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131133220 = 22520693169
BaseRepresentation
bin1111101000011…
…10111100100100
3100010202020221221
413310032330210
5232032230340
621002350124
73151420411
oct764167444
9303666857
10131133220
1168026369
1237abb344
132122452a
14135b7108
15b7a444a
hex7d0ef24

131133220 has 24 divisors (see below), whose sum is σ = 275599800. Its totient is φ = 52411392.

The previous prime is 131133203. The next prime is 131133221. The reversal of 131133220 is 22331131.

It can be written as a sum of positive squares in 4 ways, for example, as 12236004 + 118897216 = 3498^2 + 10904^2 .

It is a junction number, because it is equal to n+sod(n) for n = 131133194 and 131133203.

It is not an unprimeable number, because it can be changed into a prime (131133221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39796 + ... + 42964.

It is an arithmetic number, because the mean of its divisors is an integer number (11483325).

Almost surely, 2131133220 is an apocalyptic number.

131133220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131133220 is an abundant number, since it is smaller than the sum of its proper divisors (144466580).

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

131133220 is a wasteful number, since it uses less digits than its factorization.

131133220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5247 (or 5245 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 131133220 is about 11451.3414061410. The cubic root of 131133220 is about 508.0474101700.

Adding to 131133220 its reverse (22331131), we get a palindrome (153464351).

The spelling of 131133220 in words is "one hundred thirty-one million, one hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 2069 3169 4138 6338 8276 10345 12676 15845 20690 31690 41380 63380 6556661 13113322 26226644 32783305 65566610 131133220