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101149357 is a prime number
BaseRepresentation
bin1100000011101…
…10101010101101
321001022220211111
412001312222231
5201343234412
614011552021
72335520041
oct601665255
9231286744
10101149357
1152107011
1229a5b611
1317c569ba
14d610021
158d302a7
hex6076aad

101149357 has 2 divisors, whose sum is σ = 101149358. Its totient is φ = 101149356.

The previous prime is 101149343. The next prime is 101149403. The reversal of 101149357 is 753941101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100580841 + 568516 = 10029^2 + 754^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101149357 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101149957) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50574678 + 50574679.

It is an arithmetic number, because the mean of its divisors is an integer number (50574679).

Almost surely, 2101149357 is an apocalyptic number.

It is an amenable number.

101149357 is a deficient number, since it is larger than the sum of its proper divisors (1).

101149357 is an equidigital number, since it uses as much as digits as its factorization.

101149357 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3780, while the sum is 31.

The square root of 101149357 is about 10057.3036645017. The cubic root of 101149357 is about 465.9303944739.

The spelling of 101149357 in words is "one hundred one million, one hundred forty-nine thousand, three hundred fifty-seven".