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10204212300 = 22352477110193
BaseRepresentation
bin10011000000011011…
…11110110001001100
3222100011000200201220
421200031332301030
5131344234243200
64404315403340
7510604242042
oct114015766114
928304020656
1010204212300
114367014807
121b89453550
13c680bab59
146cb320392
153eac9a4a0
hex26037ec4c

10204212300 has 144 divisors (see below), whose sum is σ = 30580042752. Its totient is φ = 2625459200.

The previous prime is 10204212299. The next prime is 10204212313. The reversal of 10204212300 is 321240201.

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 10204212300.

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, 996004 + ... + 1006196.

It is an arithmetic number, because the mean of its divisors is an integer number (212361408).

Almost surely, 210204212300 is an apocalyptic number.

10204212300 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 10204212300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15290021376).

10204212300 is an abundant number, since it is smaller than the sum of its proper divisors (20375830452).

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

10204212300 is a wasteful number, since it uses less digits than its factorization.

10204212300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10328 (or 10321 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 10204212300 its reverse (321240201), we get a palindrome (10525452501).

The spelling of 10204212300 in words is "ten billion, two hundred four million, two hundred twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 47 50 60 71 75 94 100 141 142 150 188 213 235 282 284 300 355 426 470 564 705 710 852 940 1065 1175 1410 1420 1775 2130 2350 2820 3337 3525 3550 4260 4700 5325 6674 7050 7100 10011 10193 10650 13348 14100 16685 20022 20386 21300 30579 33370 40044 40772 50055 50965 61158 66740 83425 100110 101930 122316 152895 166850 200220 203860 250275 254825 305790 333700 479071 500550 509650 611580 723703 764475 958142 1001100 1019300 1437213 1447406 1528950 1916284 2171109 2395355 2874426 2894812 3057900 3618515 4342218 4790710 5748852 7186065 7237030 8684436 9581420 10855545 11976775 14372130 14474060 18092575 21711090 23953550 28744260 34014041 35930325 36185150 43422180 47907100 54277725 68028082 71860650 72370300 102042123 108555450 136056164 143721300 170070205 204084246 217110900 340140410 408168492 510210615 680280820 850351025 1020421230 1700702050 2040842460 2551053075 3401404100 5102106150 10204212300