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212013302121312 = 2537013150459197
BaseRepresentation
bin110000001101001100110001…
…100011111000001101100000
31000210200021101112222221100120
4300031030301203320031200
5210242111220320340222
62030525322202120240
762441312161441026
oct6015146143701540
91023607345887316
10212013302121312
116161037796583a
121b941721ab0080
13913b9cb811963
143a4d6da134716
151979e44bde15c
hexc0d3318f8360

212013302121312 has 48 divisors (see below), whose sum is σ = 557328833962992. Its totient is φ = 70570285990400.

The previous prime is 212013302121311. The next prime is 212013302121319. The reversal of 212013302121312 is 213121203310212.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212013302121311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1575162303 + ... + 1575296894.

It is an arithmetic number, because the mean of its divisors is an integer number (11611017374229).

Almost surely, 2212013302121312 is an apocalyptic number.

It is an amenable number.

212013302121312 is an abundant number, since it is smaller than the sum of its proper divisors (345315531841680).

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

212013302121312 is a wasteful number, since it uses less digits than its factorization.

212013302121312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3150459911 (or 3150459903 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 212013302121312 its reverse (213121203310212), we get a palindrome (425134505431524).

The spelling of 212013302121312 in words is "two hundred twelve trillion, thirteen billion, three hundred two million, one hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 701 1402 2103 2804 4206 5608 8412 11216 16824 22432 33648 67296 3150459197 6300918394 9451377591 12601836788 18902755182 25203673576 37805510364 50407347152 75611020728 100814694304 151222041456 302444082912 2208471897097 4416943794194 6625415691291 8833887588388 13250831382582 17667775176776 26501662765164 35335550353552 53003325530328 70671100707104 106006651060656 212013302121312