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151904381 is a prime number
BaseRepresentation
bin10010000110111…
…10000001111101
3101120211112122012
421003132001331
5302341420011
623023501005
73523110626
oct1103360175
9346745565
10151904381
1178823012
1242a57765
1325617965
1416262a4d
15d508a8b
hex90de07d

151904381 has 2 divisors, whose sum is σ = 151904382. Its totient is φ = 151904380.

The previous prime is 151904377. The next prime is 151904383. The reversal of 151904381 is 183409151.

151904381 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 146192281 + 5712100 = 12091^2 + 2390^2 .

It is a cyclic number.

It is not a de Polignac number, because 151904381 - 22 = 151904377 is a prime.

It is a super-2 number, since 2×1519043812 = 46149881933986322, which contains 22 as substring.

Together with 151904383, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (151904383) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 75952190 + 75952191.

It is an arithmetic number, because the mean of its divisors is an integer number (75952191).

Almost surely, 2151904381 is an apocalyptic number.

It is an amenable number.

151904381 is a deficient number, since it is larger than the sum of its proper divisors (1).

151904381 is an equidigital number, since it uses as much as digits as its factorization.

151904381 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4320, while the sum is 32.

The square root of 151904381 is about 12324.9495333652. The cubic root of 151904381 is about 533.5683984205.

The spelling of 151904381 in words is "one hundred fifty-one million, nine hundred four thousand, three hundred eighty-one".