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213420694900 = 225272291331383
BaseRepresentation
bin1100011011000011011…
…1010101110101110100
3202101212122200121212111
43012300313111311310
511444041144214100
6242013310100404
721263522655250
oct3066067256564
9671778617774
10213420694900
1182569466996
12354421aa704
13171828c9c6a
14a48867b260
1558417c66ba
hex31b0dd5d74

213420694900 has 72 divisors (see below), whose sum is σ = 531595003520. Its totient is φ = 72853223040.

The previous prime is 213420694871. The next prime is 213420694901. The reversal of 213420694900 is 9496024312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213420694901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 505392 + ... + 825991.

Almost surely, 2213420694900 is an apocalyptic number.

213420694900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213420694900 is an abundant number, since it is smaller than the sum of its proper divisors (318174308620).

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

213420694900 is a wasteful number, since it uses less digits than its factorization.

213420694900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331633 (or 1331626 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 40.

The spelling of 213420694900 in words is "two hundred thirteen billion, four hundred twenty million, six hundred ninety-four thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 229 350 458 700 916 1145 1603 2290 3206 4580 5725 6412 8015 11450 16030 22900 32060 40075 80150 160300 1331383 2662766 5325532 6656915 9319681 13313830 18639362 26627660 33284575 37278724 46598405 66569150 93196810 133138300 186393620 232992025 304886707 465984050 609773414 931968100 1219546828 1524433535 2134206949 3048867070 4268413898 6097734140 7622167675 8536827796 10671034745 15244335350 21342069490 30488670700 42684138980 53355173725 106710347450 213420694900