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111010110000111 = 327223241160120479
BaseRepresentation
bin11001001111011010001110…
…001011000100101111101111
3112120001110111102201102111200
4121033122032023010233233
5104022242201130000421
61032033201314420543
732245134004042560
oct3117321613045757
9476043442642450
10111010110000111
113240a13a081883
121054a605291753
1349c3292c8c88a
141d5acbcd82167
15cc7963814726
hex64f68e2c4bef

111010110000111 has 96 divisors (see below), whose sum is σ = 184964842782720. Its totient is φ = 62845507584000.

The previous prime is 111010110000109. The next prime is 111010110000131. The reversal of 111010110000111 is 111000011010111.

It is not a de Polignac number, because 111010110000111 - 21 = 111010110000109 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 111010110000093 and 111010110000102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111010110000131) 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, 5420669970 + ... + 5420690448.

It is an arithmetic number, because the mean of its divisors is an integer number (1926717112320).

Almost surely, 2111010110000111 is an apocalyptic number.

111010110000111 is a deficient number, since it is larger than the sum of its proper divisors (73954732782609).

111010110000111 is a wasteful number, since it uses less digits than its factorization.

111010110000111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22557 (or 22554 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 111010110000111 its reverse (111000011010111), we get a palindrome (222010121010222).

The spelling of 111010110000111 in words is "one hundred eleven trillion, ten billion, one hundred ten million, one hundred eleven", and thus it is an aban number.

Divisors: 1 3 7 9 21 63 223 241 669 723 1561 1601 1687 2007 2169 4683 4803 5061 11207 14049 14409 15183 20479 33621 53743 61437 100863 143353 161229 184311 357023 376201 385841 430059 483687 1071069 1128603 1157523 1290177 2499161 2700887 3213207 3385809 3472569 4566817 4935439 7497483 8102661 13700451 14806317 22492449 24307983 31967719 32786879 34548073 41101353 44418951 86042543 95903157 98360637 103644219 229508153 258127629 287709471 295081911 310932657 602297801 688524459 774382887 1100602897 1806893403 2065573377 3301808691 5420680209 7311474017 7704220279 7901637839 9905426073 21934422051 23112660837 23704913517 51180318119 55311464873 65803266153 69337982511 71114740551 153540954357 165934394619 460622863071 497803183857 1762065238097 5286195714291 12334456666679 15858587142873 37003370000037 111010110000111