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10713321 = 3219314347
BaseRepresentation
bin101000110111…
…100011101001
3202011021220200
4220313203221
510220311241
61021342413
7160030113
oct50674351
922137820
1010713321
116058093
123707a09
1322b1458
1415cc3b3
15e194b6
hexa378e9

10713321 has 48 divisors (see below), whose sum is σ = 17571840. Its totient is φ = 6259680.

The previous prime is 10713319. The next prime is 10713343. The reversal of 10713321 is 12331701.

It is not a de Polignac number, because 10713321 - 21 = 10713319 is a prime.

It is a super-2 number, since 2×107133212 = 229550493698082, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10713294 and 10713303.

It is not an unprimeable number, because it can be changed into a prime (10713301) 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 47 ways as a sum of consecutive naturals, for example, 227920 + ... + 227966.

It is an arithmetic number, because the mean of its divisors is an integer number (366080).

Almost surely, 210713321 is an apocalyptic number.

It is an amenable number.

10713321 is a deficient number, since it is larger than the sum of its proper divisors (6858519).

10713321 is a wasteful number, since it uses less digits than its factorization.

10713321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 143 counting only the distinct ones).

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

The square root of 10713321 is about 3273.1209876813. The cubic root of 10713321 is about 220.4489523491.

The spelling of 10713321 in words is "ten million, seven hundred thirteen thousand, three hundred twenty-one".

Divisors: 1 3 9 19 31 43 47 57 93 129 141 171 279 387 423 589 817 893 1333 1457 1767 2021 2451 2679 3999 4371 5301 6063 7353 8037 11997 13113 18189 25327 27683 38399 62651 75981 83049 115197 187953 227943 249147 345591 563859 1190369 3571107 10713321