Search a number
-
+
112320312312 = 23313568363347
BaseRepresentation
bin110100010011011001…
…1111111001111111000
3101201220210111001111010
41220212303333033320
53320012444443222
6123333234033520
711054254621245
oct1504663771770
9351823431433
10112320312312
11436a898509a
1219927a188a0
13a790134680
14561741c5cc
152dc5b7c80c
hex1a26cff3f8

112320312312 has 64 divisors (see below), whose sum is σ = 302458826880. Its totient is φ = 34553469312.

The previous prime is 112320312263. The next prime is 112320312319. The reversal of 112320312312 is 213213023211.

112320312312 is a modest number, since divided by 312312 gives 112320 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112320312319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1741423 + ... + 1804769.

It is an arithmetic number, because the mean of its divisors is an integer number (4725919170).

Almost surely, 2112320312312 is an apocalyptic number.

112320312312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112320312312 is an abundant number, since it is smaller than the sum of its proper divisors (190138514568).

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

112320312312 is a wasteful number, since it uses less digits than its factorization.

112320312312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69052 (or 69048 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 112320312312 its reverse (213213023211), we get a palindrome (325533335523).

The spelling of 112320312312 in words is "one hundred twelve billion, three hundred twenty million, three hundred twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 5683 11366 17049 22732 34098 45464 63347 68196 73879 126694 136392 147758 190041 221637 253388 295516 380082 443274 506776 591032 760164 823511 886548 1520328 1647022 1773096 2470533 3294044 4941066 6588088 9882132 19764264 360001001 720002002 1080003003 1440004004 2160006006 2880008008 4320012012 4680013013 8640024024 9360026026 14040039039 18720052052 28080078078 37440104104 56160156156 112320312312