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111231220122 = 232114422069
BaseRepresentation
bin110011110010111100…
…1011011100110011010
3101122002220011102212100
41213211321123212122
53310300143020442
6123033211024230
711015261525331
oct1474571334632
9348086142770
10111231220122
114319a140000
121968313b076
13a648602819
14555291cd18
152d6024d84c
hex19e5e5b99a

111231220122 has 60 divisors (see below), whose sum is σ = 265100056650. Its totient is φ = 33706350480.

The previous prime is 111231220057. The next prime is 111231220127. The reversal of 111231220122 is 221022132111.

111231220122 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 110803102641 + 428117481 = 332871^2 + 20691^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 111231220095 and 111231220104.

It is not an unprimeable number, because it can be changed into a prime (111231220127) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 52504 + ... + 474572.

Almost surely, 2111231220122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111231220122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132550028325).

111231220122 is an abundant number, since it is smaller than the sum of its proper divisors (153868836528).

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

111231220122 is an equidigital number, since it uses as much as digits as its factorization.

111231220122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422121 (or 422085 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 111231220122 its reverse (221022132111), we get a palindrome (332253352233).

The spelling of 111231220122 in words is "one hundred eleven billion, two hundred thirty-one million, two hundred twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 1089 1331 2178 2662 3993 7986 11979 14641 23958 29282 43923 87846 131769 263538 422069 844138 1266207 2532414 3798621 4642759 7597242 9285518 13928277 27856554 41784831 51070349 83569662 102140698 153211047 306422094 459633141 561773839 919266282 1123547678 1685321517 3370643034 5055964551 6179512229 10111929102 12359024458 18538536687 37077073374 55615610061 111231220122