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12313112021000 = 235372593678371
BaseRepresentation
bin1011001100101101111010…
…1010110000100000001000
31121121010021221120210220222
42303023132222300200020
53103214223134133000
642104322055205212
72410410252202340
oct263133652604010
947533257523828
1012313112021000
113a17a6380859a
12146a444376808
136b4176b823ab
14307d5a2c9d20
1516545b7aca85
hexb32deab0808

12313112021000 has 128 divisors (see below), whose sum is σ = 32941527240960. Its totient is φ = 4220004096000.

The previous prime is 12313112020997. The next prime is 12313112021029. The reversal of 12313112021000 is 12021131321.

It is a super-2 number, since 2×123131120210002 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12313112021000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17811815 + ... + 18490185.

It is an arithmetic number, because the mean of its divisors is an integer number (257355681570).

Almost surely, 212313112021000 is an apocalyptic number.

12313112021000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12313112021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16470763620480).

12313112021000 is an abundant number, since it is smaller than the sum of its proper divisors (20628415219960).

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

12313112021000 is a wasteful number, since it uses less digits than its factorization.

12313112021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680992 (or 680978 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 12313112021000 its reverse (12021131321), we get a palindrome (12325133152321).

The spelling of 12313112021000 in words is "twelve trillion, three hundred thirteen billion, one hundred twelve million, twenty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 2593 3500 5186 7000 10372 12965 18151 20744 25930 36302 51860 64825 72604 90755 103720 129650 145208 181510 259300 324125 363020 453775 518600 648250 678371 726040 907550 1296500 1356742 1815100 2268875 2593000 2713484 3391855 3630200 4537750 4748597 5426968 6783710 9075500 9497194 13567420 16959275 18151000 18994388 23742985 27134840 33918550 37988776 47485970 67837100 84796375 94971940 118714925 135674200 169592750 189943880 237429850 339185500 474859700 593574625 678371000 949719400 1187149250 1759016003 2374298500 3518032006 4748597000 7036064012 8795080015 12313112021 14072128024 17590160030 24626224042 35180320060 43975400075 49252448084 61565560105 70360640120 87950800150 98504896168 123131120210 175901600300 219877000375 246262240420 307827800525 351803200600 439754000750 492524480840 615655601050 879508001500 1231311202100 1539139002625 1759016003000 2462622404200 3078278005250 6156556010500 12313112021000