Search a number
-
+
131602228176 = 24347487119783
BaseRepresentation
bin111101010010000011…
…0101010001111010000
3110120200120210212111010
41322210012222033100
54124010132300201
6140242432250520
712336140324346
oct1724406521720
9416616725433
10131602228176
11508a3032951
12216093a0a40
13c543b0a843
1465261bd996
153653852bd6
hex1ea41aa3d0

131602228176 has 80 divisors (see below), whose sum is σ = 347921731584. Its totient is φ = 42845542272.

The previous prime is 131602228141. The next prime is 131602228213. The reversal of 131602228176 is 671822206131.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1038781 + ... + 1158563.

Almost surely, 2131602228176 is an apocalyptic number.

131602228176 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131602228176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173960865792).

131602228176 is an abundant number, since it is smaller than the sum of its proper divisors (216319503408).

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

131602228176 is a wasteful number, since it uses less digits than its factorization.

131602228176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120328 (or 120322 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The spelling of 131602228176 in words is "one hundred thirty-one billion, six hundred two million, two hundred twenty-eight thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 141 188 282 376 487 564 752 974 1128 1461 1948 2256 2922 3896 5844 7792 11688 22889 23376 45778 68667 91556 119783 137334 183112 239566 274668 359349 366224 479132 549336 718698 958264 1098672 1437396 1916528 2874792 5629801 5749584 11259602 16889403 22519204 33778806 45038408 58334321 67557612 90076816 116668642 135115224 175002963 233337284 270230448 350005926 466674568 700011852 933349136 1400023704 2741713087 2800047408 5483426174 8225139261 10966852348 16450278522 21933704696 32900557044 43867409392 65801114088 131602228176