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213203312200 = 235231131262501
BaseRepresentation
bin1100011010001111101…
…0000101111001001000
3202101022111122102212101
43012203322011321020
511443120021442300
6241535542523144
721255243152404
oct3064372057110
9671274572771
10213203312200
118246779106a
12353a14364b4
1317149867948
14a467852104
15582c686b6a
hex31a3e85e48

213203312200 has 96 divisors (see below), whose sum is σ = 515595928320. Its totient is φ = 81900000000.

The previous prime is 213203312171. The next prime is 213203312233. The reversal of 213203312200 is 2213302312.

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, 680950 + ... + 943450.

It is an arithmetic number, because the mean of its divisors is an integer number (5370790920).

Almost surely, 2213203312200 is an apocalyptic number.

213203312200 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 213203312200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257797964160).

213203312200 is an abundant number, since it is smaller than the sum of its proper divisors (302392616120).

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

213203312200 is a wasteful number, since it uses less digits than its factorization.

213203312200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262679 (or 262670 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 213203312200 its reverse (2213302312), we get a palindrome (215416614512).

The spelling of 213203312200 in words is "two hundred thirteen billion, two hundred three million, three hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 131 155 200 248 262 310 524 620 655 775 1048 1240 1310 1550 2620 3100 3275 4061 5240 6200 6550 8122 13100 16244 20305 26200 32488 40610 81220 101525 162440 203050 262501 406100 525002 812200 1050004 1312505 2100008 2625010 5250020 6562525 8137531 10500040 13125050 16275062 26250100 32550124 34387631 40687655 52500200 65100248 68775262 81375310 137550524 162750620 171938155 203438275 275101048 325501240 343876310 406876550 687752620 813753100 859690775 1066016561 1375505240 1627506200 1719381550 2132033122 3438763100 4264066244 5330082805 6877526200 8528132488 10660165610 21320331220 26650414025 42640662440 53300828050 106601656100 213203312200