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112122202112 = 211223383641
BaseRepresentation
bin110100001101100000…
…0010000100000000000
3101201101222201000101022
41220123000100200000
53314111240431422
6123301435525012
711046330664424
oct1503300204000
9351358630338
10112122202112
1143607072a58
12198915b9768
13a75b08c5bb
1455d8dacb84
152db3598342
hex1a1b010800

112122202112 has 96 divisors (see below), whose sum is σ = 226135203840. Its totient is φ = 55577149440.

The previous prime is 112122202109. The next prime is 112122202117. The reversal of 112122202112 is 211202221211.

It is not an unprimeable number, because it can be changed into a prime (112122202117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 174917312 + ... + 174917952.

It is an arithmetic number, because the mean of its divisors is an integer number (2355575040).

Almost surely, 2112122202112 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 112122202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113067601920).

112122202112 is an abundant number, since it is smaller than the sum of its proper divisors (114013001728).

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

112122202112 is an equidigital number, since it uses as much as digits as its factorization.

112122202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1269 (or 1249 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 112122202112 its reverse (211202221211), we get a palindrome (323324423323).

The spelling of 112122202112 in words is "one hundred twelve billion, one hundred twenty-two million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 223 256 383 446 512 641 766 892 1024 1282 1532 1784 2048 2564 3064 3568 5128 6128 7136 10256 12256 14272 20512 24512 28544 41024 49024 57088 82048 85409 98048 114176 142943 164096 170818 196096 228352 245503 285886 328192 341636 392192 456704 491006 571772 656384 683272 784384 982012 1143544 1312768 1366544 1964024 2287088 2733088 3928048 4574176 5466176 7856096 9148352 10932352 15712192 18296704 21864704 31424384 36593408 43729408 54747169 62848768 73186816 87458816 109494338 125697536 146373632 174917632 218988676 251395072 292747264 437977352 502790144 875954704 1751909408 3503818816 7007637632 14015275264 28030550528 56061101056 112122202112