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124131020 = 2251329101163
BaseRepresentation
bin1110110011000…
…01011011001100
322122120111202012
413121201123030
5223234143040
620152320352
73035045006
oct731413314
9278514665
10124131020
1164083522
12356a30b8
131c942310
14126b3376
15ad6e865
hex76616cc

124131020 has 96 divisors (see below), whose sum is σ = 295081920. Its totient is φ = 43545600.

The previous prime is 124131019. The next prime is 124131083. The reversal of 124131020 is 20131421.

It is a junction number, because it is equal to n+sod(n) for n = 124130986 and 124131004.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 761459 + ... + 761621.

It is an arithmetic number, because the mean of its divisors is an integer number (3073770).

Almost surely, 2124131020 is an apocalyptic number.

124131020 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 124131020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147540960).

124131020 is an abundant number, since it is smaller than the sum of its proper divisors (170950900).

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

124131020 is a wasteful number, since it uses less digits than its factorization.

124131020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 124131020 is about 11141.4101441424. The cubic root of 124131020 is about 498.8386646890.

Adding to 124131020 its reverse (20131421), we get a palindrome (144262441).

The spelling of 124131020 in words is "one hundred twenty-four million, one hundred thirty-one thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 29 52 58 65 101 116 130 145 163 202 260 290 326 377 404 505 580 652 754 815 1010 1313 1508 1630 1885 2020 2119 2626 2929 3260 3770 4238 4727 5252 5858 6565 7540 8476 9454 10595 11716 13130 14645 16463 18908 21190 23635 26260 29290 32926 38077 42380 47270 58580 61451 65852 76154 82315 94540 122902 152308 164630 190385 214019 245804 307255 329260 380770 428038 477427 614510 761540 856076 954854 1070095 1229020 1909708 2140190 2387135 4280380 4774270 6206551 9548540 12413102 24826204 31032755 62065510 124131020