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212012212010200 = 23527151437294293
BaseRepresentation
bin110000001101001011110000…
…100101011011110011011000
31000210200011120120202120000221
4300031023300211123303120
5210242102002233311300
62030525022101205424
762441243153602360
oct6015136045336330
91023604516676027
10212012212010200
116160a968595168
121b941478a00874
13913b886a140b4
143a4d63544b9a0
151979dce15d31a
hexc0d2f095bcd8

212012212010200 has 48 divisors (see below), whose sum is σ = 563346734773680. Its totient is φ = 72689901260160.

The previous prime is 212012212010197. The next prime is 212012212010227. The reversal of 212012212010200 is 2010212210212.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75718645747 + ... + 75718648546.

It is an arithmetic number, because the mean of its divisors is an integer number (11736390307785).

Almost surely, 2212012212010200 is an apocalyptic number.

212012212010200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212012212010200 is an abundant number, since it is smaller than the sum of its proper divisors (351334522763480).

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

212012212010200 is a wasteful number, since it uses less digits than its factorization.

212012212010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151437294316 (or 151437294307 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 212012212010200 its reverse (2010212210212), we get a palindrome (214022424220412).

It can be divided in two parts, 212012 and 212010200, that added together give a palindrome (212222212).

The spelling of 212012212010200 in words is "two hundred twelve trillion, twelve billion, two hundred twelve million, ten thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 151437294293 302874588586 605749177172 757186471465 1060061060051 1211498354344 1514372942930 2120122120102 3028745885860 3785932357325 4240244240204 5300305300255 6057491771720 7571864714650 8480488480408 10600610600510 15143729429300 21201221201020 26501526501275 30287458858600 42402442402040 53003053002550 106006106005100 212012212010200