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31120000013020 = 225171392932247389
BaseRepresentation
bin1110001001101101100001…
…00010111101001011011100
311002012001011022022110022211
413010312300202331023130
513034332230000404040
6150104155230250204
76361226416413502
oct704666042751334
9132161138273284
1031120000013020
119a08a1078a926
1235a7321056964
1314497ac8c8049
14798304b40672
1538e7814e98ea
hex1c4db08bd2dc

31120000013020 has 96 divisors (see below), whose sum is σ = 69931944734400. Its totient is φ = 11591775596544.

The previous prime is 31120000012999. The next prime is 31120000013023. The reversal of 31120000013020 is 2031000002113.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31120000013023) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 12723486 + ... + 14970874.

It is an arithmetic number, because the mean of its divisors is an integer number (728457757650).

Almost surely, 231120000013020 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 31120000013020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34965972367200).

31120000013020 is an abundant number, since it is smaller than the sum of its proper divisors (38811944721380).

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

31120000013020 is a wasteful number, since it uses less digits than its factorization.

31120000013020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2247847 (or 2247845 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 31120000013020 its reverse (2031000002113), we get a palindrome (33151000015133).

The spelling of 31120000013020 in words is "thirty-one trillion, one hundred twenty billion, thirteen thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 139 170 278 293 340 556 586 695 1172 1390 1465 2363 2780 2930 4726 4981 5860 9452 9962 11815 19924 23630 24905 40727 47260 49810 81454 99620 162908 203635 407270 692359 814540 1384718 2247389 2769436 3461795 4494778 6923590 8989556 11236945 13847180 22473890 38205613 44947780 76411226 152822452 191028065 312387071 382056130 624774142 658484977 764112260 1249548284 1316969954 1561935355 2633939908 3123870710 3292424885 5310580207 6247741420 6584849770 10621160414 11194244609 13169699540 21242320828 22388489218 26552901035 44776978436 53105802070 55971223045 91529411803 106211604140 111942446090 183058823606 223884892180 366117647212 457647059015 915294118030 1556000000651 1830588236060 3112000001302 6224000002604 7780000003255 15560000006510 31120000013020