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610137611141 is a prime number
BaseRepresentation
bin10001110000011110000…
…10010001101110000101
32011022212112120001121112
420320033002101232011
534444030212024031
61144143210254405
762036531060432
oct10701702215605
92138775501545
10610137611141
11215837858923
129a2b9a27405
13456c6cc9896
14217607c8b89
1510d0ed5e62b
hex8e0f091b85

610137611141 has 2 divisors, whose sum is σ = 610137611142. Its totient is φ = 610137611140.

The previous prime is 610137611117. The next prime is 610137611183. The reversal of 610137611141 is 141116731016.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 513988624900 + 96148986241 = 716930^2 + 310079^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-610137611141 is a prime.

It is a super-2 number, since 2×6101376111412 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 610137611098 and 610137611107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (610137611641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 305068805570 + 305068805571.

It is an arithmetic number, because the mean of its divisors is an integer number (305068805571).

Almost surely, 2610137611141 is an apocalyptic number.

It is an amenable number.

610137611141 is a deficient number, since it is larger than the sum of its proper divisors (1).

610137611141 is an equidigital number, since it uses as much as digits as its factorization.

610137611141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3024, while the sum is 32.

The spelling of 610137611141 in words is "six hundred ten billion, one hundred thirty-seven million, six hundred eleven thousand, one hundred forty-one".