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212211313000 = 23531491424237
BaseRepresentation
bin1100010110100011000…
…1111010100101101000
3202021202101000122210021
43011220301322211220
511434102044004000
6241253304530224
721221536253431
oct3055061724550
9667671018707
10212211313000
1181aa8832415
1235165180974
131701c19c37b
14a3b1bc8488
1557c053611a
hex3168c7a968

212211313000 has 64 divisors (see below), whose sum is σ = 499907538000. Its totient is φ = 84314771200.

The previous prime is 212211312991. The next prime is 212211313019. The reversal of 212211313000 is 313112212.

It can be written as a sum of positive squares in 8 ways, for example, as 19492068996 + 192719244004 = 139614^2 + 438998^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 563119 + ... + 861118.

Almost surely, 2212211313000 is an apocalyptic number.

212211313000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212211313000 is an abundant number, since it is smaller than the sum of its proper divisors (287696225000).

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

212211313000 is a wasteful number, since it uses less digits than its factorization.

212211313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1424407 (or 1424393 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 212211313000 its reverse (313112212), we get a palindrome (212524425212).

The spelling of 212211313000 in words is "two hundred twelve billion, two hundred eleven million, three hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 149 200 250 298 500 596 745 1000 1192 1490 2980 3725 5960 7450 14900 18625 29800 37250 74500 149000 1424237 2848474 5696948 7121185 11393896 14242370 28484740 35605925 56969480 71211850 142423700 178029625 212211313 284847400 356059250 424422626 712118500 848845252 1061056565 1424237000 1697690504 2122113130 4244226260 5305282825 8488452520 10610565650 21221131300 26526414125 42442262600 53052828250 106105656500 212211313000