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31355034024 = 23337293120511
BaseRepresentation
bin11101001100111001…
…111101100110101000
32222221012000202121110
4131030321331212220
51003203342042044
622223155110320
72160002251236
oct351471754650
988835022543
1031355034024
1112330110166
1260b08a23a0
132c5902b892
1417363b3956
15c37a8a6b9
hex74ce7d9a8

31355034024 has 64 divisors (see below), whose sum is σ = 80781603840. Its totient is φ = 10134408960.

The previous prime is 31355034019. The next prime is 31355034043. The reversal of 31355034024 is 42043055313.

It is a junction number, because it is equal to n+sod(n) for n = 31355033982 and 31355034000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199929 + ... + 320439.

It is an arithmetic number, because the mean of its divisors is an integer number (1262212560).

Almost surely, 231355034024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31355034024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40390801920).

31355034024 is an abundant number, since it is smaller than the sum of its proper divisors (49426569816).

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

31355034024 is a wasteful number, since it uses less digits than its factorization.

31355034024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120850 (or 120846 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 31355034024 its reverse (42043055313), we get a palindrome (73398089337).

The spelling of 31355034024 in words is "thirty-one billion, three hundred fifty-five million, thirty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 293 296 444 586 879 888 1172 1758 2344 3516 7032 10841 21682 32523 43364 65046 86728 120511 130092 241022 260184 361533 482044 723066 964088 1446132 2892264 4458907 8917814 13376721 17835628 26753442 35309723 35671256 53506884 70619446 105929169 107013768 141238892 211858338 282477784 423716676 847433352 1306459751 2612919502 3919379253 5225839004 7838758506 10451678008 15677517012 31355034024