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112202221122 = 2326233456729
BaseRepresentation
bin110100001111111000…
…1100000011001000010
3101201121120021101211100
41220133301200121002
53314242232033442
6123313414555230
711051322100125
oct1503761403102
9351546241740
10112202221122
1143648257472
12198b4368b16
13a771828524
14560587c3bc
152dba60284c
hex1a1fc60642

112202221122 has 12 divisors (see below), whose sum is σ = 243104812470. Its totient is φ = 37400740368.

The previous prime is 112202221009. The next prime is 112202221133. The reversal of 112202221122 is 221122202211.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 110883006081 + 1319215041 = 332991^2 + 36321^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 6233456729 = 112202221122 / (1 + 1 + 2 + 2 + 0 + 2 + 2 + 2 + 1 + 1 + 2 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 112202221095 and 112202221104.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3116728347 + ... + 3116728382.

Almost surely, 2112202221122 is an apocalyptic number.

112202221122 is an abundant number, since it is smaller than the sum of its proper divisors (130902591348).

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

112202221122 is a wasteful number, since it uses less digits than its factorization.

112202221122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6233456737 (or 6233456734 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 112202221122 its reverse (221122202211), we get a palindrome (333324423333).

The spelling of 112202221122 in words is "one hundred twelve billion, two hundred two million, two hundred twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 6233456729 12466913458 18700370187 37400740374 56101110561 112202221122