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15114124120 = 2352113734801
BaseRepresentation
bin11100001001101111…
…10011101101011000
31110000022220001112211
432010313303231120
5221423203432440
610535432044504
71043353635544
oct160467635530
943008801484
1015114124120
116456590177
122b19833734
13156b396614
14a35450a24
155d6d58eea
hex384df3b58

15114124120 has 64 divisors (see below), whose sum is σ = 34266687840. Its totient is φ = 5999616000.

The previous prime is 15114124099. The next prime is 15114124127. The reversal of 15114124120 is 2142141151.

It is a happy number.

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 15114124091 and 15114124100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15114124127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3145720 + ... + 3150520.

Almost surely, 215114124120 is an apocalyptic number.

15114124120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15114124120 is an abundant number, since it is smaller than the sum of its proper divisors (19152563720).

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

15114124120 is a wasteful number, since it uses less digits than its factorization.

15114124120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5396 (or 5392 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 22.

Adding to 15114124120 its reverse (2142141151), we get a palindrome (17256265271).

The spelling of 15114124120 in words is "fifteen billion, one hundred fourteen million, one hundred twenty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 211 373 422 746 844 1055 1492 1688 1865 2110 2984 3730 4220 4801 7460 8440 9602 14920 19204 24005 38408 48010 78703 96020 157406 192040 314812 393515 629624 787030 1013011 1574060 1790773 2026022 3148120 3581546 4052044 5065055 7163092 8104088 8953865 10130110 14326184 17907730 20260220 35815460 40520440 71630920 377853103 755706206 1511412412 1889265515 3022824824 3778531030 7557062060 15114124120