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10100203221300 = 22352295321904583
BaseRepresentation
bin1001001011111010001100…
…0001100111000100110100
31022202120101112021022021220
42102332203001213010310
52310440204011040200
633251545211510340
72061500310564603
oct222764301470464
938676345238256
1010100203221300
113244521452305
1211715a17583b0
135835a2aac54a
1426cbd116da3a
15127ae1e214a0
hex92fa3067134

10100203221300 has 144 divisors (see below), whose sum is σ = 30801349837440. Its totient is φ = 2551445711360.

The previous prime is 10100203221211. The next prime is 10100203221323. The reversal of 10100203221300 is 312230200101.

It is a super-2 number, since 2×101002032213002 (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 self number, because there is not a number n which added to its sum of digits gives 10100203221300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10491192 + ... + 11413391.

It is an arithmetic number, because the mean of its divisors is an integer number (213898262760).

Almost surely, 210100203221300 is an apocalyptic number.

10100203221300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100203221300 is an abundant number, since it is smaller than the sum of its proper divisors (20701146616140).

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

10100203221300 is a wasteful number, since it uses less digits than its factorization.

10100203221300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21904682 (or 21904675 counting only the distinct ones).

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

Adding to 10100203221300 its reverse (312230200101), we get a palindrome (10412433421401).

The spelling of 10100203221300 in words is "ten trillion, one hundred billion, two hundred three million, two hundred twenty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 53 58 60 75 87 100 106 116 145 150 159 174 212 265 290 300 318 348 435 530 580 636 725 795 870 1060 1325 1450 1537 1590 1740 2175 2650 2900 3074 3180 3975 4350 4611 5300 6148 7685 7950 8700 9222 15370 15900 18444 23055 30740 38425 46110 76850 92220 115275 153700 230550 461100 21904583 43809166 65713749 87618332 109522915 131427498 219045830 262854996 328568745 438091660 547614575 635232907 657137490 1095229150 1160942899 1270465814 1314274980 1642843725 1905698721 2190458300 2321885798 2540931628 3176164535 3285687450 3482828697 3811397442 4643771596 5804714495 6352329070 6571374900 6965657394 7622794884 9528493605 11609428990 12704658140 13931314788 15880822675 17414143485 19056987210 23218857980 29023572475 31761645350 33667344071 34828286970 38113974420 47642468025 58047144950 63523290700 67334688142 69656573940 87070717425 95284936050 101002032213 116094289900 134669376284 168336720355 174141434850 190569872100 202004064426 336673440710 348282869700 404008128852 505010161065 673346881420 841683601775 1010020322130 1683367203550 2020040644260 2525050805325 3366734407100 5050101610650 10100203221300