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31425134031 = 3331475711399
BaseRepresentation
bin11101010001000101…
…010111110111001111
310000010001221012202000
4131101011113313033
51003324313242111
622234141403343
72161513142364
oct352105276717
9100101835660
1031425134031
111236673a355
126110269553
132c6a703a85
14174182046b
15c3dcd5c56
hex751157dcf

31425134031 has 64 divisors (see below), whose sum is σ = 49201152000. Its totient is φ = 19794002400.

The previous prime is 31425134029. The next prime is 31425134047. The reversal of 31425134031 is 13043152413.

It is a happy number.

31425134031 is a `hidden beast` number, since 3 + 1 + 4 + 251 + 3 + 403 + 1 = 666.

It is not a de Polignac number, because 31425134031 - 21 = 31425134029 is a prime.

It is a super-2 number, since 2×314251340312 (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 31425133986 and 31425134004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31425134431) 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, 22461870 + ... + 22463268.

It is an arithmetic number, because the mean of its divisors is an integer number (768768000).

Almost surely, 231425134031 is an apocalyptic number.

31425134031 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

31425134031 is a deficient number, since it is larger than the sum of its proper divisors (17776017969).

31425134031 is a wasteful number, since it uses less digits than its factorization.

31425134031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2057 (or 2051 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 31425134031 its reverse (13043152413), we get a palindrome (44468286444).

The spelling of 31425134031 in words is "thirty-one billion, four hundred twenty-five million, one hundred thirty-four thousand, thirty-one".

Divisors: 1 3 9 27 31 47 93 141 279 423 571 837 1269 1399 1457 1713 4197 4371 5139 12591 13113 15417 17701 26837 37773 39339 43369 53103 65753 80511 130107 159309 197259 241533 390321 477927 591777 724599 798829 831947 1170963 1775331 2038343 2396487 2495841 6115029 7189461 7487523 18345087 21568383 22462569 24763699 37544963 55035261 74291097 112634889 222873291 337904667 668619873 1013714001 1163893853 3491681559 10475044677 31425134031