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112123222232032 = 25115318713321169
BaseRepresentation
bin11001011111100110111000…
…110101010000101111100000
3112200222212122010202120221201
4121133212320311100233200
5104144011324342411112
61034244410332530544
732421430653643534
oct3137467065205740
9480885563676851
10112123222232032
11327a92119a3780
12106aa294320a54
134a74236473a5b
141d98b15a6bbc4
15ce68b04d6257
hex65f9b8d50be0

112123222232032 has 96 divisors (see below), whose sum is σ = 245367564513120. Its totient is φ = 50000667525120.

The previous prime is 112123222232011. The next prime is 112123222232033. The reversal of 112123222232032 is 230232222321211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112123222232033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 348949144 + ... + 349270312.

It is an arithmetic number, because the mean of its divisors is an integer number (2555912130345).

Almost surely, 2112123222232032 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 112123222232032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122683782256560).

112123222232032 is an abundant number, since it is smaller than the sum of its proper divisors (133244342281088).

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

112123222232032 is a wasteful number, since it uses less digits than its factorization.

112123222232032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339956 (or 339948 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 112123222232032 its reverse (230232222321211), we get a palindrome (342355444553243).

The spelling of 112123222232032 in words is "one hundred twelve trillion, one hundred twenty-three billion, two hundred twenty-two million, two hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 53 88 106 176 212 352 424 583 848 1166 1696 2332 4664 9328 18656 18713 37426 74852 149704 205843 299408 321169 411686 598816 642338 823372 991789 1284676 1646744 1983578 2569352 3293488 3532859 3967156 5138704 6586976 7065718 7934312 10277408 10909679 14131436 15868624 17021957 21819358 28262872 31737248 34043914 43638716 56525744 68087828 87277432 113051488 136175656 174554864 187241527 272351312 349109728 374483054 544702624 748966108 1497932216 2995864432 5991728864 6010035497 12020070994 24040141988 48080283976 66110390467 96160567952 132220780934 192321135904 264441561868 318531881341 528883123736 637063762682 1057766247472 1274127525364 2115532494944 2548255050728 3503850694751 5096510101456 7007701389502 10193020202912 14015402779004 28030805558008 56061611116016 112123222232032