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211007425401 = 32231317777359
BaseRepresentation
bin1100010010000100000…
…1011100101101111001
3202011122110200211110200
43010201001130231321
511424120400103101
6240534021232413
721146650344153
oct3044101345571
9664573624420
10211007425401
1181540210893
1234a89b62709
1316b89946546
14a2d9d65ad3
15574e9cd986
hex312105cb79

211007425401 has 24 divisors (see below), whose sum is σ = 318068424960. Its totient is φ = 134543509056.

The previous prime is 211007425357. The next prime is 211007425427. The reversal of 211007425401 is 104524700112.

211007425401 is a `hidden beast` number, since 2 + 110 + 0 + 7 + 4 + 2 + 540 + 1 = 666.

It is not a de Polignac number, because 211007425401 - 26 = 211007425337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (211007425441) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2688960 + ... + 2766318.

It is an arithmetic number, because the mean of its divisors is an integer number (13252851040).

Almost surely, 2211007425401 is an apocalyptic number.

It is an amenable number.

211007425401 is a deficient number, since it is larger than the sum of its proper divisors (107060999559).

211007425401 is a wasteful number, since it uses less digits than its factorization.

211007425401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90565 (or 90562 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The spelling of 211007425401 in words is "two hundred eleven billion, seven million, four hundred twenty-five thousand, four hundred one".

Divisors: 1 3 9 23 69 207 13177 39531 77359 118593 232077 303071 696231 909213 1779257 2727639 5337771 16013313 1019359543 3058078629 9174235887 23445269489 70335808467 211007425401