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201234141432102 = 2337101149148740507
BaseRepresentation
bin101101110000010101111001…
…100001000100100100100110
3222101111210111022110121202010
4231300111321201010210212
5202334010010201311402
61551553404403255050
760246454422356502
oct5560257141044446
9871453438417663
10201234141432102
1159134a13747729
121a6a063697a486
1388393b4c4c4cc
143799ada605302
15183e866264a6c
hexb70579844926

201234141432102 has 128 divisors (see below), whose sum is σ = 420532927027200. Its totient is φ = 64140505689600.

The previous prime is 201234141432059. The next prime is 201234141432131.

It is a happy number.

201234141432102 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2012341414321022 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 201234141432102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4967865333 + ... + 4967905839.

It is an arithmetic number, because the mean of its divisors is an integer number (3285413492400).

Almost surely, 2201234141432102 is an apocalyptic number.

201234141432102 is an abundant number, since it is smaller than the sum of its proper divisors (219298785595098).

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

201234141432102 is a wasteful number, since it uses less digits than its factorization.

201234141432102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42286.

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 201234141432102 in words is "two hundred one trillion, two hundred thirty-four billion, one hundred forty-one million, four hundred thirty-two thousand, one hundred two".

Divisors: 1 2 3 6 37 74 101 111 149 202 222 298 303 447 606 894 1487 2974 3737 4461 5513 7474 8922 11026 11211 15049 16539 22422 30098 33078 40507 45147 55019 81014 90294 110038 121521 150187 165057 221563 243042 300374 330114 443126 450561 556813 664689 901122 1113626 1329378 1498759 1670439 2997518 3340878 4091207 4496277 5556919 6035543 8182414 8197831 8992554 11113838 12071086 12273621 16395662 16670757 18106629 22377863 24547242 24593493 33341514 36213258 44755726 49186986 60233909 67133589 120467818 134267178 151374659 180701727 223315091 302749318 361403454 446630182 454123977 609589843 669945273 827980931 908247954 1219179686 1339890546 1655961862 1828769529 2228654633 2483942793 3657539058 4457309266 4967885586 6083624809 6685963899 8974852441 12167249618 13371927798 17949704882 18250874427 22554824191 26924557323 36501748854 45109648382 53849114646 67664472573 135328945146 225094117933 332069540317 450188235866 664139080634 675282353799 906460096541 996208620951 1350564707598 1812920193082 1992417241902 2719380289623 5438760579246 33539023572017 67078047144034 100617070716051 201234141432102