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12313023000 = 2335329141529
BaseRepresentation
bin10110111011110100…
…11101001000011000
31011210010010101011220
423131322131020120
5200204113214000
65353450452040
7614061653145
oct133572351030
934703111156
1012313023000
115249420473
122477734020
131212c72135
1484b4213cc
154c0ea31a0
hex2dde9d218

12313023000 has 128 divisors (see below), whose sum is σ = 39741624000. Its totient is φ = 3170227200.

The previous prime is 12313022987. The next prime is 12313023001. The reversal of 12313023000 is 32031321.

It is a super-2 number, since 2×123130230002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12313023001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16236 + ... + 157764.

Almost surely, 212313023000 is an apocalyptic number.

12313023000 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 12313023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19870812000).

12313023000 is an abundant number, since it is smaller than the sum of its proper divisors (27428601000).

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

12313023000 is a wasteful number, since it uses less digits than its factorization.

12313023000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141582 (or 141568 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 12313023000 its reverse (32031321), we get a palindrome (12345054321).

The spelling of 12313023000 in words is "twelve billion, three hundred thirteen million, twenty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 29 30 40 50 58 60 75 87 100 116 120 125 145 150 174 200 232 250 290 300 348 375 435 500 580 600 696 725 750 870 1000 1160 1450 1500 1740 2175 2900 3000 3480 3625 4350 5800 7250 8700 10875 14500 17400 21750 29000 43500 87000 141529 283058 424587 566116 707645 849174 1132232 1415290 1698348 2122935 2830580 3396696 3538225 4104341 4245870 5661160 7076450 8208682 8491740 10614675 12313023 14152900 16417364 16983480 17691125 20521705 21229350 24626046 28305800 32834728 35382250 41043410 42458700 49252092 53073375 61565115 70764500 82086820 84917400 98504184 102608525 106146750 123130230 141529000 164173640 205217050 212293500 246260460 307825575 410434100 424587000 492520920 513042625 615651150 820868200 1026085250 1231302300 1539127875 2052170500 2462604600 3078255750 4104341000 6156511500 12313023000