Search a number
-
+
100010133311023 = 13292347283739841
BaseRepresentation
bin10110101111010101101100…
…011110000100111000101111
3111010002212122010221001202101
4112233111230132010320233
5101102031223111423043
6552412004310435531
730031331222645125
oct2657255436047057
9433085563831671
10100010133311023
1129959071aa4791
12b272773362ba7
1343a5bb863ac80
141a9a732957915
15b8675e21224d
hex5af56c784e2f

100010133311023 has 32 divisors (see below), whose sum is σ = 111506685111360. Its totient is φ = 89062081597440.

The previous prime is 100010133311021. The next prime is 100010133311063. The reversal of 100010133311023 is 320113331010001.

It is a cyclic number.

It is not a de Polignac number, because 100010133311023 - 21 = 100010133311021 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010133311021) 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, 2510211583 + ... + 2510251423.

It is an arithmetic number, because the mean of its divisors is an integer number (3484583909730).

Almost surely, 2100010133311023 is an apocalyptic number.

100010133311023 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

100010133311023 is a deficient number, since it is larger than the sum of its proper divisors (11496551800337).

100010133311023 is a wasteful number, since it uses less digits than its factorization.

100010133311023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45067.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 100010133311023 its reverse (320113331010001), we get a palindrome (420123464321024).

The spelling of 100010133311023 in words is "one hundred trillion, ten billion, one hundred thirty-three million, three hundred eleven thousand, twenty-three".

Divisors: 1 13 29 377 2347 2837 30511 36881 39841 68063 82273 517933 884819 1069549 1155389 6658439 15020057 86559707 93506827 113028917 193094731 1215588751 1469375921 2510231503 2711697983 3277838593 35252073779 42611901709 265278868199 3448625286587 7693087177771 100010133311023