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3105665305661 = 19372794013769
BaseRepresentation
bin101101001100011000000…
…100111100110000111101
3101222220021011011222001102
4231030120010330300331
5401340400304240121
610334420053422445
7440243165351522
oct55143004746075
911886234158042
103105665305661
11a98118111876
12421a9503aa25
13196b2ac809c9
14aa45a521149
1555bbb00290b
hex2d31813cc3d

3105665305661 has 48 divisors (see below), whose sum is σ = 3411783648000. Its totient is φ = 2818656921600.

The previous prime is 3105665305651. The next prime is 3105665305663. The reversal of 3105665305661 is 1665035665013.

It is a happy number.

It is not a de Polignac number, because 3105665305661 - 26 = 3105665305597 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3105665305663) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 824000585 + ... + 824004353.

It is an arithmetic number, because the mean of its divisors is an integer number (71078826000).

Almost surely, 23105665305661 is an apocalyptic number.

It is an amenable number.

3105665305661 is a deficient number, since it is larger than the sum of its proper divisors (306118342339).

3105665305661 is a wasteful number, since it uses less digits than its factorization.

3105665305661 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4342 (or 4305 counting only the distinct ones).

The product of its (nonzero) digits is 1458000, while the sum is 47.

The spelling of 3105665305661 in words is "three trillion, one hundred five billion, six hundred sixty-five million, three hundred five thousand, six hundred sixty-one".

Divisors: 1 19 37 79 401 703 1369 1501 2923 3769 7619 14837 26011 31679 55537 71611 108151 139453 281903 297751 548969 601901 1172123 1511369 2054869 2649607 5159761 5657269 10430411 11016787 22270337 28716011 43368551 55920653 98035459 119398151 209318953 407621119 824002469 1062492407 2069064161 2268564869 4417731587 7744801261 39312219059 83936900153 163456068719 3105665305661