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102113013221032 = 23113779396980893
BaseRepresentation
bin10111001101111100001001…
…111000010100011010101000
3111101112220112110110211210211
4113031330021320110122220
5101341004422341033112
61001102023133150504
730336264442156612
oct2715741170243250
9441486473424724
10102113013221032
112a599981978690
12b55222962b434
1344c92a623a428
141b30420b2ddb2
15bc12d919b0a7
hex5cdf09e146a8

102113013221032 has 64 divisors (see below), whose sum is σ = 217227945196800. Its totient is φ = 44588893789440.

The previous prime is 102113013221003. The next prime is 102113013221047. The reversal of 102113013221032 is 230122310311201.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 102113013220994 and 102113013221012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198233223 + ... + 198747670.

It is an arithmetic number, because the mean of its divisors is an integer number (3394186643700).

Almost surely, 2102113013221032 is an apocalyptic number.

It is an amenable number.

102113013221032 is an abundant number, since it is smaller than the sum of its proper divisors (115114931975768).

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

102113013221032 is a wasteful number, since it uses less digits than its factorization.

102113013221032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396981026 (or 396981022 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 102113013221032 its reverse (230122310311201), we get a palindrome (332235323532233).

The spelling of 102113013221032 in words is "one hundred two trillion, one hundred thirteen billion, thirteen million, two hundred twenty-one thousand, thirty-two".

Divisors: 1 2 4 8 11 22 37 44 74 79 88 148 158 296 316 407 632 814 869 1628 1738 2923 3256 3476 5846 6952 11692 23384 32153 64306 128612 257224 396980893 793961786 1587923572 3175847144 4366789823 8733579646 14688293041 17467159292 29376586082 31361490547 34934318584 58753172164 62722981094 117506344328 125445962188 161571223451 250891924376 323142446902 344976396017 646284893804 689952792034 1160375150239 1292569787608 1379905584068 2320750300478 2759811168136 4641500600956 9283001201912 12764126652629 25528253305258 51056506610516 102113013221032