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131434440102 = 23372315117833
BaseRepresentation
bin111101001101000011…
…0100110010110100110
3110120020220002100112000
41322122012212112212
54123134204040402
6140214040110130
712332032210320
oct1723206462646
9416226070460
10131434440102
1150817351219
1221581165346
13c518121264
14650bbc4610
153643c5cc1c
hex1e9a1a65a6

131434440102 has 64 divisors (see below), whose sum is σ = 348314895360. Its totient is φ = 35919968832.

The previous prime is 131434440083. The next prime is 131434440113. The reversal of 131434440102 is 201044434131.

131434440102 is a `hidden beast` number, since 1 + 314 + 344 + 4 + 0 + 1 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7550223 + ... + 7567610.

It is an arithmetic number, because the mean of its divisors is an integer number (5442420240).

Almost surely, 2131434440102 is an apocalyptic number.

131434440102 is an abundant number, since it is smaller than the sum of its proper divisors (216880455258).

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

131434440102 is a wasteful number, since it uses less digits than its factorization.

131434440102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15117874 (or 15117868 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 131434440102 its reverse (201044434131), we get a palindrome (332478874233).

It can be divided in two parts, 131434 and 440102, that added together give a square (571536 = 7562).

The spelling of 131434440102 in words is "one hundred thirty-one billion, four hundred thirty-four million, four hundred forty thousand, one hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 42 46 54 63 69 126 138 161 189 207 322 378 414 483 621 966 1242 1449 2898 4347 8694 15117833 30235666 45353499 90706998 105824831 136060497 211649662 272120994 317474493 347710159 408181491 634948986 695420318 816362982 952423479 1043130477 1904846958 2086260954 2433971113 2857270437 3129391431 4867942226 5714540874 6258782862 7301913339 9388174293 14603826678 18776348586 21905740017 43811480034 65717220051 131434440102