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15120251120 = 2451314538703
BaseRepresentation
bin11100001010011110…
…01011100011110000
31110000202102100012202
432011033023203300
5221431241013440
610540211242332
71043460004532
oct160517134360
943022370182
1015120251120
116459a95507
122b1b8a93a8
13156c730370
14a361a7852
155d7669615
hex3853cb8f0

15120251120 has 40 divisors (see below), whose sum is σ = 37858785216. Its totient is φ = 5582861568.

The previous prime is 15120251099. The next prime is 15120251149. The reversal of 15120251120 is 2115202151.

15120251120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×151202511202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 15120251092 and 15120251101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7268312 + ... + 7270391.

Almost surely, 215120251120 is an apocalyptic number.

15120251120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15120251120 is an abundant number, since it is smaller than the sum of its proper divisors (22738534096).

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

15120251120 is a wasteful number, since it uses less digits than its factorization.

15120251120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14538729 (or 14538723 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 20.

Adding to 15120251120 its reverse (2115202151), we get a palindrome (17235453271).

The spelling of 15120251120 in words is "fifteen billion, one hundred twenty million, two hundred fifty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 14538703 29077406 58154812 72693515 116309624 145387030 189003139 232619248 290774060 378006278 581548120 756012556 945015695 1163096240 1512025112 1890031390 3024050224 3780062780 7560125560 15120251120