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31331310012 = 223217971393797
BaseRepresentation
bin11101001011011111…
…011101100110111100
32222212112101110101100
4131023133131212330
51003131303410022
622220550413100
72156263512102
oct351337354674
988775343340
1031331310012
1112318786a42
1260a4961190
132c541433c2
141733199c72
15c359511ac
hex74b7dd9bc

31331310012 has 144 divisors (see below), whose sum is σ = 85353821280. Its totient is φ = 9655566336.

The previous prime is 31331310001. The next prime is 31331310041. The reversal of 31331310012 is 21001313313.

It is a happy number.

31331310012 is a `hidden beast` number, since 313 + 31 + 310 + 0 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8249698 + ... + 8253494.

It is an arithmetic number, because the mean of its divisors is an integer number (592734870).

Almost surely, 231331310012 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 31331310012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42676910640).

31331310012 is an abundant number, since it is smaller than the sum of its proper divisors (54022511268).

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

31331310012 is a wasteful number, since it uses less digits than its factorization.

31331310012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4060 (or 4055 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 31331310012 its reverse (21001313313), we get a palindrome (52332623325).

The spelling of 31331310012 in words is "thirty-one billion, three hundred thirty-one million, three hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 97 102 139 153 194 204 278 291 306 388 417 556 582 612 834 873 1164 1251 1649 1668 1746 2363 2502 3298 3492 3797 4726 4947 5004 6596 7089 7594 9452 9894 11391 13483 14178 14841 15188 19788 21267 22782 26966 28356 29682 34173 40449 42534 45564 53932 59364 64549 68346 80898 85068 121347 129098 136692 161796 193647 229211 242694 258196 368309 387294 458422 485388 527783 580941 687633 736618 774588 916844 1055566 1104927 1161882 1375266 1473236 1583349 2062899 2111132 2209854 2323764 2750532 3166698 3314781 4125798 4419708 4750047 6261253 6333396 6629562 8251596 8972311 9500094 12522506 13259124 17944622 18783759 19000188 25045012 26916933 35889244 37567518 51194951 53833866 56351277 75135036 80750799 102389902 107667732 112702554 153584853 161501598 204779804 225405108 307169706 323003196 460754559 614339412 870314167 921509118 1740628334 1843018236 2610942501 3481256668 5221885002 7832827503 10443770004 15665655006 31331310012