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12300031022010 = 2351943953952609
BaseRepresentation
bin1011001011111101001011…
…1110101101001110111010
31121112212112022101012201220
42302333102332231032322
53103010430420201020
642054320052052510
72406435143431134
oct262772276551672
947485468335656
1012300031022010
113a1246093a426
1214679b3604136
136b2b70a906c4
14307478cb8054
15164e431ab240
hexb2fd2fad3ba

12300031022010 has 128 divisors (see below), whose sum is σ = 31800345984000. Its totient is φ = 3034735828992.

The previous prime is 12300031021973. The next prime is 12300031022023. The reversal of 12300031022010 is 1022013000321.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 233774586 + ... + 233827194.

It is an arithmetic number, because the mean of its divisors is an integer number (248440203000).

Almost surely, 212300031022010 is an apocalyptic number.

12300031022010 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 12300031022010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15900172992000).

12300031022010 is an abundant number, since it is smaller than the sum of its proper divisors (19500314961990).

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

12300031022010 is a wasteful number, since it uses less digits than its factorization.

12300031022010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62220.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12300031022010 its reverse (1022013000321), we get a palindrome (13322044022331).

The spelling of 12300031022010 in words is "twelve trillion, three hundred billion, thirty-one million, twenty-two thousand, ten".

Divisors: 1 2 3 5 6 10 15 19 30 38 43 57 86 95 114 129 190 215 258 285 430 570 645 817 1290 1634 2451 4085 4902 8170 9539 12255 19078 24510 28617 47695 52609 57234 95390 105218 143085 157827 181241 263045 286170 315654 362482 410177 526090 543723 789135 820354 906205 999571 1087446 1230531 1578270 1812410 1999142 2050885 2262187 2461062 2718615 2998713 4101770 4524374 4997855 5437230 5997426 6152655 6786561 7793363 9995710 11310935 12305310 13573122 14993565 15586726 22621870 23380089 29987130 33932805 38966815 42981553 46760178 67865610 77933630 85963106 116900445 128944659 214907765 233800890 257889318 429815530 501837251 644723295 1003674502 1289446590 1505511753 2509186255 3011023506 5018372510 7527558765 9534907769 15055117530 19069815538 21579001793 28604723307 43158003586 47674538845 57209446614 64737005379 95349077690 107895008965 129474010758 143023616535 215790017930 286047233070 323685026895 410001034067 647370053790 820002068134 1230003102201 2050005170335 2460006204402 4100010340670 6150015511005 12300031022010