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212010011100 = 2232523747135461
BaseRepresentation
bin1100010101110011001…
…0000000100111011100
3202021020100020110111100
43011130302000213130
511433144030323400
6241221314153100
721213543234426
oct3053462004734
9667210213440
10212010011100
1181a05140308
1235109882790
1316cb957a614
14a393187816
1557aca21100
hex315cc809dc

212010011100 has 216 divisors, whose sum is σ = 697020262848. Its totient is φ = 53837222400.

The previous prime is 212010011069. The next prime is 212010011113. The reversal of 212010011100 is 1110010212.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1497370 + ... + 1632830.

Almost surely, 2212010011100 is an apocalyptic number.

212010011100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212010011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348510131424).

212010011100 is an abundant number, since it is smaller than the sum of its proper divisors (485010251748).

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

212010011100 is a wasteful number, since it uses less digits than its factorization.

212010011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135565 (or 135555 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 212010011100 its reverse (1110010212), we get a palindrome (213120021312).

The spelling of 212010011100 in words is "two hundred twelve billion, ten million, eleven thousand, one hundred".