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102231334442341 = 13172311493958757
BaseRepresentation
bin10111001111101010010110…
…010111111101010101100101
3111101222012221110201122212201
4113033222112113331111211
5101344424233104123331
61001232232055414501
730350653525023526
oct2717522627752545
9441865843648781
10102231334442341
112a63507a1444a5
12b57114b084431
1345074b1698510
141b3604711684d
15bc4411a90a61
hex5cfa965fd565

102231334442341 has 48 divisors (see below), whose sum is σ = 120735223902720. Its totient is φ = 85944102773760.

The previous prime is 102231334442333. The next prime is 102231334442351. The reversal of 102231334442341 is 143244433132201.

It is not a de Polignac number, because 102231334442341 - 23 = 102231334442333 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102231334442341.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102231334442351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1739871135 + ... + 1739929891.

It is an arithmetic number, because the mean of its divisors is an integer number (2515317164640).

Almost surely, 2102231334442341 is an apocalyptic number.

It is an amenable number.

102231334442341 is a deficient number, since it is larger than the sum of its proper divisors (18503889460379).

102231334442341 is a wasteful number, since it uses less digits than its factorization.

102231334442341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73774 (or 73757 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 37.

Adding to 102231334442341 its reverse (143244433132201), we get a palindrome (245475767574542).

The spelling of 102231334442341 in words is "one hundred two trillion, two hundred thirty-one billion, three hundred thirty-four million, four hundred forty-two thousand, three hundred forty-one".

Divisors: 1 13 17 31 221 289 403 527 3757 6851 8959 14939 58757 116467 194207 253963 463109 763841 998869 1821467 3301519 4317371 6020417 7872853 12985297 16980773 23679071 30964939 56125823 102347089 133838501 220750049 402544207 526403963 877770823 1739900513 6843251519 11411020699 14922103991 27210895513 193987351883 253675767847 353741641669 462585223721 3297784982011 6013607908373 7863948803257 102231334442341