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200233312100 = 225231557115963
BaseRepresentation
bin1011101001111011010…
…1011101111101100100
3201010211121022011112022
42322132311131331210
511240034211441400
6231552542442312
720315653033133
oct2723665357544
9633747264468
10200233312100
1177a11537018
1232981893398
1315b6076ab83
14999709591a
15531dbadb85
hex2e9ed5df64

200233312100 has 72 divisors (see below), whose sum is σ = 449331740928. Its totient is φ = 77369846400.

The previous prime is 200233312061. The next prime is 200233312171. The reversal of 200233312100 is 1213332002.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1668719 + ... + 1784681.

It is an arithmetic number, because the mean of its divisors is an integer number (6240718624).

Almost surely, 2200233312100 is an apocalyptic number.

200233312100 is a gapful number since it is divisible by the number (20) 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 200233312100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224665870464).

200233312100 is an abundant number, since it is smaller than the sum of its proper divisors (249098428828).

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

200233312100 is a wasteful number, since it uses less digits than its factorization.

200233312100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116565 (or 116558 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 200233312100 its reverse (1213332002), we get a palindrome (201446644102).

The spelling of 200233312100 in words is "two hundred billion, two hundred thirty-three million, three hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 310 557 620 775 1114 1550 2228 2785 3100 5570 11140 13925 17267 27850 34534 55700 69068 86335 115963 172670 231926 345340 431675 463852 579815 863350 1159630 1726700 2319260 2899075 3594853 5798150 7189706 11596300 14379412 17974265 35948530 64591391 71897060 89871325 129182782 179742650 258365564 322956955 359485300 645913910 1291827820 1614784775 2002333121 3229569550 4004666242 6459139100 8009332484 10011665605 20023331210 40046662420 50058328025 100116656050 200233312100