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31306441341 = 3717197975791
BaseRepresentation
bin11101001010000000…
…100110001001111101
32222210210120222222110
4131022000212021331
51003103422110331
622214301404233
72155542234510
oct351200461175
988723528873
1031306441341
111230574081a
126098569679
132c4bc46c06
14172db64d77
15c3368c946
hex74a02627d

31306441341 has 64 divisors (see below), whose sum is σ = 53245624320. Its totient is φ = 15928151040.

The previous prime is 31306441333. The next prime is 31306441349. The reversal of 31306441341 is 14314460313.

It is an interprime number because it is at equal distance from previous prime (31306441333) and next prime (31306441349).

It is not a de Polignac number, because 31306441341 - 23 = 31306441333 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31306441299 and 31306441308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31306441349) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5403156 + ... + 5408946.

It is an arithmetic number, because the mean of its divisors is an integer number (831962880).

Almost surely, 231306441341 is an apocalyptic number.

It is an amenable number.

31306441341 is a deficient number, since it is larger than the sum of its proper divisors (21939182979).

31306441341 is a wasteful number, since it uses less digits than its factorization.

31306441341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6634.

The product of its (nonzero) digits is 10368, while the sum is 30.

The spelling of 31306441341 in words is "thirty-one billion, three hundred six million, four hundred forty-one thousand, three hundred forty-one".

Divisors: 1 3 7 17 19 21 51 57 119 133 323 357 399 797 969 2261 2391 5579 5791 6783 13549 15143 16737 17373 40537 40647 45429 94843 98447 106001 110029 121611 257431 284529 295341 318003 330087 689129 770203 772293 1802017 1870493 2067387 2310609 4615427 5406051 5611479 13093451 13846281 32307989 39280353 78462259 87693113 96923967 235386777 263079339 549235813 613851791 1490782921 1647707439 1841555373 4472348763 10435480447 31306441341