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212102000100 = 223252235668889
BaseRepresentation
bin1100010110001001000…
…0111010110111100100
3202021110202022222200100
43011202100322313210
511433341103000400
6241234401544100
721216041153064
oct3054220726744
9667422288610
10212102000100
1181a5205aa81
1235134645030
1317002647993
14a3a14913a4
1557b5b42100
hex316243ade4

212102000100 has 54 divisors (see below), whose sum is σ = 664821938690. Its totient is φ = 56560533120.

The previous prime is 212102000069. The next prime is 212102000101. The reversal of 212102000100 is 1000201212.

It can be written as a sum of positive squares in 3 ways, for example, as 61416734976 + 150685265124 = 247824^2 + 388182^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (212102000101) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 117833545 + ... + 117835344.

Almost surely, 2212102000100 is an apocalyptic number.

212102000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212102000100 is an abundant number, since it is smaller than the sum of its proper divisors (452719938590).

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

212102000100 is a wasteful number, since it uses less digits than its factorization.

212102000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235668909 (or 235668899 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 212102000100 its reverse (1000201212), we get a palindrome (213102201312).

The spelling of 212102000100 in words is "two hundred twelve billion, one hundred two million, one hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 235668889 471337778 707006667 942675556 1178344445 1414013334 2121020001 2356688890 2828026668 3535033335 4242040002 4713377780 5891722225 7070066670 8484080004 10605100005 11783444450 14140133340 17675166675 21210200010 23566888900 35350333350 42420400020 53025500025 70700666700 106051000050 212102000100