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211200021200 = 24527431754153
BaseRepresentation
bin1100010010110010000…
…0001001001011010000
3202012010220002201020102
43010230200021023100
511430014201134300
6241005101231532
721154506363020
oct3045440111320
9665126081212
10211200021200
11816299a6973
1234b225625a8
1316bba80a65c
14a31777ba80
1557618740d5
hex312c8092d0

211200021200 has 120 divisors (see below), whose sum is σ = 593381181888. Its totient is φ = 70727408640.

The previous prime is 211200021167. The next prime is 211200021209. The reversal of 211200021200 is 2120002112.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211200021209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 756677 + ... + 997476.

Almost surely, 2211200021200 is an apocalyptic number.

211200021200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211200021200 is an abundant number, since it is smaller than the sum of its proper divisors (382181160688).

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

211200021200 is a wasteful number, since it uses less digits than its factorization.

211200021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1754221 (or 1754210 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 211200021200 its reverse (2120002112), we get a palindrome (213320023312).

The spelling of 211200021200 in words is "two hundred eleven billion, two hundred million, twenty-one thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 43 50 56 70 80 86 100 112 140 172 175 200 215 280 301 344 350 400 430 560 602 688 700 860 1075 1204 1400 1505 1720 2150 2408 2800 3010 3440 4300 4816 6020 7525 8600 12040 15050 17200 24080 30100 60200 120400 1754153 3508306 7016612 8770765 12279071 14033224 17541530 24558142 28066448 35083060 43853825 49116284 61395355 70166120 75428579 87707650 98232568 122790710 140332240 150857158 175415300 196465136 245581420 301714316 306976775 350830600 377142895 491162840 528000053 603428632 613953550 701661200 754285790 982325680 1056000106 1206857264 1227907100 1508571580 1885714475 2112000212 2455814200 2640000265 3017143160 3771428950 4224000424 4911628400 5280000530 6034286320 7542857900 8448000848 10560001060 13200001325 15085715800 21120002120 26400002650 30171431600 42240004240 52800005300 105600010600 211200021200