Search a number
-
+
1111100100110 = 2571113110999011
BaseRepresentation
bin10000001010110010101…
…110100000111000001110
310221012221110212021111122
4100022302232200320032
5121201013111200420
62210233215120542
7143163045010310
oct20126256407016
93835843767448
101111100100110
11399240049550
1215b409213152
1380a1267cb50
143bac57937b0
151dd80214725
hex102b2ba0e0e

1111100100110 has 64 divisors (see below), whose sum is σ = 2685288098304. Its totient is φ = 319677148800.

The previous prime is 1111100100083. The next prime is 1111100100151. The reversal of 1111100100110 is 110010011111.

It is a super-4 number, since 4×11111001001104 (a number of 49 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55489496 + ... + 55509515.

It is an arithmetic number, because the mean of its divisors is an integer number (41957626536).

Almost surely, 21111100100110 is an apocalyptic number.

1111100100110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1111100100110 is an abundant number, since it is smaller than the sum of its proper divisors (1574187998194).

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

1111100100110 is a wasteful number, since it uses less digits than its factorization.

1111100100110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110999049.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 1111100100110 its reverse (110010011111), we get a palindrome (1221110111221).

The spelling of 1111100100110 in words is "one trillion, one hundred eleven billion, one hundred million, one hundred thousand, one hundred ten".

Divisors: 1 2 5 7 10 11 13 14 22 26 35 55 65 70 77 91 110 130 143 154 182 286 385 455 715 770 910 1001 1430 2002 5005 10010 110999011 221998022 554995055 776993077 1109990110 1220989121 1442987143 1553986154 2441978242 2885974286 3884965385 6104945605 7214935715 7769930770 8546923847 10100910001 12209891210 14429871430 15872858573 17093847694 20201820002 31745717146 42734619235 50504550005 79364292865 85469238470 101009100010 111110010011 158728585730 222220020022 555550050055 1111100100110