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31001213152 = 2571310646021
BaseRepresentation
bin11100110111110100…
…001111100011100000
32222000112020210121201
4130313310033203200
51001442302310102
622124115330544
72145144651430
oct346764174340
988015223551
1031001213152
1112169416318
1260122b0a54
132c00938510
1417013d02c0
15c16999987
hex737d0f8e0

31001213152 has 48 divisors (see below), whose sum is σ = 75118331232. Its totient is φ = 12264215040.

The previous prime is 31001213137. The next prime is 31001213183. The reversal of 31001213152 is 25131210013.

It is a super-2 number, since 2×310012131522 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5320099 + ... + 5325922.

It is an arithmetic number, because the mean of its divisors is an integer number (1564965234).

Almost surely, 231001213152 is an apocalyptic number.

31001213152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

31001213152 is an abundant number, since it is smaller than the sum of its proper divisors (44117118080).

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

31001213152 is a wasteful number, since it uses less digits than its factorization.

31001213152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10646051 (or 10646043 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

Adding to 31001213152 its reverse (25131210013), we get a palindrome (56132423165).

The spelling of 31001213152 in words is "thirty-one billion, one million, two hundred thirteen thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 728 1456 2912 10646021 21292042 42584084 74522147 85168168 138398273 149044294 170336336 276796546 298088588 340672672 553593092 596177176 968787911 1107186184 1192354352 1937575822 2214372368 2384708704 3875151644 4428744736 7750303288 15500606576 31001213152