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12113021034 = 2323182726249
BaseRepresentation
bin10110100011111111…
…00000100001101010
31011021011210020001200
423101333200201222
5144301413133114
65321544025030
7606112660062
oct132177404152
934234706050
1012113021034
115156536a94
122420762176
1311b06b6c8a
1482ca3c3a2
154ad648409
hex2d1fe086a

12113021034 has 48 divisors (see below), whose sum is σ = 27125280000. Its totient is φ = 3902552640.

The previous prime is 12113021029. The next prime is 12113021059. The reversal of 12113021034 is 43012031121.

12113021034 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12113020998 and 12113021016.

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 23 ways as a sum of consecutive naturals, for example, 448342 + ... + 474590.

It is an arithmetic number, because the mean of its divisors is an integer number (565110000).

Almost surely, 212113021034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12113021034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13562640000).

12113021034 is an abundant number, since it is smaller than the sum of its proper divisors (15012258966).

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

12113021034 is a wasteful number, since it uses less digits than its factorization.

12113021034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27115 (or 27112 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12113021034 its reverse (43012031121), we get a palindrome (55125052155).

The spelling of 12113021034 in words is "twelve billion, one hundred thirteen million, twenty-one thousand, thirty-four".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 558 827 1654 2481 4962 7443 14886 25637 26249 51274 52498 76911 78747 153822 157494 230733 236241 461466 472482 813719 1627438 2441157 4882314 7323471 14646942 21707923 43415846 65123769 130247538 195371307 390742614 672945613 1345891226 2018836839 4037673678 6056510517 12113021034