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11100000105 = 3354759149199
BaseRepresentation
bin10100101011001110…
…01000111101101001
31001122120121102121000
422111213020331221
5140213100000410
65033235305213
7542032305225
oct122547107551
931576542530
1011100000105
11478672a407
12219944b209
13107b86b1cc
147742a1785
1544e743dc0
hex2959c8f69

11100000105 has 128 divisors (see below), whose sum is σ = 20736000000. Its totient is φ = 5629181184.

The previous prime is 11100000101. The next prime is 11100000113. The reversal of 11100000105 is 50100000111.

It is not a de Polignac number, because 11100000105 - 22 = 11100000101 is a prime.

It is a super-2 number, since 2×111000001052 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (11100000101) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 55778796 + ... + 55778994.

It is an arithmetic number, because the mean of its divisors is an integer number (162000000).

Almost surely, 211100000105 is an apocalyptic number.

11100000105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11100000105 is a deficient number, since it is larger than the sum of its proper divisors (9635999895).

11100000105 is a wasteful number, since it uses less digits than its factorization.

11100000105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 9.

Adding to 11100000105 its reverse (50100000111), we get a palindrome (61200000216).

The spelling of 11100000105 in words is "eleven billion, one hundred million, one hundred five", and thus it is an aban number.

Divisors: 1 3 5 9 15 27 45 47 59 135 141 149 177 199 235 295 423 447 531 597 705 745 885 995 1269 1341 1593 1791 2115 2235 2655 2773 2985 4023 5373 6345 6705 7003 7965 8319 8791 8955 9353 11741 13865 20115 21009 24957 26373 26865 28059 29651 35015 35223 41595 43955 46765 58705 63027 74871 79119 84177 88953 105045 105669 124785 131865 140295 148255 176115 189081 237357 252531 266859 315135 317007 374355 395595 413177 420885 444765 528345 551827 800577 945405 1186785 1239531 1262655 1334295 1393597 1585035 1655481 1749409 2065885 2759135 3718593 4002885 4180791 4966443 5248227 6197655 6967985 8277405 8747045 11155779 12542373 14899329 15744681 18592965 20903955 24832215 26241135 37627119 47234043 55778895 62711865 74496645 78723405 82222223 188135595 236170215 246666669 411111115 740000007 1233333345 2220000021 3700000035 11100000105