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112342420036 = 227111093978429
BaseRepresentation
bin110100010100000100…
…0010100101001000100
3101201222100002020120201
41220220020110221010
53320034124420121
6123335343540244
711054643546250
oct1505010245104
9351870066521
10112342420036
114370a404a40
12199332ba684
13a7948a5272
14561a335260
152dc7a97e91
hex1a28214a44

112342420036 has 96 divisors (see below), whose sum is σ = 248011948800. Its totient is φ = 43253844480.

The previous prime is 112342420019. The next prime is 112342420109. The reversal of 112342420036 is 630024243211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 112342419986 and 112342420013.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13323870 + ... + 13332298.

It is an arithmetic number, because the mean of its divisors is an integer number (2583457800).

Almost surely, 2112342420036 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 112342420036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124005974400).

112342420036 is an abundant number, since it is smaller than the sum of its proper divisors (135669528764).

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

112342420036 is a wasteful number, since it uses less digits than its factorization.

112342420036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8957 (or 8955 counting only the distinct ones).

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

Adding to 112342420036 its reverse (630024243211), we get a palindrome (742366663247).

The spelling of 112342420036 in words is "one hundred twelve billion, three hundred forty-two million, four hundred twenty thousand, thirty-six".

Divisors: 1 2 4 7 11 14 22 28 44 77 109 154 218 308 397 436 763 794 1199 1526 1588 2398 2779 3052 4367 4796 5558 8393 8429 8734 11116 16786 16858 17468 30569 33572 33716 43273 59003 61138 86546 92719 118006 122276 173092 185438 236012 302911 370876 476003 605822 649033 918761 952006 1211644 1298066 1837522 1904012 2596132 3332021 3346313 3675044 6431327 6664042 6692626 10106371 12862654 13328084 13385252 20212742 23424191 25725308 36809443 40425484 46848382 70744597 73618886 93696764 141489194 147237772 257666101 282978388 364748117 515332202 729496234 1030664404 1458992468 2553236819 4012229287 5106473638 8024458574 10212947276 16048917148 28085605009 56171210018 112342420036