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212337331201 = 795698095839
BaseRepresentation
bin1100010111000001001…
…0101000110000000001
3202022002011011001021001
43011300102220300001
511434331324044301
6241314005532001
721224626351432
oct3056022506001
9668064131231
10212337331201
1182062984796
123519b414001
131703c322658
14a3c482d489
1557cb629c01
hex31704a8c01

212337331201 has 16 divisors (see below), whose sum is σ = 215706240000. Its totient is φ = 208986575616.

The previous prime is 212337331163. The next prime is 212337331229. The reversal of 212337331201 is 102133733212.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-212337331201 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 212337331201.

It is not an unprimeable number, because it can be changed into a prime (212337331291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36362440 + ... + 36368278.

It is an arithmetic number, because the mean of its divisors is an integer number (13481640000).

Almost surely, 2212337331201 is an apocalyptic number.

It is an amenable number.

212337331201 is a deficient number, since it is larger than the sum of its proper divisors (3368908799).

212337331201 is an equidigital number, since it uses as much as digits as its factorization.

212337331201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7296.

The product of its (nonzero) digits is 4536, while the sum is 28.

The spelling of 212337331201 in words is "two hundred twelve billion, three hundred thirty-seven million, three hundred thirty-one thousand, two hundred one".

Divisors: 1 79 569 809 5839 44951 63911 460321 461281 3322391 4723751 36365359 262468889 373176329 2687814319 212337331201