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31434232401 = 32111335369191
BaseRepresentation
bin11101010001101000…
…000101001001010001
310000010201001110100200
4131101220011021101
51003334130414101
622235104405413
72161653365265
oct352150051121
9100121043320
1031434232401
1112370894070
126113316869
132c6c56b120
141742b0c0a5
15c3e9d1986
hex751a05251

31434232401 has 48 divisors (see below), whose sum is σ = 53494826112. Its totient is φ = 17535513600.

The previous prime is 31434232399. The next prime is 31434232439. The reversal of 31434232401 is 10423243413.

31434232401 is a `hidden beast` number, since 314 + 342 + 3 + 2 + 4 + 0 + 1 = 666.

It is not a de Polignac number, because 31434232401 - 21 = 31434232399 is a prime.

It is a super-2 number, since 2×314342324012 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31434232451) 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, 419716 + ... + 488906.

It is an arithmetic number, because the mean of its divisors is an integer number (1114475544).

Almost surely, 231434232401 is an apocalyptic number.

It is an amenable number.

31434232401 is a deficient number, since it is larger than the sum of its proper divisors (22060593711).

31434232401 is a wasteful number, since it uses less digits than its factorization.

31434232401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69574 (or 69571 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 31434232401 its reverse (10423243413), we get a palindrome (41857475814).

The spelling of 31434232401 in words is "thirty-one billion, four hundred thirty-four million, two hundred thirty-two thousand, four hundred one".

Divisors: 1 3 9 11 13 33 39 99 117 143 353 429 1059 1287 3177 3883 4589 11649 13767 34947 41301 50479 69191 151437 207573 454311 622719 761101 899483 2283303 2698449 6849909 8095347 9894313 24424423 29682939 73273269 89048817 219819807 268668653 317517499 806005959 952552497 2418017877 2857657491 3492692489 10478077467 31434232401