Search a number
-
+
102611088107 = 1129799414327
BaseRepresentation
bin101111110010000011…
…0001111001011101011
3100210212010212100202122
41133210012033023223
53140121414304412
6115045555421455
710261540600163
oct1374406171353
9323763770678
10102611088107
113a576314260
1217a782b488b
1398a37655a8
144d75b4b5a3
152a085aa572
hex17e418f2eb

102611088107 has 32 divisors (see below), whose sum is σ = 117416908800. Its totient is φ = 88811049600.

The previous prime is 102611088101. The next prime is 102611088143. The reversal of 102611088107 is 701880116201.

It is a cyclic number.

It is not a de Polignac number, because 102611088107 - 224 = 102594310891 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102611088101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23711978 + ... + 23716304.

It is an arithmetic number, because the mean of its divisors is an integer number (3669278400).

Almost surely, 2102611088107 is an apocalyptic number.

102611088107 is a deficient number, since it is larger than the sum of its proper divisors (14805820693).

102611088107 is a wasteful number, since it uses less digits than its factorization.

102611088107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5387.

The product of its (nonzero) digits is 5376, while the sum is 35.

The spelling of 102611088107 in words is "one hundred two billion, six hundred eleven million, eighty-eight thousand, one hundred seven".

Divisors: 1 11 29 79 319 869 941 2291 4327 10351 25201 27289 47597 74339 125483 300179 341833 817729 1380313 2155831 3760163 4071707 9913157 23714141 44788777 109044727 118079503 321664853 1298874533 3538313383 9328280737 102611088107