Search a number
-
+
103332044000141 = 1141283816799131
BaseRepresentation
bin10111011111101011011101…
…110001101100101110001101
3111112212110001210221200220222
4113133223131301230232031
5102020443011231001031
61003434030301321125
730523331243630645
oct2737533561545615
9445773053850828
10103332044000141
112aa19967a827a0
12b70a5385661a5
13458722947b378
141b73424925525
15be2d849a0e7b
hex5dfaddc6cb8d

103332044000141 has 32 divisors (see below), whose sum is σ = 115898675751936. Its totient is φ = 91311101424000.

The previous prime is 103332044000063. The next prime is 103332044000147. The reversal of 103332044000141 is 141000440233301.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 103332044000141 - 214 = 103332043983757 is a prime.

It is a super-2 number, since 2×1033320440001412 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 103332044000141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103332044000147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1042329146 + ... + 1042428276.

It is an arithmetic number, because the mean of its divisors is an integer number (3621833617248).

Almost surely, 2103332044000141 is an apocalyptic number.

103332044000141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

103332044000141 is a deficient number, since it is larger than the sum of its proper divisors (12566631751795).

103332044000141 is a wasteful number, since it uses less digits than its factorization.

103332044000141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107633.

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 103332044000141 its reverse (141000440233301), we get a palindrome (244332484233442).

The spelling of 103332044000141 in words is "one hundred three trillion, three hundred thirty-two billion, forty-four million, one hundred forty-one", and thus it is an aban number.

Divisors: 1 11 41 283 451 3113 8167 11603 89837 99131 127633 334847 1090441 2311261 3683317 4064371 25423871 28054073 44708081 94761701 308594803 809602877 1042378711 1150216993 8905631647 12652386923 33193717957 229117614191 365130897527 2520293756101 9393822181831 103332044000141