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122331144 = 23313392087
BaseRepresentation
bin1110100101010…
…10000000001000
322112012001210010
413102222000020
5222304044034
620045551520
73013540365
oct722520010
9275161703
10122331144
1163064221
1234b755a0
131c461cc0
141236546c
15ab163e9
hex74aa008

122331144 has 32 divisors (see below), whose sum is σ = 329353920. Its totient is φ = 37640256.

The previous prime is 122331119. The next prime is 122331149. The reversal of 122331144 is 441133221.

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

It is a self number, because there is not a number n which added to its sum of digits gives 122331144.

It is not an unprimeable number, because it can be changed into a prime (122331149) 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, 195732 + ... + 196355.

It is an arithmetic number, because the mean of its divisors is an integer number (10292310).

Almost surely, 2122331144 is an apocalyptic number.

It is an amenable number.

122331144 is an abundant number, since it is smaller than the sum of its proper divisors (207022776).

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

122331144 is a wasteful number, since it uses less digits than its factorization.

122331144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392109 (or 392105 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 122331144 is about 11060.3410435664. The cubic root of 122331144 is about 496.4158951052.

Adding to 122331144 its reverse (441133221), we get a palindrome (563464365).

The spelling of 122331144 in words is "one hundred twenty-two million, three hundred thirty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 392087 784174 1176261 1568348 2352522 3136696 4705044 5097131 9410088 10194262 15291393 20388524 30582786 40777048 61165572 122331144