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31421322120024 = 2333607739324293
BaseRepresentation
bin1110010010011110110001…
…01111100100101101011000
311010020211220222000110221000
413021033120233210231120
513104301331430320044
6150454431152545000
76422054440152414
oct711173057445530
9133224828013830
1031421322120024
11a014787203741
1236357b5252160
13146c030602095
147a8b2b6b9d44
15397519cb3d69
hex1c93d8be4b58

31421322120024 has 128 divisors (see below), whose sum is σ = 87543813888000. Its totient is φ = 10442337305472.

The previous prime is 31421322120007. The next prime is 31421322120053. The reversal of 31421322120024 is 42002122312413.

31421322120024 is a `hidden beast` number, since 3 + 1 + 4 + 213 + 221 + 200 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 31421322120024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96729622 + ... + 97053914.

It is an arithmetic number, because the mean of its divisors is an integer number (683936046000).

Almost surely, 231421322120024 is an apocalyptic number.

It is an amenable number.

31421322120024 is an abundant number, since it is smaller than the sum of its proper divisors (56122491767976).

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

31421322120024 is a wasteful number, since it uses less digits than its factorization.

31421322120024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325654 (or 325644 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 31421322120024 its reverse (42002122312413), we get a palindrome (73423444432437).

The spelling of 31421322120024 in words is "thirty-one trillion, four hundred twenty-one billion, three hundred twenty-two million, one hundred twenty thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 607 739 1214 1478 1821 2217 2428 2956 3642 4434 4856 5463 5912 6651 7284 8868 10926 13302 14568 16389 17736 19953 21852 26604 32778 39906 43704 53208 65556 79812 131112 159624 324293 448573 648586 897146 972879 1297172 1345719 1794292 1945758 2594344 2691438 2918637 3588584 3891516 4037157 5382876 5837274 7783032 8074314 8755911 10765752 11674548 12111471 16148628 17511822 23349096 24222942 32297256 35023644 48445884 70047288 96891768 196845851 239652527 393691702 479305054 590537553 718957581 787383404 958610108 1181075106 1437915162 1574766808 1771612659 1917220216 2156872743 2362150212 2875830324 3543225318 4313745486 4724300424 5314837977 5751660648 6470618229 7086450636 8627490972 10629675954 12941236458 14172901272 17254981944 21259351908 25882472916 42518703816 51764945832 145469083889 290938167778 436407251667 581876335556 872814503334 1163752671112 1309221755001 1745629006668 2618443510002 3491258013336 3927665265003 5236887020004 7855330530006 10473774040008 15710661060012 31421322120024