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122332331 = 11223113389
BaseRepresentation
bin1110100101010…
…10010010101011
322112012010102002
413102222102223
5222304113311
620050001215
73013544012
oct722522253
9275163362
10122332331
1163065100
1234b7620b
131c4626c4
1412365a79
15ab1693b
hex74aa4ab

122332331 has 24 divisors (see below), whose sum is σ = 141916320. Its totient is φ = 105163520.

The previous prime is 122332319. The next prime is 122332337. The reversal of 122332331 is 133233221.

It is a de Polignac number, because none of the positive numbers 2k-122332331 is a prime.

It is a super-2 number, since 2×1223323312 = 29930398415787122, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122332337) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 314285 + ... + 314673.

It is an arithmetic number, because the mean of its divisors is an integer number (5913180).

Almost surely, 2122332331 is an apocalyptic number.

122332331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

122332331 is a deficient number, since it is larger than the sum of its proper divisors (19583989).

122332331 is a wasteful number, since it uses less digits than its factorization.

122332331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 536 counting only the distinct ones).

The product of its digits is 648, while the sum is 20.

The square root of 122332331 is about 11060.3947036261. The cubic root of 122332331 is about 496.4175007027.

Adding to 122332331 its reverse (133233221), we get a palindrome (255565552).

The spelling of 122332331 in words is "one hundred twenty-two million, three hundred thirty-two thousand, three hundred thirty-one".

Divisors: 1 11 23 113 121 253 389 1243 2599 2783 4279 8947 13673 28589 43957 47069 98417 314479 483527 1011011 1082587 5318797 11121121 122332331