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103013021331 = 32111040535569
BaseRepresentation
bin101111111110000001…
…1011111011010010011
3100211220011011200111100
41133330003133122103
53141432313140311
6115153514315443
710304521143153
oct1377403373223
9324804150440
10103013021331
113a76218a680
1217b6aa28b83
139938b02abc
144db3296763
152a2da01a56
hex17fc0df693

103013021331 has 12 divisors (see below), whose sum is σ = 162323548920. Its totient is φ = 62432134080.

The previous prime is 103013021311. The next prime is 103013021333. The reversal of 103013021331 is 133120310301.

It is a happy number.

103013021331 is a `hidden beast` number, since 1 + 0 + 30 + 1 + 302 + 1 + 331 = 666.

It is not a de Polignac number, because 103013021331 - 225 = 102979466899 is a prime.

It is a super-2 number, since 2×1030130213312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103013021333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 520267686 + ... + 520267883.

It is an arithmetic number, because the mean of its divisors is an integer number (13526962410).

Almost surely, 2103013021331 is an apocalyptic number.

103013021331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

103013021331 is a deficient number, since it is larger than the sum of its proper divisors (59310527589).

103013021331 is a wasteful number, since it uses less digits than its factorization.

103013021331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040535586 (or 1040535583 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 103013021331 its reverse (133120310301), we get a palindrome (236133331632).

The spelling of 103013021331 in words is "one hundred three billion, thirteen million, twenty-one thousand, three hundred thirty-one".

Divisors: 1 3 9 11 33 99 1040535569 3121606707 9364820121 11445891259 34337673777 103013021331