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36900431 is a prime number
BaseRepresentation
bin1000110011000…
…0111001001111
32120102201212122
42030300321033
533421303211
63354523155
7625435301
oct214607117
976381778
1036900431
1119913927
12104364bb
13784ca99
144c87971
15338d6db
hex2330e4f

36900431 has 2 divisors, whose sum is σ = 36900432. Its totient is φ = 36900430.

The previous prime is 36900401. The next prime is 36900467. The reversal of 36900431 is 13400963.

36900431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is an emirp because it is prime and its reverse (13400963) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 36900431 - 222 = 32706127 is a prime.

It is a super-2 number, since 2×369004312 = 2723283615971522, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 36900431.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36900401) 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 as a sum of consecutive naturals, namely, 18450215 + 18450216.

It is an arithmetic number, because the mean of its divisors is an integer number (18450216).

Almost surely, 236900431 is an apocalyptic number.

36900431 is a deficient number, since it is larger than the sum of its proper divisors (1).

36900431 is an equidigital number, since it uses as much as digits as its factorization.

36900431 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 26.

The square root of 36900431 is about 6074.5724952461. The cubic root of 36900431 is about 332.9230103346.

The spelling of 36900431 in words is "thirty-six million, nine hundred thousand, four hundred thirty-one".