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131124120 = 2335532389
BaseRepresentation
bin1111101000011…
…00101110011000
3100010201210110220
413310030232120
5232031432440
621002240040
73151352031
oct764145630
9303653426
10131124120
116801a546
1237ab6020
132122034a
14135b3a88
15b7a18d0
hex7d0cb98

131124120 has 96 divisors (see below), whose sum is σ = 401965200. Its totient is φ = 34218496.

The previous prime is 131124107. The next prime is 131124143. The reversal of 131124120 is 21421131.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 131124120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 336886 + ... + 337274.

Almost surely, 2131124120 is an apocalyptic number.

131124120 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 131124120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200982600).

131124120 is an abundant number, since it is smaller than the sum of its proper divisors (270841080).

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

131124120 is a wasteful number, since it uses less digits than its factorization.

131124120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 131124120 is about 11450.9440658838. The cubic root of 131124120 is about 508.0356579017.

Adding to 131124120 its reverse (21421131), we get a palindrome (152545251).

It can be divided in two parts, 131 and 124120, that added together give a triangular number (124251 = T498).

The spelling of 131124120 in words is "one hundred thirty-one million, one hundred twenty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 120 159 212 265 318 389 424 530 636 778 795 1060 1167 1272 1556 1590 1945 2120 2334 2809 3112 3180 3890 4668 5618 5835 6360 7780 8427 9336 11236 11670 14045 15560 16854 20617 22472 23340 28090 33708 41234 42135 46680 56180 61851 67416 82468 84270 103085 112360 123702 164936 168540 206170 247404 309255 337080 412340 494808 618510 824680 1092701 1237020 2185402 2474040 3278103 4370804 5463505 6556206 8741608 10927010 13112412 16390515 21854020 26224824 32781030 43708040 65562060 131124120