 23100031102311.

113201130001320 is a `hidden beast` number, since 1 + 1 + 32 + 0 + 11 + 300 + 0 + 1 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 112842647598564 + 358482402756 = 10622742^2 + 598734^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 113201130001293 and 113201130001302.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77923366 + ... + 79362794.

Almost surely, 2113201130001320 is an apocalyptic number.

113201130001320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113201130001320 is an abundant number, since it is smaller than the sum of its proper divisors (254704482226080).

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

113201130001320 is a wasteful number, since it uses less digits than its factorization.

113201130001320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1657899 (or 1657892 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 113201130001320 its reverse (23100031102311), we get a palindrome (136301161103631).

The spelling of 113201130001320 in words is "one hundred thirteen trillion, two hundred one billion, one hundred thirty million, one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 218453 436906 655359 873812 1092265 1310718 1439429 1747624 1966077 2184530 2621436 2878858 3276795 3932154 4318287 4369060 5242872 5757716 6553590 7197145 7864308 8636574 8738120 9830385 11515432 12954861 13107180 14394290 15728616 17273148 19660770 21591435 25909722 26214360 28788580 34546296 39321540 43182870 51819444 57577160 64774305 78643080 86365740 103638888 129548610 172731480 259097220 518194440 314447583337 628895166674 943342750011 1257790333348 1572237916685 1886685500022 2515580666696 2830028250033 3144475833370 3773371000044 4716713750055 5660056500066 6288951666740 7546742000088 9433427500110 11320113000132 12577903333480 14150141250165 18866855000220 22640226000264 28300282500330 37733710000440 56600565000660 113201130001320