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107006005561 = 7133125323087
BaseRepresentation
bin110001110101000001…
…1100001000100111001
3101020012102200022010011
41203222003201010321
53223122014134221
6121054034021521
710505465016460
oct1435203410471
9336172608104
10107006005561
1141421111844
12188a41178a1
13a124139070
1452717019d7
152bb433d1e1
hex18ea0e1139

107006005561 has 48 divisors (see below), whose sum is σ = 138658770432. Its totient is φ = 80383605120.

The previous prime is 107006005523. The next prime is 107006005567. The reversal of 107006005561 is 165500600701.

It is not a de Polignac number, because 107006005561 - 27 = 107006005433 is a prime.

It is a super-2 number, since 2×1070060055612 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (107006005567) 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, 4623360 + ... + 4646446.

It is an arithmetic number, because the mean of its divisors is an integer number (2888724384).

Almost surely, 2107006005561 is an apocalyptic number.

It is an amenable number.

107006005561 is a deficient number, since it is larger than the sum of its proper divisors (31652764871).

107006005561 is a wasteful number, since it uses less digits than its factorization.

107006005561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23222 (or 23191 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 31.

The spelling of 107006005561 in words is "one hundred seven billion, six million, five thousand, five hundred sixty-one".

Divisors: 1 7 13 31 53 91 217 371 403 689 961 1643 2821 4823 6727 11501 12493 21359 23087 50933 87451 149513 161609 300131 356531 662129 715697 1223611 2100917 4634903 5009879 8565277 9304061 15906943 22186607 37931941 65128427 111348601 155306249 265523587 288425891 493115233 1175890171 2018981237 3451806631 8231231197 15286572223 107006005561