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12313202313000 = 233536761259713
BaseRepresentation
bin1011001100101110010000…
…0011001100011100101000
31121121010112020111010021010
42303023210003030130220
53103214414243004000
642104335042343520
72410412426522331
oct263134403143450
947533466433233
1012313202313000
113a17aaa779286
12146a46a65aba0
136b418c7a7204
14307d682b1288
15165464695d50
hexb32e40cc728

12313202313000 has 128 divisors (see below), whose sum is σ = 38990582766720. Its totient is φ = 3234512793600.

The previous prime is 12313202312911. The next prime is 12313202313001. The reversal of 12313202313000 is 31320231321.

It is a super-2 number, since 2×123132023130002 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12313202313001) by changing a digit.

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, 30428857 + ... + 30830856.

It is an arithmetic number, because the mean of its divisors is an integer number (304613927865).

Almost surely, 212313202313000 is an apocalyptic number.

12313202313000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12313202313000 is an abundant number, since it is smaller than the sum of its proper divisors (26677380453720).

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

12313202313000 is a wasteful number, since it uses less digits than its factorization.

12313202313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61259804 (or 61259790 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 12313202313000 its reverse (31320231321), we get a palindrome (12344522544321).

The spelling of 12313202313000 in words is "twelve trillion, three hundred thirteen billion, two hundred two million, three hundred thirteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 67 75 100 120 125 134 150 200 201 250 268 300 335 375 402 500 536 600 670 750 804 1000 1005 1340 1500 1608 1675 2010 2680 3000 3350 4020 5025 6700 8040 8375 10050 13400 16750 20100 25125 33500 40200 50250 67000 100500 201000 61259713 122519426 183779139 245038852 306298565 367558278 490077704 612597130 735116556 918895695 1225194260 1470233112 1531492825 1837791390 2450388520 3062985650 3675582780 4104400771 4594478475 6125971300 7351165560 7657464125 8208801542 9188956950 12251942600 12313202313 15314928250 16417603084 18377913900 20522003855 22972392375 24626404626 30629856500 32835206168 36755827800 41044007710 45944784750 49252809252 61259713000 61566011565 82088015420 91889569500 98505618504 102610019275 123132023130 164176030840 183779139000 205220038550 246264046260 307830057825 410440077100 492528092520 513050096375 615660115650 820880154200 1026100192750 1231320231300 1539150289125 2052200385500 2462640462600 3078300578250 4104400771000 6156601156500 12313202313000