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213106650100 = 225217125356853
BaseRepresentation
bin1100011001111000100…
…1010110101111110100
3202101001202202111101121
43012132021112233310
511442420300300400
6241522211033324
721252660431611
oct3063611265764
9671052674347
10213106650100
118241816a433
1235374b9b844
1317132822536
14a458a8d508
155823e4121a
hex319e256bf4

213106650100 has 36 divisors (see below), whose sum is σ = 489643871724. Its totient is φ = 80228385280.

The previous prime is 213106650091. The next prime is 213106650131. The reversal of 213106650100 is 1056601312.

It can be written as a sum of positive squares in 6 ways, for example, as 8319628944 + 204787021156 = 91212^2 + 452534^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62676727 + ... + 62680126.

It is an arithmetic number, because the mean of its divisors is an integer number (13601218659).

Almost surely, 2213106650100 is an apocalyptic number.

213106650100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213106650100 is an abundant number, since it is smaller than the sum of its proper divisors (276537221624).

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

213106650100 is a wasteful number, since it uses less digits than its factorization.

213106650100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125356884 (or 125356877 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The spelling of 213106650100 in words is "two hundred thirteen billion, one hundred six million, six hundred fifty thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 125356853 250713706 501427412 626784265 1253568530 2131066501 2507137060 3133921325 4262133002 6267842650 8524266004 10655332505 12535685300 21310665010 42621330020 53276662525 106553325050 213106650100