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122420331 = 32111976277
BaseRepresentation
bin1110100101111…
…11110001101011
322112100121010100
413102333301223
5222314422311
620051520443
73014361405
oct722776153
9275317110
10122420331
1163115230
1234bb9123
131c493787
1412389b75
15ab32a56
hex74bfc6b

122420331 has 24 divisors (see below), whose sum is σ = 193914864. Its totient is φ = 73805760.

The previous prime is 122420321. The next prime is 122420357. The reversal of 122420331 is 133024221.

It is not a de Polignac number, because 122420331 - 27 = 122420203 is a prime.

It is a super-2 number, since 2×1224203312 = 29973474884299122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122420321) 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, 16365 + ... + 22641.

It is an arithmetic number, because the mean of its divisors is an integer number (8079786).

Almost surely, 2122420331 is an apocalyptic number.

122420331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

122420331 is a deficient number, since it is larger than the sum of its proper divisors (71494533).

122420331 is a wasteful number, since it uses less digits than its factorization.

122420331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6491 (or 6488 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 122420331 is about 11064.3721466697. The cubic root of 122420331 is about 496.5365051365.

Adding to 122420331 its reverse (133024221), we get a palindrome (255444552).

The spelling of 122420331 in words is "one hundred twenty-two million, four hundred twenty thousand, three hundred thirty-one".

Divisors: 1 3 9 11 33 99 197 591 1773 2167 6277 6501 18831 19503 56493 69047 207141 621423 1236569 3709707 11129121 13602259 40806777 122420331