Search a number
-
+
102131432 = 2313275541
BaseRepresentation
bin1100001011001…
…10011011101000
321010011210222122
412011212123220
5202121201212
614045010412
72350050164
oct605463350
9233153878
10102131432
1152717947
122a253a08
131820ba00
14d7c7ca4
158e76272
hex61666e8

102131432 has 24 divisors (see below), whose sum is σ = 207362790. Its totient is φ = 47136960.

The previous prime is 102131429. The next prime is 102131443. The reversal of 102131432 is 234131201.

It can be written as a sum of positive squares in 3 ways, for example, as 51351556 + 50779876 = 7166^2 + 7126^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 102131432.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36419 + ... + 39122.

Almost surely, 2102131432 is an apocalyptic number.

It is an amenable number.

102131432 is an abundant number, since it is smaller than the sum of its proper divisors (105231358).

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

102131432 is a wasteful number, since it uses less digits than its factorization.

102131432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75573 (or 75556 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 102131432 is about 10106.0096972049. The cubic root of 102131432 is about 467.4334708535.

Adding to 102131432 its reverse (234131201), we get a palindrome (336262633).

The spelling of 102131432 in words is "one hundred two million, one hundred thirty-one thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 26 52 104 169 338 676 1352 75541 151082 302164 604328 982033 1964066 3928132 7856264 12766429 25532858 51065716 102131432