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100111100561055 = 32583239595318839
BaseRepresentation
bin10110110000110011101110…
…100101100100011010011111
3111010110112020201121210121100
4112300303232211210122133
5101110210013220423210
6552530223225204143
730041534253263433
oct2660635645443237
9433415221553540
10100111100561055
1129997974415081
12b28a251030653
1343b258965bcbc
141aa159023c9c3
15b891bd30e5c0
hex5b0cee96469f

100111100561055 has 96 divisors (see below), whose sum is σ = 176390365132800. Its totient is φ = 52516982697984.

The previous prime is 100111100561047. The next prime is 100111100561057. The reversal of 100111100561055 is 550165001111001.

It is not a de Polignac number, because 100111100561055 - 23 = 100111100561047 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111100561057) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5314025326 + ... + 5314044164.

It is an arithmetic number, because the mean of its divisors is an integer number (1837399636800).

Almost surely, 2100111100561055 is an apocalyptic number.

100111100561055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

100111100561055 is a deficient number, since it is larger than the sum of its proper divisors (76279264571745).

100111100561055 is a wasteful number, since it uses less digits than its factorization.

100111100561055 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25125 (or 25122 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 27.

Adding to 100111100561055 its reverse (550165001111001), we get a palindrome (650276101672056).

The spelling of 100111100561055 in words is "one hundred trillion, one hundred eleven billion, one hundred million, five hundred sixty-one thousand, fifty-five".

Divisors: 1 3 5 9 15 45 83 239 249 415 717 747 1195 1245 2151 3585 3735 5953 10755 17859 18839 19837 29765 53577 56517 59511 89295 94195 99185 169551 178533 267885 282585 297555 494099 847755 892665 1422767 1482297 1563637 2470495 4268301 4446891 4502521 4690911 7113835 7411485 7818185 12804903 13507563 14072733 21341505 22234455 22512605 23454555 40522689 64024515 67537815 70363665 112148567 118089661 202613445 336445701 354268983 373709243 560742835 590448305 1009337103 1062806949 1121127729 1682228505 1771344915 1868546215 3363383187 5046685515 5314034745 5605638645 9308331061 16816915935 26803507513 27924993183 46541655305 80410522539 83774979549 134017537565 139624965915 241231567617 402052612695 418874897745 1206157838085 2224691123579 6674073370737 11123455617895 20022220112211 33370366853685 100111100561055