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41100013961 is a prime number
BaseRepresentation
bin100110010001110000…
…000111000110001001
310221002022221000222022
4212101300013012021
51133133100421321
630514151534225
72653332232406
oct462160070611
9127068830868
1041100013961
1116480982896
127b7038a375
133b4cc396b6
141dbc7112ad
151108371dab
hex991c07189

41100013961 has 2 divisors, whose sum is σ = 41100013962. Its totient is φ = 41100013960.

The previous prime is 41100013949. The next prime is 41100013979. The reversal of 41100013961 is 16931000114.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33063967225 + 8036046736 = 181835^2 + 89644^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-41100013961 is a prime.

It is a super-2 number, since 2×411000139612 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 41100013961.

It is not a weakly prime, because it can be changed into another prime (41100043961) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20550006980 + 20550006981.

It is an arithmetic number, because the mean of its divisors is an integer number (20550006981).

Almost surely, 241100013961 is an apocalyptic number.

It is an amenable number.

41100013961 is a deficient number, since it is larger than the sum of its proper divisors (1).

41100013961 is an equidigital number, since it uses as much as digits as its factorization.

41100013961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 26.

The spelling of 41100013961 in words is "forty-one billion, one hundred million, thirteen thousand, nine hundred sixty-one".