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88105734131 = 17103211238471
BaseRepresentation
bin101001000001110000…
…0101100111111110011
322102102020111000212012
41102003200230333303
52420420031443011
6104250351353135
76236225245352
oct1220340547763
9272366430765
1088105734131
1134402432108
12150aa5227ab
1384015486bc
14439b4c7999
152459e02a8b
hex148382cff3

88105734131 has 16 divisors (see below), whose sum is σ = 94640951808. Its totient is φ = 81728438400.

The previous prime is 88105734107. The next prime is 88105734161. The reversal of 88105734131 is 13143750188.

It is a happy number.

It is not a de Polignac number, because 88105734131 - 214 = 88105717747 is a prime.

It is a super-2 number, since 2×881057341312 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (88105734161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 250226 + ... + 488696.

It is an arithmetic number, because the mean of its divisors is an integer number (5915059488).

Almost surely, 288105734131 is an apocalyptic number.

88105734131 is a deficient number, since it is larger than the sum of its proper divisors (6535217677).

88105734131 is a wasteful number, since it uses less digits than its factorization.

88105734131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238802.

The product of its (nonzero) digits is 80640, while the sum is 41.

The spelling of 88105734131 in words is "eighty-eight billion, one hundred five million, seven hundred thirty-four thousand, one hundred thirty-one".

Divisors: 1 17 103 211 1751 3587 21733 238471 369461 4054007 24562513 50317381 417562721 855395477 5182690243 88105734131