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1030103113 = 132916316763
BaseRepresentation
bin111101011001100…
…010000001001001
32122210022122211011
4331121202001021
54102201244423
6250114403521
734345506034
oct7531420111
92583278734
101030103113
11489514796
12248b905a1
1313554a090
149ab4601b
156067ab0d
hex3d662049

1030103113 has 16 divisors (see below), whose sum is σ = 1154704320. Its totient is φ = 912389184.

The previous prime is 1030103111. The next prime is 1030103149. The reversal of 1030103113 is 3113010301.

It is a happy number.

It is not a de Polignac number, because 1030103113 - 21 = 1030103111 is a prime.

It is a super-2 number, since 2×10301031132 = 2122224846824581538, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1030103093 and 1030103102.

It is not an unprimeable number, because it can be changed into a prime (1030103111) 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, 53070 + ... + 69832.

It is an arithmetic number, because the mean of its divisors is an integer number (72169020).

Almost surely, 21030103113 is an apocalyptic number.

1030103113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1030103113 is a deficient number, since it is larger than the sum of its proper divisors (124601207).

1030103113 is a wasteful number, since it uses less digits than its factorization.

1030103113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16968.

The product of its (nonzero) digits is 27, while the sum is 13.

The square root of 1030103113 is about 32095.2194726878. The cubic root of 1030103113 is about 1009.9353332449.

Adding to 1030103113 its reverse (3113010301), we get a palindrome (4143113414).

The spelling of 1030103113 in words is "one billion, thirty million, one hundred three thousand, one hundred thirteen".

Divisors: 1 13 29 163 377 2119 4727 16763 61451 217919 486127 2732369 6319651 35520797 79238701 1030103113