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221132231122 = 21110051465051
BaseRepresentation
bin1100110111110010000…
…0100001000111010010
3210010210002022020212011
43031330200201013102
512110334322343442
6245330423053134
721655601644165
oct3157440410722
9703702266764
10221132231122
118586641a220
1236a348a11aa
1317b1145114a
14a9ba8d5adc
155b437e1117
hex337c8211d2

221132231122 has 8 divisors (see below), whose sum is σ = 361852741872. Its totient is φ = 100514650500.

The previous prime is 221132231107. The next prime is 221132231141.

221132231122 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a Harshad number since it is a multiple of its sum of digits (22), and also a Moran number because the ratio is a prime number: 10051465051 = 221132231122 / (2 + 2 + 1 + 1 + 3 + 2 + 2 + 3 + 1 + 1 + 2 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 221132231093 and 221132231102.

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 3 ways as a sum of consecutive naturals, for example, 5025732504 + ... + 5025732547.

It is an arithmetic number, because the mean of its divisors is an integer number (45231592734).

Almost surely, 2221132231122 is an apocalyptic number.

221132231122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

221132231122 is a deficient number, since it is larger than the sum of its proper divisors (140720510750).

221132231122 is a wasteful number, since it uses less digits than its factorization.

221132231122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10051465064.

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

It can be divided in two parts, 221132 and 231122, that added together give a palindrome (452254).

The spelling of 221132231122 in words is "two hundred twenty-one billion, one hundred thirty-two million, two hundred thirty-one thousand, one hundred twenty-two".

Divisors: 1 2 11 22 10051465051 20102930102 110566115561 221132231122