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122040331 = 7217239613
BaseRepresentation
bin1110100011000…
…11000000001011
322111122021212021
413101203000023
5222220242311
620035425311
73011216500
oct721430013
9274567767
10122040331
1162985786
1234a55237
131c38c81a
14122cb4a7
15aaaa171
hex746300b

122040331 has 24 divisors (see below), whose sum is σ = 151191360. Its totient is φ = 97880832.

The previous prime is 122040329. The next prime is 122040337. The reversal of 122040331 is 133040221.

It is a happy number.

It is not a de Polignac number, because 122040331 - 21 = 122040329 is a prime.

It is a super-2 number, since 2×1220403312 = 29787684781179122, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122040337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 198781 + ... + 199393.

It is an arithmetic number, because the mean of its divisors is an integer number (6299640).

Almost surely, 2122040331 is an apocalyptic number.

122040331 is a deficient number, since it is larger than the sum of its proper divisors (29151029).

122040331 is a wasteful number, since it uses less digits than its factorization.

122040331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 122040331 is about 11047.1865649133. The cubic root of 122040331 is about 496.0222130075.

Adding to 122040331 its reverse (133040221), we get a palindrome (255080552).

The spelling of 122040331 in words is "one hundred twenty-two million, forty thousand, three hundred thirty-one".

Divisors: 1 7 17 49 119 239 613 833 1673 4063 4291 10421 11711 28441 30037 72947 146507 199087 510629 1025549 2490619 7178843 17434333 122040331