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103834381 = 7210919441
BaseRepresentation
bin1100011000001…
…10001100001101
321020101022222211
412030012030031
5203040200011
614145310421
72400402100
oct614061415
9236338884
10103834381
1153680342
122a935411
1318686b81
14db0c737
1591b0b21
hex630630d

103834381 has 12 divisors (see below), whose sum is σ = 121901340. Its totient is φ = 88179840.

The previous prime is 103834349. The next prime is 103834387. The reversal of 103834381 is 183438301.

It can be written as a sum of positive squares in 2 ways, for example, as 47734281 + 56100100 = 6909^2 + 7490^2 .

It is not a de Polignac number, because 103834381 - 25 = 103834349 is a prime.

It is a super-2 number, since 2×1038343812 = 21563157355306322, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103834387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4380 + ... + 15061.

It is an arithmetic number, because the mean of its divisors is an integer number (10158445).

Almost surely, 2103834381 is an apocalyptic number.

It is an amenable number.

103834381 is a deficient number, since it is larger than the sum of its proper divisors (18066959).

103834381 is a wasteful number, since it uses less digits than its factorization.

103834381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19564 (or 19557 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 103834381 is about 10189.9156522515. The cubic root of 103834381 is about 470.0171730559.

The spelling of 103834381 in words is "one hundred three million, eight hundred thirty-four thousand, three hundred eighty-one".

Divisors: 1 7 49 109 763 5341 19441 136087 952609 2119069 14833483 103834381