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102142103133144 = 23317591834230071
BaseRepresentation
bin10111001110010111001111…
…110001100001101111011000
3111101122200121210021111022010
4113032113033301201233120
5101341444011400230034
61001123233455025520
730341344351303164
oct2716271761415730
9441580553244263
10102142103133144
112a60024a41a168
12b5579a780b2a0
1344cbc60bb6289
141b319c0353ca4
15bc1e3ce543e9
hex5ce5cfc61bd8

102142103133144 has 64 divisors (see below), whose sum is σ = 270380787747840. Its totient is φ = 32044032350720.

The previous prime is 102142103133107. The next prime is 102142103133151. The reversal of 102142103133144 is 441331301241201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22031629 + ... + 26261699.

It is an arithmetic number, because the mean of its divisors is an integer number (4224699808560).

Almost surely, 2102142103133144 is an apocalyptic number.

It is an amenable number.

102142103133144 is an abundant number, since it is smaller than the sum of its proper divisors (168238684614696).

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

102142103133144 is a wasteful number, since it uses less digits than its factorization.

102142103133144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4289280 (or 4289276 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 102142103133144 its reverse (441331301241201), we get a palindrome (543473404374345).

The spelling of 102142103133144 in words is "one hundred two trillion, one hundred forty-two billion, one hundred three million, one hundred thirty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 59183 118366 177549 236732 355098 473464 710196 1006111 1420392 2012222 3018333 4024444 4230071 6036666 8048888 8460142 12073332 12690213 16920284 24146664 25380426 33840568 50760852 71911207 101521704 143822414 215733621 287644828 431467242 575289656 862934484 1725868968 250348291993 500696583986 751044875979 1001393167972 1502089751958 2002786335944 3004179503916 4255920963881 6008359007832 8511841927762 12767762891643 17023683855524 25535525783286 34047367711048 51071051566572 102142103133144