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122032031 = 11374171103
BaseRepresentation
bin1110100011000…
…00111110011111
322111121212110212
413101200332133
5222220011111
620035323035
73011153342
oct721407637
9274555425
10122032031
116297a520
1234a5047b
131c388b04
14122c8459
15aaa798b
hex7460f9f

122032031 has 32 divisors (see below), whose sum is σ = 143410176. Its totient is φ = 102816000.

The previous prime is 122032021. The next prime is 122032049. The reversal of 122032031 is 130230221.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122032031 is a prime.

It is a super-2 number, since 2×1220320312 = 29783633179969922, which contains 22 as substring.

It is a Duffinian number.

It is a zygodrome in base 5.

It is a junction number, because it is equal to n+sod(n) for n = 122031997 and 122032015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122032021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1184726 + ... + 1184828.

It is an arithmetic number, because the mean of its divisors is an integer number (4481568).

Almost surely, 2122032031 is an apocalyptic number.

122032031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

122032031 is a deficient number, since it is larger than the sum of its proper divisors (21378145).

122032031 is a wasteful number, since it uses less digits than its factorization.

122032031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263.

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 122032031 is about 11046.8108972680. The cubic root of 122032031 is about 496.0109678788.

Adding to 122032031 its reverse (130230221), we get a palindrome (252262252).

The spelling of 122032031 in words is "one hundred twenty-two million, thirty-two thousand, thirty-one".

Divisors: 1 11 37 41 71 103 407 451 781 1133 1517 2627 2911 3811 4223 7313 16687 28897 32021 41921 46453 80443 107707 156251 270581 299833 1184777 1718761 2976391 3298163 11093821 122032031