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101153091349 is a prime number
BaseRepresentation
bin101111000110100110…
…0011010111100010101
3100200002112101110012201
41132031030122330111
53124130142410344
6114245153444501
710210445042602
oct1361514327425
9320075343181
10101153091349
1139998312762
121772bb70731
13970068b90b
144c7825d6a9
1529705ab4d4
hex178d31af15

101153091349 has 2 divisors, whose sum is σ = 101153091350. Its totient is φ = 101153091348.

The previous prime is 101153091323. The next prime is 101153091371. The reversal of 101153091349 is 943190351101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 56077555249 + 45075536100 = 236807^2 + 212310^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101153091349 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101153091449) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50576545674 + 50576545675.

It is an arithmetic number, because the mean of its divisors is an integer number (50576545675).

Almost surely, 2101153091349 is an apocalyptic number.

It is an amenable number.

101153091349 is a deficient number, since it is larger than the sum of its proper divisors (1).

101153091349 is an equidigital number, since it uses as much as digits as its factorization.

101153091349 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 14580, while the sum is 37.

The spelling of 101153091349 in words is "one hundred one billion, one hundred fifty-three million, ninety-one thousand, three hundred forty-nine".