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901007381 is a prime number
BaseRepresentation
bin110101101101000…
…100100000010101
32022210101220202202
4311231010200111
53321124214011
6225223414245
731220302451
oct6555044025
92283356682
10901007381
114226601aa
122118b4385
1311488a081
148793d661
155417a23b
hex35b44815

901007381 has 2 divisors, whose sum is σ = 901007382. Its totient is φ = 901007380.

The previous prime is 901007377. The next prime is 901007399. The reversal of 901007381 is 183700109.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 844832356 + 56175025 = 29066^2 + 7495^2 .

It is an emirp because it is prime and its reverse (183700109) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 901007381 - 22 = 901007377 is a prime.

It is a super-2 number, since 2×9010073812 = 1623628601232958322, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (901007311) 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, 450503690 + 450503691.

It is an arithmetic number, because the mean of its divisors is an integer number (450503691).

Almost surely, 2901007381 is an apocalyptic number.

It is an amenable number.

901007381 is a deficient number, since it is larger than the sum of its proper divisors (1).

901007381 is an equidigital number, since it uses as much as digits as its factorization.

901007381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512, while the sum is 29.

The square root of 901007381 is about 30016.7849877364. The cubic root of 901007381 is about 965.8494783095.

The spelling of 901007381 in words is "nine hundred one million, seven thousand, three hundred eighty-one".