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122631144 = 2335109631
BaseRepresentation
bin1110100111100…
…11001111101000
322112202022022020
413103303033220
5222343144034
620100224440
73016230126
oct723631750
9275668266
10122631144
1163249659
123509b120
131c53870c
1412402916
15ab75249
hex74f33e8

122631144 has 16 divisors (see below), whose sum is σ = 306577920. Its totient is φ = 40877040.

The previous prime is 122631143. The next prime is 122631151. The reversal of 122631144 is 441136221.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 5109631 = 122631144 / (1 + 2 + 2 + 6 + 3 + 1 + 1 + 4 + 4).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (122631143) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2554792 + ... + 2554839.

It is an arithmetic number, because the mean of its divisors is an integer number (19161120).

Almost surely, 2122631144 is an apocalyptic number.

It is an amenable number.

122631144 is an abundant number, since it is smaller than the sum of its proper divisors (183946776).

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

122631144 is a wasteful number, since it uses less digits than its factorization.

122631144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5109640 (or 5109636 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 122631144 is about 11073.8947078252. The cubic root of 122631144 is about 496.8213606588.

Adding to 122631144 its reverse (441136221), we get a palindrome (563767365).

The spelling of 122631144 in words is "one hundred twenty-two million, six hundred thirty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 5109631 10219262 15328893 20438524 30657786 40877048 61315572 122631144