Search a number
-
+
100405531661243 = 17210311117301681
BaseRepresentation
bin10110110101000101111100…
…000011000101001110111011
3111011111200020010200101221212
4112311011330003011032323
5101130021012101124433
6553313355305353335
730102026450322434
oct2665057403051673
9434450203611855
10100405531661243
1129aa0824068536
12b31732149884b
13440427c802103
141ab192191048b
15b91ba1b3dd48
hex5b517c0c53bb

100405531661243 has 24 divisors (see below), whose sum is σ = 106858549528224. Its totient is φ = 94322834380800.

The previous prime is 100405531661233. The next prime is 100405531661263. The reversal of 100405531661243 is 342166135504001.

It is not a de Polignac number, because 100405531661243 - 26 = 100405531661179 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100405531661243.

It is not an unprimeable number, because it can be changed into a prime (100405531661233) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 332669363 + ... + 332971043.

It is an arithmetic number, because the mean of its divisors is an integer number (4452439563676).

Almost surely, 2100405531661243 is an apocalyptic number.

100405531661243 is a deficient number, since it is larger than the sum of its proper divisors (6453017866981).

100405531661243 is a wasteful number, since it uses less digits than its factorization.

100405531661243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303863 (or 303846 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 41.

The spelling of 100405531661243 in words is "one hundred trillion, four hundred five billion, five hundred thirty-one million, six hundred sixty-one thousand, two hundred forty-three".

Divisors: 1 17 289 1031 1117 17527 18989 297959 301681 322813 1151627 5128577 19577659 87185809 311033111 332820203 336977677 5287562887 5728620509 89888569079 97386548653 347423984987 5906207744779 100405531661243