Search a number
-
+
100300331210214 = 23435312757756793
BaseRepresentation
bin10110110011100011111101…
…100111001101010111100110
3111011010121200112110210000210
4112303203331213031113212
5101121310034242211324
6553153200330520250
730061313465253222
oct2663437547152746
9434117615423023
10100300331210214
1129a6014a164623
12b2baa61b96086
1343c738577c415
141aaa7c1d2d782
15b8e0960a4d29
hex5b38fd9cd5e6

100300331210214 has 64 divisors (see below), whose sum is σ = 210785498947584. Its totient is φ = 31787490099456.

The previous prime is 100300331210197. The next prime is 100300331210263. The reversal of 100300331210214 is 412012133003001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27141799 + ... + 30614994.

It is an arithmetic number, because the mean of its divisors is an integer number (3293523421056).

Almost surely, 2100300331210214 is an apocalyptic number.

100300331210214 is an abundant number, since it is smaller than the sum of its proper divisors (110485167737370).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100300331210214 is a wasteful number, since it uses less digits than its factorization.

100300331210214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57757021.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 100300331210214 its reverse (412012133003001), we get a palindrome (512312464213215).

The spelling of 100300331210214 in words is "one hundred trillion, three hundred billion, three hundred thirty-one million, two hundred ten thousand, two hundred fourteen".

Divisors: 1 2 3 6 43 53 86 106 127 129 159 254 258 318 381 762 2279 4558 5461 6731 6837 10922 13462 13674 16383 20193 32766 40386 289433 578866 868299 1736598 57756793 115513586 173270379 346540758 2483542099 3061110029 4967084198 6122220058 7335112711 7450626297 9183330087 14670225422 14901252594 18366660174 22005338133 44010676266 131627731247 263255462494 315409846573 388760973683 394883193741 630819693146 777521947366 789766387482 946229539719 1166282921049 1892459079438 2332565842098 16716721868369 33433443736738 50150165605107 100300331210214