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12300031131000 = 2335317241177081
BaseRepresentation
bin1011001011111101001011…
…1111000111110101111000
31121112212112022120202020120
42302333102333013311320
53103010430432143000
642054320054253240
72406435144363654
oct262772277076570
947485468522216
1012300031131000
113a12460a042a8
1214679b3657220
136b2b70acb1b2
14307478d05a64
15164e431cd6a0
hexb2fd2fc7d78

12300031131000 has 128 divisors (see below), whose sum is σ = 40633514775360. Its totient is φ = 3087066624000.

The previous prime is 12300031130999. The next prime is 12300031131041. The reversal of 12300031131000 is 13113000321.

It is a super-2 number, since 2×123000311310002 (a number of 27 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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120537541 + ... + 120639540.

Almost surely, 212300031131000 is an apocalyptic number.

12300031131000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12300031131000 is an abundant number, since it is smaller than the sum of its proper divisors (28333483644360).

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

12300031131000 is a wasteful number, since it uses less digits than its factorization.

12300031131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241177122 (or 241177108 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 12300031131000 its reverse (13113000321), we get a palindrome (12313144131321).

The spelling of 12300031131000 in words is "twelve trillion, three hundred billion, thirty-one million, one hundred thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 25 30 34 40 50 51 60 68 75 85 100 102 120 125 136 150 170 200 204 250 255 300 340 375 408 425 500 510 600 680 750 850 1000 1020 1275 1500 1700 2040 2125 2550 3000 3400 4250 5100 6375 8500 10200 12750 17000 25500 51000 241177081 482354162 723531243 964708324 1205885405 1447062486 1929416648 2411770810 2894124972 3617656215 4100010377 4823541620 5788249944 6029427025 7235312430 8200020754 9647083240 12058854050 12300031131 14470624860 16400041508 18088281075 20500051885 24117708100 24600062262 28941249720 30147135125 32800083016 36176562150 41000103770 48235416200 49200124524 60294270250 61500155655 72353124300 82000207540 90441405375 98400249048 102500259425 120588540500 123000311310 144706248600 164000415080 180882810750 205000518850 241177081000 246000622620 307500778275 361765621500 410001037700 492001245240 512501297125 615001556550 723531243000 820002075400 1025002594250 1230003113100 1537503891375 2050005188500 2460006226200 3075007782750 4100010377000 6150015565500 12300031131000