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103077252161 = 1324118182189
BaseRepresentation
bin101111111111111100…
…0100000110001000001
3100212001122000221121222
41133333320200301001
53142100234032121
6115204131124425
710306231121102
oct1377770406101
9325048027558
10103077252161
113a795470204
1217b88443715
139949201700
144dbba163a9
152a3448d0ab
hex17ffe20c41

103077252161 has 24 divisors (see below), whose sum is σ = 114971645880. Its totient is φ = 92313561600.

The previous prime is 103077252151. The next prime is 103077252167. The reversal of 103077252161 is 161252770301.

It can be written as a sum of positive squares in 12 ways, for example, as 101904600625 + 1172651536 = 319225^2 + 34244^2 .

It is a de Polignac number, because none of the positive numbers 2k-103077252161 is a prime.

It is not an unprimeable number, because it can be changed into a prime (103077252167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1213055 + ... + 1295243.

It is an arithmetic number, because the mean of its divisors is an integer number (4790485245).

Almost surely, 2103077252161 is an apocalyptic number.

It is an amenable number.

103077252161 is a deficient number, since it is larger than the sum of its proper divisors (11894393719).

103077252161 is a wasteful number, since it uses less digits than its factorization.

103077252161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82437 (or 82424 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 35.

The spelling of 103077252161 in words is "one hundred three billion, seventy-seven million, two hundred fifty-two thousand, one hundred sixty-one".

Divisors: 1 13 41 169 181 533 2353 6929 7421 30589 82189 96473 1068457 1254149 3369749 13889941 14876209 43806737 193390717 569487581 609924569 2514079321 7929019397 103077252161