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131120424 = 23332326393
BaseRepresentation
bin1111101000010…
…11110100101000
3100010201121102000
413310023310220
5232031323144
621002211000
73151335201
oct764136450
9303647360
10131120424
1168017796
1237ab3a60
132121b766
14135b25a8
15b7a0769
hex7d0bd28

131120424 has 64 divisors (see below), whose sum is σ = 380073600. Its totient is φ = 41804928.

The previous prime is 131120417. The next prime is 131120453. The reversal of 131120424 is 424021131.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 131120397 and 131120406.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8229 + ... + 18164.

It is an arithmetic number, because the mean of its divisors is an integer number (5938650).

Almost surely, 2131120424 is an apocalyptic number.

It is an amenable number.

131120424 is an abundant number, since it is smaller than the sum of its proper divisors (248953176).

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

131120424 is a wasteful number, since it uses less digits than its factorization.

131120424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26431 (or 26421 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 131120424 is about 11450.7826806730. The cubic root of 131120424 is about 508.0308845174.

Adding to 131120424 its reverse (424021131), we get a palindrome (555141555).

The spelling of 131120424 in words is "one hundred thirty-one million, one hundred twenty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 138 184 207 216 276 414 552 621 828 1242 1656 2484 4968 26393 52786 79179 105572 158358 211144 237537 316716 475074 607039 633432 712611 950148 1214078 1425222 1821117 1900296 2428156 2850444 3642234 4856312 5463351 5700888 7284468 10926702 14568936 16390053 21853404 32780106 43706808 65560212 131120424