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12103110320 = 245740153897
BaseRepresentation
bin10110100010110011…
…01100111010110000
31011020111010201010012
423101121230322300
5144241344012240
65320551354052
7605632511630
oct132131547260
934214121105
1012103110320
115150987a14
122419382928
1311ab626c52
1482b5bc6c0
154ac83bb65
hex2d166ceb0

12103110320 has 80 divisors (see below), whose sum is σ = 32240490048. Its totient is φ = 4139212800.

The previous prime is 12103110311. The next prime is 12103110359. The reversal of 12103110320 is 2301130121.

12103110320 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 (80).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 12103110295 and 12103110304.

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, 197612 + ... + 251508.

Almost surely, 212103110320 is an apocalyptic number.

12103110320 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 12103110320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16120245024).

12103110320 is an abundant number, since it is smaller than the sum of its proper divisors (20137379728).

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

12103110320 is a wasteful number, since it uses less digits than its factorization.

12103110320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54318 (or 54312 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 12103110320 its reverse (2301130121), we get a palindrome (14404240441).

The spelling of 12103110320 in words is "twelve billion, one hundred three million, one hundred ten thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 401 560 802 1604 2005 2807 3208 4010 5614 6416 8020 11228 14035 16040 22456 28070 32080 44912 53897 56140 107794 112280 215588 224560 269485 377279 431176 538970 754558 862352 1077940 1509116 1886395 2155880 3018232 3772790 4311760 6036464 7545580 15091160 21612697 30182320 43225394 86450788 108063485 151288879 172901576 216126970 302577758 345803152 432253940 605155516 756444395 864507880 1210311032 1512888790 1729015760 2420622064 3025777580 6051555160 12103110320