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110000111221 = 72111332594817
BaseRepresentation
bin110011001110010000…
…1000111111001110101
3101111221002121121221101
41212130201013321311
53300240012024341
6122311112050101
710642622342500
oct1463441077165
9344832547841
10110000111221
1142718216730
121939a993931
13a4b0538710
145477212137
152cdc11a831
hex199c847e75

110000111221 has 48 divisors (see below), whose sum is σ = 150407167680. Its totient is φ = 79080261120.

The previous prime is 110000111153. The next prime is 110000111269. The reversal of 110000111221 is 122111000011.

It is not a de Polignac number, because 110000111221 - 231 = 107852627573 is a prime.

It is a super-2 number, since 2×1100001112212 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110000111198 and 110000111207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110000111021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22833405 + ... + 22838221.

It is an arithmetic number, because the mean of its divisors is an integer number (3133482660).

Almost surely, 2110000111221 is an apocalyptic number.

110000111221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110000111221 is a deficient number, since it is larger than the sum of its proper divisors (40407056459).

110000111221 is a wasteful number, since it uses less digits than its factorization.

110000111221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8114 (or 8107 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 110000111221 its reverse (122111000011), we get a palindrome (232111111232).

It can be divided in two parts, 11000011 and 1221, that multiplied together give a palindrome (13431013431).

The spelling of 110000111221 in words is "one hundred ten billion, one hundred eleven thousand, two hundred twenty-one".

Divisors: 1 7 11 13 49 77 91 143 539 637 1001 3259 4817 7007 22813 33719 35849 42367 52987 62621 159691 236033 250943 296569 370909 438347 466037 688831 1756601 2075983 2596363 3068429 3262259 4821817 15698603 22835813 33752719 109890221 172684633 204081839 769231547 1208792431 1428572873 2244900229 8461547017 10000010111 15714301603 110000111221