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131123120 = 24510315913
BaseRepresentation
bin1111101000011…
…00011110110000
3100010201202002212
413310030132300
5232031414440
621002231252
73151346102
oct764143660
9303652085
10131123120
1168019817
1237ab5528
132121ca5b
14135b3572
15b7a1465
hex7d0c7b0

131123120 has 40 divisors (see below), whose sum is σ = 307840416. Its totient is φ = 51936768.

The previous prime is 131123107. The next prime is 131123131. The reversal of 131123120 is 21321131.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 131123095 and 131123104.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 284 + ... + 16196.

Almost surely, 2131123120 is an apocalyptic number.

131123120 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 131123120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153920208).

131123120 is an abundant number, since it is smaller than the sum of its proper divisors (176717296).

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

131123120 is a wasteful number, since it uses less digits than its factorization.

131123120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16029 (or 16023 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 131123120 is about 11450.9004012785. The cubic root of 131123120 is about 508.0343664104.

Adding to 131123120 its reverse (21321131), we get a palindrome (152444251).

The spelling of 131123120 in words is "one hundred thirty-one million, one hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 103 206 412 515 824 1030 1648 2060 4120 8240 15913 31826 63652 79565 127304 159130 254608 318260 636520 1273040 1639039 3278078 6556156 8195195 13112312 16390390 26224624 32780780 65561560 131123120