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131120220 = 2235711101281
BaseRepresentation
bin1111101000010…
…11110001011100
3100010201121010110
413310023301130
5232031321340
621002210020
73151334460
oct764136134
9303647113
10131120220
1168017620
1237ab3910
132121b63a
14135b24a0
15b7a0680
hex7d0bc5c

131120220 has 192 divisors, whose sum is σ = 463905792. Its totient is φ = 26880000.

The previous prime is 131120219. The next prime is 131120233. The reversal of 131120220 is 22021131.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 131120196 and 131120205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 466480 + ... + 466760.

It is an arithmetic number, because the mean of its divisors is an integer number (2416176).

Almost surely, 2131120220 is an apocalyptic number.

131120220 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 131120220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231952896).

131120220 is an abundant number, since it is smaller than the sum of its proper divisors (332785572).

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

131120220 is a wasteful number, since it uses less digits than its factorization.

131120220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 131120220 is about 11450.7737729815. The cubic root of 131120220 is about 508.0306210488.

Adding to 131120220 its reverse (22021131), we get a palindrome (153141351).

The spelling of 131120220 in words is "one hundred thirty-one million, one hundred twenty thousand, two hundred twenty".