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31312323121000 = 2353293311343627
BaseRepresentation
bin1110001111010011101111…
…11001011000111101101000
311002212102120122011121202011
413013221313321120331220
513101010114204333000
6150332403242045304
76411145362022225
oct707516771307550
9132772518147664
1031312323121000
119a82533100469
1236186557a9834
13146197c602b5c
147a374b42494c
1539478a9e92ba
hex1c7a77e58f68

31312323121000 has 128 divisors (see below), whose sum is σ = 73757523490560. Its totient is φ = 12442010208000.

The previous prime is 31312323120989. The next prime is 31312323121019. The reversal of 31312323121000 is 12132321313.

It is a super-2 number, since 2×313123231210002 (a number of 28 digits) contains 22 as substring.

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, 90951187 + ... + 91294813.

It is an arithmetic number, because the mean of its divisors is an integer number (576230652270).

Almost surely, 231312323121000 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 31312323121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36878761745280).

31312323121000 is an abundant number, since it is smaller than the sum of its proper divisors (42445200369560).

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

31312323121000 is a wasteful number, since it uses less digits than its factorization.

31312323121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344252 (or 344238 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 31312323121000 its reverse (12132321313), we get a palindrome (31324455442313).

The spelling of 31312323121000 in words is "thirty-one trillion, three hundred twelve billion, three hundred twenty-three million, one hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 293 311 500 586 622 1000 1172 1244 1465 1555 2344 2488 2930 3110 5860 6220 7325 7775 11720 12440 14650 15550 29300 31100 36625 38875 58600 62200 73250 77750 91123 146500 155500 182246 293000 311000 343627 364492 455615 687254 728984 911230 1374508 1718135 1822460 2278075 2749016 3436270 3644920 4556150 6872540 8590675 9112300 11390375 13745080 17181350 18224600 22780750 34362700 42953375 45561500 68725400 85906750 91123000 100682711 106867997 171813500 201365422 213735994 343627000 402730844 427471988 503413555 534339985 805461688 854943976 1006827110 1068679970 2013654220 2137359940 2517067775 2671699925 4027308440 4274719880 5034135550 5343399850 10068271100 10686799700 12585338875 13358499625 20136542200 21373599400 25170677750 26716999250 31312323121 50341355500 53433998500 62624646242 100682711000 106867997000 125249292484 156561615605 250498584968 313123231210 626246462420 782808078025 1252492924840 1565616156050 3131232312100 3914040390125 6262464624200 7828080780250 15656161560500 31312323121000