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15120330112 = 271943191757
BaseRepresentation
bin11100001010011110…
…11110110110000000
31110000202120100120101
432011033132312000
5221431301030422
610540213052144
71043460454036
oct160517366600
943022510511
1015120330112
11645a039898
122b1b927054
13156c75a2c4
14a361c8556
155d7682c27
hex3853ded80

15120330112 has 128 divisors (see below), whose sum is σ = 32658278400. Its totient is φ = 6949877760.

The previous prime is 15120330107. The next prime is 15120330151. The reversal of 15120330112 is 21103302151.

15120330112 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 (128).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 15120330112.

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 15 ways as a sum of consecutive naturals, for example, 19973638 + ... + 19974394.

It is an arithmetic number, because the mean of its divisors is an integer number (255142800).

Almost surely, 215120330112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15120330112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16329139200).

15120330112 is an abundant number, since it is smaller than the sum of its proper divisors (17537948288).

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

15120330112 is a wasteful number, since it uses less digits than its factorization.

15120330112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

Adding to 15120330112 its reverse (21103302151), we get a palindrome (36223632263).

The spelling of 15120330112 in words is "fifteen billion, one hundred twenty million, three hundred thirty thousand, one hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 43 64 76 86 128 152 172 191 304 344 382 608 688 757 764 817 1216 1376 1514 1528 1634 2432 2752 3028 3056 3268 3629 5504 6056 6112 6536 7258 8213 12112 12224 13072 14383 14516 16426 24224 24448 26144 28766 29032 32551 32852 48448 52288 57532 58064 65102 65704 96896 104576 115064 116128 130204 131408 144587 156047 230128 232256 260408 262816 289174 312094 460256 464512 520816 525632 578348 618469 624188 920512 1041632 1051264 1156696 1236938 1248376 1841024 2083264 2313392 2473876 2496752 2747153 4166528 4626784 4947752 4993504 5494306 6217241 9253568 9895504 9987008 10988612 12434482 18507136 19791008 19974016 21977224 24868964 39582016 43954448 49737928 79164032 87908896 99475856 118127579 175817792 198951712 236255158 351635584 397903424 472510316 795806848 945020632 1890041264 3780082528 7560165056 15120330112