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221231132122 = 271113990111161
BaseRepresentation
bin1100111000001001100…
…1110010110111011010
3210011000222101221112011
43032002121302313122
512111040132211442
6245344314540134
721661212411250
oct3160231626732
9704028357464
10221231132122
118590722aa90
1236a61a3764a
1317b28a9b650
14a9c9abc5d0
155b4c32a117
hex3382672dda

221231132122 has 64 divisors (see below), whose sum is σ = 445641331968. Its totient is φ = 79548480000.

The previous prime is 221231132099. The next prime is 221231132147.

221231132122 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 221231132093 and 221231132102.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19816222 + ... + 19827382.

It is an arithmetic number, because the mean of its divisors is an integer number (6963145812).

Almost surely, 2221231132122 is an apocalyptic number.

221231132122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

221231132122 is an abundant number, since it is smaller than the sum of its proper divisors (224410199846).

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

221231132122 is a wasteful number, since it uses less digits than its factorization.

221231132122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21095.

The product of its digits is 576, while the sum is 22.

It can be divided in two parts, 221231 and 132122, that added together give a palindrome (353353).

The spelling of 221231132122 in words is "two hundred twenty-one billion, two hundred thirty-one million, one hundred thirty-two thousand, one hundred twenty-two".

Divisors: 1 2 7 11 13 14 22 26 77 91 143 154 182 286 1001 2002 9901 11161 19802 22322 69307 78127 108911 122771 128713 138614 145093 156254 217822 245542 257426 290186 762377 859397 900991 1015651 1415843 1524754 1596023 1718794 1801982 2031302 2831686 3192046 9910901 11172161 19821802 22344322 110505061 221010122 773535427 1215555671 1436565793 1547070854 2431111342 2873131586 8508889697 10055960551 15802223723 17017779394 20111921102 31604447446 110615566061 221231132122