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131402327126 = 27192313472417
BaseRepresentation
bin111101001100000110…
…0000110010001010110
3110120011122122211210112
41322120030012101112
54123102443432001
6140210531523022
712331162231430
oct1723014062126
9416148584715
10131402327126
1150800208274
1221572459472
13c5115895b5
146507825650
153641017cbb
hex1e98306456

131402327126 has 96 divisors (see below), whose sum is σ = 246219098112. Its totient is φ = 51460220160.

The previous prime is 131402327117. The next prime is 131402327129. The reversal of 131402327126 is 621723204131.

It is a junction number, because it is equal to n+sod(n) for n = 131402327092 and 131402327101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131402327129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54364670 + ... + 54367086.

It is an arithmetic number, because the mean of its divisors is an integer number (2564782272).

Almost surely, 2131402327126 is an apocalyptic number.

131402327126 is a deficient number, since it is larger than the sum of its proper divisors (114816770986).

131402327126 is a wasteful number, since it uses less digits than its factorization.

131402327126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2842 (or 2823 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The spelling of 131402327126 in words is "one hundred thirty-one billion, four hundred two million, three hundred twenty-seven thousand, one hundred twenty-six".

Divisors: 1 2 7 14 19 31 38 62 133 217 266 347 361 434 589 694 722 1178 2417 2429 2527 4123 4834 4858 5054 6593 8246 10757 11191 13186 16919 21514 22382 33838 45923 46151 74927 75299 78337 91846 92302 125267 149854 150598 156674 204383 250534 321461 408766 524489 642922 838699 872537 876869 1048978 1423613 1430681 1677398 1745074 1753738 2847226 2861362 3883277 5870893 6107759 7766554 9965291 11741786 12215518 15935281 19930582 25999669 27048647 27182939 31870562 51999338 54097294 54365878 111546967 181997683 189340529 223093934 302770339 363995366 378681058 493993711 605540678 987987422 2119392373 3457955977 4238784746 6915911954 9385880509 18771761018 65701163563 131402327126