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10120971 = 372916619
BaseRepresentation
bin100110100110…
…111100001011
3201001012100210
4212212330023
510042332341
61000532203
7152012130
oct46467413
921035323
1010120971
115793043
123481063
132134953
1414b6587
15d4dc16
hex9a6f0b

10120971 has 16 divisors (see below), whose sum is σ = 15955200. Its totient is φ = 5583648.

The previous prime is 10120969. The next prime is 10120993. The reversal of 10120971 is 17902101.

It is not a de Polignac number, because 10120971 - 21 = 10120969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (10120921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7701 + ... + 8918.

It is an arithmetic number, because the mean of its divisors is an integer number (997200).

Almost surely, 210120971 is an apocalyptic number.

10120971 is a deficient number, since it is larger than the sum of its proper divisors (5834229).

10120971 is a wasteful number, since it uses less digits than its factorization.

10120971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16658.

The product of its (nonzero) digits is 126, while the sum is 21.

The square root of 10120971 is about 3181.3473560742. The cubic root of 10120971 is about 216.3087363143.

The spelling of 10120971 in words is "ten million, one hundred twenty thousand, nine hundred seventy-one".

Divisors: 1 3 7 21 29 87 203 609 16619 49857 116333 348999 481951 1445853 3373657 10120971