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212001100100 = 22522120011001
BaseRepresentation
bin1100010101110001000…
…0000001000101000100
3202021012201110201220022
43011130100001011010
511433134240200400
6241220355154312
721213404422016
oct3053420010504
9667181421808
10212001100100
1181a00104349
12351068a5998
1316cb777a63a
14a391d081b6
1557abd60b85
hex315c401144

212001100100 has 18 divisors (see below), whose sum is σ = 460042387434. Its totient is φ = 84800440000.

The previous prime is 212001100081. The next prime is 212001100139. The reversal of 212001100100 is 1001100212.

It can be written as a sum of positive squares in 3 ways, for example, as 54239615236 + 157761484864 = 232894^2 + 397192^2 .

It is a super-2 number, since 2×2120011001002 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1060005401 + ... + 1060005600.

It is an arithmetic number, because the mean of its divisors is an integer number (25557910413).

Almost surely, 2212001100100 is an apocalyptic number.

212001100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212001100100 is an abundant number, since it is smaller than the sum of its proper divisors (248041287334).

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

212001100100 is a wasteful number, since it uses less digits than its factorization.

212001100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2120011015 (or 2120011008 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 212001100100 its reverse (1001100212), we get a palindrome (213002200312).

The spelling of 212001100100 in words is "two hundred twelve billion, one million, one hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2120011001 4240022002 8480044004 10600055005 21200110010 42400220020 53000275025 106000550050 212001100100