Search a number
-
+
102131748 = 22322836993
BaseRepresentation
bin1100001011001…
…10100000100100
321010011211102100
412011212200210
5202121203443
614045012100
72350051125
oct605464044
9233154370
10102131748
1152718104
122a254030
131820bbb4
14d7c804c
158e763d3
hex6166824

102131748 has 18 divisors (see below), whose sum is σ = 258166454. Its totient is φ = 34043904.

The previous prime is 102131747. The next prime is 102131759. The reversal of 102131748 is 847131201.

It can be written as a sum of positive squares in only one way, i.e., 80676324 + 21455424 = 8982^2 + 4632^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is not an unprimeable number, because it can be changed into a prime (102131747) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1418461 + ... + 1418532.

Almost surely, 2102131748 is an apocalyptic number.

102131748 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

102131748 is an abundant number, since it is smaller than the sum of its proper divisors (156034706).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102131748 is a wasteful number, since it uses less digits than its factorization.

102131748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2837003 (or 2836998 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 102131748 is about 10106.0253314545. The cubic root of 102131748 is about 467.4339529408.

Adding to 102131748 its reverse (847131201), we get a palindrome (949262949).

The spelling of 102131748 in words is "one hundred two million, one hundred thirty-one thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 2836993 5673986 8510979 11347972 17021958 25532937 34043916 51065874 102131748