Search a number
-
+
131069120 = 2657213643
BaseRepresentation
bin1111100111111…
…11010011000000
3100010122000000212
413303333103000
5232023202440
621001133252
73151032500
oct763772300
9303560025
10131069120
1167a92196
1237a8a228
13212012c0
141359ba00
15b790465
hex7cff4c0

131069120 has 168 divisors, whose sum is σ = 391600944. Its totient is φ = 41416704.

The previous prime is 131069093. The next prime is 131069131. The reversal of 131069120 is 21960131.

It is a happy number.

It is a super-2 number, since 2×1310691202 = 34358228435148800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 203519 + ... + 204161.

It is an arithmetic number, because the mean of its divisors is an integer number (2330958).

Almost surely, 2131069120 is an apocalyptic number.

131069120 is a gapful number since it is divisible by the number (10) 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 131069120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195800472).

131069120 is an abundant number, since it is smaller than the sum of its proper divisors (260531824).

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

131069120 is a wasteful number, since it uses less digits than its factorization.

131069120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 23.

The square root of 131069120 is about 11448.5422652843. The cubic root of 131069120 is about 507.9646161314.

The spelling of 131069120 in words is "one hundred thirty-one million, sixty-nine thousand, one hundred twenty".