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103021893 = 3213267733
BaseRepresentation
bin1100010001111…
…11110101000101
321011212001110200
412020333311011
5202333200033
614120041113
72360446242
oct610776505
9234761420
10103021893
1153175967
122a603199
1318461100
14d97a5c9
1590a0013
hex623fd45

103021893 has 18 divisors (see below), whose sum is σ = 161139186. Its totient is φ = 63397152.

The previous prime is 103021879. The next prime is 103021909. The reversal of 103021893 is 398120301.

It can be written as a sum of positive squares in 3 ways, for example, as 567009 + 102454884 = 753^2 + 10122^2 .

It is not a de Polignac number, because 103021893 - 26 = 103021829 is a prime.

It is a super-2 number, since 2×1030218932 = 21227020874606898, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103021823) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 32346 + ... + 35387.

It is an arithmetic number, because the mean of its divisors is an integer number (8952177).

Almost surely, 2103021893 is an apocalyptic number.

103021893 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

103021893 is a deficient number, since it is larger than the sum of its proper divisors (58117293).

103021893 is a wasteful number, since it uses less digits than its factorization.

103021893 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67765 (or 67749 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 103021893 is about 10149.9700984781. The cubic root of 103021893 is about 468.7880242221.

The spelling of 103021893 in words is "one hundred three million, twenty-one thousand, eight hundred ninety-three".

Divisors: 1 3 9 13 39 117 169 507 1521 67733 203199 609597 880529 2641587 7924761 11446877 34340631 103021893