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10273131 = 3211103769
BaseRepresentation
bin100111001100…
…000101101011
3201022221002100
4213030011223
510112220011
61004104443
7153214551
oct47140553
921287070
1010273131
1158873a0
123535123
132188c9b
141515bd1
15d7dd56
hex9cc16b

10273131 has 12 divisors (see below), whose sum is σ = 16188120. Its totient is φ = 6226080.

The previous prime is 10273127. The next prime is 10273171. The reversal of 10273131 is 13137201.

10273131 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10273131 - 22 = 10273127 is a prime.

It is a super-2 number, since 2×102731312 = 211074441086322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10273171) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51786 + ... + 51983.

It is an arithmetic number, because the mean of its divisors is an integer number (1349010).

Almost surely, 210273131 is an apocalyptic number.

10273131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10273131 is a deficient number, since it is larger than the sum of its proper divisors (5914989).

10273131 is a wasteful number, since it uses less digits than its factorization.

10273131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103786 (or 103783 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 10273131 is about 3205.1725382575. The cubic root of 10273131 is about 217.3873534801.

It can be divided in two parts, 10273 and 131, that added together give a square (10404 = 1022).

The spelling of 10273131 in words is "ten million, two hundred seventy-three thousand, one hundred thirty-one".

Divisors: 1 3 9 11 33 99 103769 311307 933921 1141459 3424377 10273131