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122400431 = 3115492549
BaseRepresentation
bin1110100101110…
…10111010101111
322112022120211022
413102322322233
5222313303211
620051244355
73014246366
oct722727257
9275276738
10122400431
116310128a
1234ba96bb
131c4876ba
14123827dd
15ab2bbdb
hex74baeaf

122400431 has 8 divisors (see below), whose sum is σ = 126480000. Its totient is φ = 118329120.

The previous prime is 122400353. The next prime is 122400437. The reversal of 122400431 is 134004221.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122400431 is a prime.

It is a super-2 number, since 2×1224004312 = 29963731017971522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122400437) 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, 46745 + ... + 49293.

It is an arithmetic number, because the mean of its divisors is an integer number (15810000).

Almost surely, 2122400431 is an apocalyptic number.

122400431 is a deficient number, since it is larger than the sum of its proper divisors (4079569).

122400431 is a wasteful number, since it uses less digits than its factorization.

122400431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4129.

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 122400431 is about 11063.4728272817. The cubic root of 122400431 is about 496.5095988979.

Adding to 122400431 its reverse (134004221), we get a palindrome (256404652).

The spelling of 122400431 in words is "one hundred twenty-two million, four hundred thousand, four hundred thirty-one".

Divisors: 1 31 1549 2549 48019 79019 3948401 122400431