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131214220 = 22553123787
BaseRepresentation
bin1111101001000…
…10101110001100
3100010220101001221
413310202232030
5232042323340
621004213124
73152205514
oct764425614
9303811057
10131214220
1168081205
1237b3a1a4
1321252367
14135d8844
15b7bd44a
hex7d22b8c

131214220 has 24 divisors (see below), whose sum is σ = 280751184. Its totient is φ = 51494976.

The previous prime is 131214217. The next prime is 131214221. The reversal of 131214220 is 22412131.

It is a junction number, because it is equal to n+sod(n) for n = 131214194 and 131214203.

It is not an unprimeable number, because it can be changed into a prime (131214221) 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, 60834 + ... + 62953.

It is an arithmetic number, because the mean of its divisors is an integer number (11697966).

Almost surely, 2131214220 is an apocalyptic number.

131214220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131214220 is an abundant number, since it is smaller than the sum of its proper divisors (149536964).

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

131214220 is a wasteful number, since it uses less digits than its factorization.

131214220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123849 (or 123847 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 131214220 is about 11454.8775637280. The cubic root of 131214220 is about 508.1519943226.

Adding to 131214220 its reverse (22412131), we get a palindrome (153626351).

The spelling of 131214220 in words is "one hundred thirty-one million, two hundred fourteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 53 106 212 265 530 1060 123787 247574 495148 618935 1237870 2475740 6560711 13121422 26242844 32803555 65607110 131214220