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130023124 = 227112914557
BaseRepresentation
bin1111011111111…
…11111011010100
3100001122212012021
413233333323110
5231241214444
620522502524
73136115110
oct757777324
9301585167
10130023124
1167438330
1237664a44
1320c2617a
14133a8740
15b635584
hex7bffed4

130023124 has 48 divisors (see below), whose sum is σ = 293489280. Its totient is φ = 48908160.

The previous prime is 130023121. The next prime is 130023139. The reversal of 130023124 is 421320031.

It is a happy number.

130023124 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 130023098 and 130023107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130023121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1654 + ... + 16210.

It is an arithmetic number, because the mean of its divisors is an integer number (6114360).

Almost surely, 2130023124 is an apocalyptic number.

130023124 is a gapful number since it is divisible by the number (14) 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 130023124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146744640).

130023124 is an abundant number, since it is smaller than the sum of its proper divisors (163466156).

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

130023124 is a wasteful number, since it uses less digits than its factorization.

130023124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14608 (or 14606 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 130023124 is about 11402.7682603831. The cubic root of 130023124 is about 506.6097364089.

Adding to 130023124 its reverse (421320031), we get a palindrome (551343155).

The spelling of 130023124 in words is "one hundred thirty million, twenty-three thousand, one hundred twenty-four".

Divisors: 1 2 4 7 11 14 22 28 29 44 58 77 116 154 203 308 319 406 638 812 1276 2233 4466 8932 14557 29114 58228 101899 160127 203798 320254 407596 422153 640508 844306 1120889 1688612 2241778 2955071 4483556 4643683 5910142 9287366 11820284 18574732 32505781 65011562 130023124