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201135200156460 = 223251699826979537
BaseRepresentation
bin101101101110111001110000…
…001010000011101100101100
3222101011100002221000001021200
4231232321300022003230230
5202330344342220001320
61551440122500325500
760236352522404103
oct5556716012035454
9871140087001250
10201135200156460
11590a6a609a4939
121a6854236a3890
13882cc7789b3ab
143794dd201b03a
15183bec4e5b290
hexb6ee70283b2c

201135200156460 has 144 divisors (see below), whose sum is σ = 610550709132000. Its totient is φ = 53597327726592.

The previous prime is 201135200156389. The next prime is 201135200156477. The reversal of 201135200156460 is 64651002531102.

201135200156460 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 3 + 5 + 2 + 0 + 0 + 1 + 5 + 646 + 0 = 666.

201135200156460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2528785812 + ... + 2528865348.

Almost surely, 2201135200156460 is an apocalyptic number.

201135200156460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201135200156460 is an abundant number, since it is smaller than the sum of its proper divisors (409415508975540).

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

201135200156460 is a wasteful number, since it uses less digits than its factorization.

201135200156460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89520 (or 89515 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 201135200156460 its reverse (64651002531102), we get a palindrome (265786202687562).

The spelling of 201135200156460 in words is "two hundred one trillion, one hundred thirty-five billion, two hundred million, one hundred fifty-six thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1699 3398 5097 6796 8269 8495 10194 15291 16538 16990 20388 24807 25485 30582 33076 33980 41345 49614 50970 61164 74421 76455 79537 82690 99228 101940 124035 148842 152910 159074 165380 238611 248070 297684 305820 318148 372105 397685 477222 496140 715833 744210 795370 954444 1193055 1431666 1488420 1590740 2386110 2863332 3579165 4772220 7158330 14049031 14316660 28098062 42147093 56196124 70245155 84294186 126441279 135133363 140490310 168588372 210735465 252882558 270266726 280980620 405400089 421470930 505765116 540533452 632206395 657691453 675666815 810800178 842941860 1216200267 1264412790 1315382906 1351333630 1621600356 1973074359 2027000445 2432400534 2528825580 2630765812 2702667260 3288457265 3946148718 4054000890 4864801068 5919223077 6081001335 6576914530 7892297436 8108001780 9865371795 11838446154 12162002670 13153829060 19730743590 23676892308 24324005340 29596115385 39461487180 59192230770 118384461540 1117417778647 2234835557294 3352253335941 4469671114588 5587088893235 6704506671882 10056760007823 11174177786470 13409013343764 16761266679705 20113520015646 22348355572940 33522533359410 40227040031292 50283800039115 67045066718820 100567600078230 201135200156460