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12300031310130 = 23351033791166987
BaseRepresentation
bin1011001011111101001011…
…1111110011100100110010
31121112212112022220211222000
42302333102333303210302
53103010431003411010
642054320102154430
72406435146041134
oct262772277634462
947485468824860
1012300031310130
113a12461016943
1214679b3722a16
136b2b70b618a5
14307478d51054
15164e432167c0
hexb2fd2ff3932

12300031310130 has 128 divisors (see below), whose sum is σ = 33205943347200. Its totient is φ = 3239590479552.

The previous prime is 12300031310111. The next prime is 12300031310137. The reversal of 12300031310130 is 3101313000321.

It is a happy number.

12300031310130 is a `hidden beast` number, since 12 + 300 + 0 + 31 + 310 + 13 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12300031310137) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9956497 + ... + 11123483.

It is an arithmetic number, because the mean of its divisors is an integer number (259421432400).

Almost surely, 212300031310130 is an apocalyptic number.

12300031310130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12300031310130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16602971673600).

12300031310130 is an abundant number, since it is smaller than the sum of its proper divisors (20905912037070).

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

12300031310130 is a wasteful number, since it uses less digits than its factorization.

12300031310130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167485 (or 1167479 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 12300031310130 its reverse (3101313000321), we get a palindrome (15401344310451).

The spelling of 12300031310130 in words is "twelve trillion, three hundred billion, thirty-one million, three hundred ten thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 103 135 206 270 309 379 515 618 758 927 1030 1137 1545 1854 1895 2274 2781 3090 3411 3790 4635 5562 5685 6822 9270 10233 11370 13905 17055 20466 27810 34110 39037 51165 78074 102330 117111 195185 234222 351333 390370 585555 702666 1053999 1166987 1171110 1756665 2107998 2333974 3500961 3513330 5269995 5834935 7001922 10502883 10539990 11669870 17504805 21005766 31508649 35009610 52514415 63017298 105028830 120199661 157543245 240399322 315086490 360598983 442288073 600998305 721197966 884576146 1081796949 1201996610 1326864219 1802994915 2163593898 2211440365 2653728438 3245390847 3605989830 3980592657 4422880730 5408984745 6490781694 6634321095 7961185314 10817969490 11941777971 13268642190 16226954235 19902963285 23883555942 32453908470 39805926570 45555671519 59708889855 91111343038 119417779710 136667014557 227778357595 273334029114 410001043671 455556715190 683335072785 820002087342 1230003131013 1366670145570 2050005218355 2460006262026 4100010436710 6150015655065 12300031310130