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110011000001110 = 25132397797475921
BaseRepresentation
bin11001000000110111101110…
…100100111001001001010110
3112102111221121201222201212121
4121000313232210321021112
5103404410012000013420
61025550204500010154
732113014064135615
oct3100675644711126
9472457551881777
10110011000001110
11320644485798aa
1210408a5139095a
13494ccba1c9460
141d247bcc1187c
15cab98a2a22aa
hex640dee939256

110011000001110 has 128 divisors (see below), whose sum is σ = 225100536724224. Its totient is φ = 38404505272320.

The previous prime is 110011000001011. The next prime is 110011000001113. The reversal of 110011000001110 is 11100000110011.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 110011000001093 and 110011000001102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110011000001113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 230915950 + ... + 231391870.

It is an arithmetic number, because the mean of its divisors is an integer number (1758597943158).

Almost surely, 2110011000001110 is an apocalyptic number.

110011000001110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

110011000001110 is an abundant number, since it is smaller than the sum of its proper divisors (115089536723114).

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

110011000001110 is a wasteful number, since it uses less digits than its factorization.

110011000001110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476858.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 110011000001110 its reverse (11100000110011), we get a palindrome (121111000111121).

The spelling of 110011000001110 in words is "one hundred ten trillion, eleven billion, one thousand, one hundred ten".

Divisors: 1 2 5 10 13 23 26 46 65 97 115 130 194 230 299 485 598 797 970 1261 1495 1594 2231 2522 2990 3985 4462 6305 7970 10361 11155 12610 18331 20722 22310 29003 36662 51805 58006 77309 91655 103610 145015 154618 183310 238303 290030 386545 475921 476606 773090 951842 1005017 1191515 1778107 2010034 2379605 2383030 3556214 4759210 5025085 6186973 8890535 10050170 10946183 12373946 17781070 21892366 23115391 30934865 46164337 46230782 54730915 61869730 92328674 109461830 115576955 142300379 230821685 231153910 284600758 379309037 461643370 600136381 711501895 758618074 1061779751 1200272762 1423003790 1896545185 2123559502 3000681905 3793090370 4931017481 5308898755 6001363810 8724107851 9862034962 10617797510 13803136763 17448215702 24655087405 27606273526 36792976589 43620539255 49310174810 69015683815 73585953178 87241078510 113413402063 138031367630 183964882945 226826804126 367929765890 478308695657 567067010315 846238461547 956617391314 1134134020630 1692476923094 2391543478285 4231192307735 4783086956570 8462384615470 11001100000111 22002200000222 55005500000555 110011000001110