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100300041231 = 31331618391621
BaseRepresentation
bin101110101101001011…
…0010010110000001111
3100120220002020000102220
41131122112102300033
53120403302304411
6114024401550423
710150346166165
oct1353226226017
9316802200386
10100300041231
113959a838565
1217532345413
1395c5a23230
144bd6c45235
152920755b06
hex175a592c0f

100300041231 has 64 divisors (see below), whose sum is σ = 151376977920. Its totient is φ = 58646592000.

The previous prime is 100300041223. The next prime is 100300041251. The reversal of 100300041231 is 132140003001.

It is not a de Polignac number, because 100300041231 - 23 = 100300041223 is a prime.

It is a super-2 number, since 2×1003000412312 (a number of 23 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 100300041231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100300041251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61874601 + ... + 61876221.

It is an arithmetic number, because the mean of its divisors is an integer number (2365265280).

Almost surely, 2100300041231 is an apocalyptic number.

100300041231 is a deficient number, since it is larger than the sum of its proper divisors (51076936689).

100300041231 is a wasteful number, since it uses less digits than its factorization.

100300041231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2568.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 100300041231 its reverse (132140003001), we get a palindrome (232440044232).

The spelling of 100300041231 in words is "one hundred billion, three hundred million, forty-one thousand, two hundred thirty-one".

Divisors: 1 3 13 31 39 61 93 183 403 793 839 1209 1621 1891 2379 2517 4863 5673 10907 21073 24583 26009 32721 50251 51179 63219 73749 78027 98881 150753 153537 296643 338117 653263 665327 1014351 1285453 1360019 1586549 1959789 1995981 3065311 3856359 4080057 4759647 9195933 17680247 20625137 39849043 42160589 53040741 61875411 82961159 119547129 126481767 248883477 548087657 1078495067 1644262971 2571795929 3235485201 7715387787 33433347077 100300041231