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31120212312 = 2334747914323
BaseRepresentation
bin11100111110111010…
…001100000101011000
32222022211011120210000
4130332322030011120
51002213233243222
622144010053000
72151121303650
oct347672140530
988284146700
1031120212312
111221a604132
12604611a160
132c1c4a1a17
141713129360
15c221539ac
hex73ee8c158

31120212312 has 160 divisors (see below), whose sum is σ = 99832550400. Its totient is φ = 8872307136.

The previous prime is 31120212289. The next prime is 31120212379. The reversal of 31120212312 is 21321202113.

31120212312 is a `hidden beast` number, since 311 + 20 + 21 + 2 + 312 = 666.

It is a super-2 number, since 2×311202123122 (a number of 22 digits) contains 22 as substring.

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 polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2165583 + ... + 2179905.

It is an arithmetic number, because the mean of its divisors is an integer number (623953440).

Almost surely, 231120212312 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 31120212312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49916275200).

31120212312 is an abundant number, since it is smaller than the sum of its proper divisors (68712338088).

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

31120212312 is a wasteful number, since it uses less digits than its factorization.

31120212312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14827 (or 14814 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 31120212312 its reverse (21321202113), we get a palindrome (52441414425).

The spelling of 31120212312 in words is "thirty-one billion, one hundred twenty million, two hundred twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 252 324 378 479 504 567 648 756 958 1134 1437 1512 1916 2268 2874 3353 3832 4311 4536 5748 6706 8622 10059 11496 12933 13412 14323 17244 20118 25866 26824 28646 30177 34488 38799 40236 42969 51732 57292 60354 77598 80472 85938 90531 100261 103464 114584 120708 128907 155196 171876 181062 200522 241416 257814 271593 300783 310392 343752 362124 386721 401044 515628 543186 601566 724248 773442 802088 902349 1031256 1086372 1160163 1203132 1546884 1804698 2172744 2320326 2406264 2707047 3093768 3609396 4640652 5414094 6860717 7218792 8121141 9281304 10828188 13721434 16242282 20582151 21656376 27442868 32484564 41164302 48025019 54885736 61746453 64969128 82328604 96050038 123492906 144075057 164657208 185239359 192100076 246985812 288150114 370478718 384200152 432225171 493971624 555718077 576300228 740957436 864450342 1111436154 1152600456 1296675513 1481914872 1728900684 2222872308 2593351026 3457801368 3890026539 4445744616 5186702052 7780053078 10373404104 15560106156 31120212312