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132223212121 = 71113456128961
BaseRepresentation
bin111101100100100011…
…1100001101001011001
3110122021212022010022111
41323021013201221121
54131243120241441
6140424214152321
712360420521230
oct1731107415131
9418255263274
10132223212121
1151091613320
12217613526a1
13c612672670
146584869b17
15368d118081
hex1ec91e1a59

132223212121 has 32 divisors (see below), whose sum is σ = 177575521536. Its totient is φ = 95081472000.

The previous prime is 132223212109. The next prime is 132223212131. The reversal of 132223212121 is 121212322231.

It is a cyclic number.

It is not a de Polignac number, because 132223212121 - 213 = 132223203929 is a prime.

It is a super-2 number, since 2×1322232121212 (a number of 23 digits) contains 22 as substring.

132223212121 is a modest number, since divided by 212121 gives 132223 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 132223212092 and 132223212101.

It is not an unprimeable number, because it can be changed into a prime (132223212131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4551081 + ... + 4580041.

It is an arithmetic number, because the mean of its divisors is an integer number (5549235048).

Almost surely, 2132223212121 is an apocalyptic number.

132223212121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

132223212121 is a deficient number, since it is larger than the sum of its proper divisors (45352309415).

132223212121 is a wasteful number, since it uses less digits than its factorization.

132223212121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33553.

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

Adding to 132223212121 its reverse (121212322231), we get a palindrome (253435534352).

The spelling of 132223212121 in words is "one hundred thirty-two billion, two hundred twenty-three million, two hundred twelve thousand, one hundred twenty-one".

Divisors: 1 7 11 13 77 91 143 1001 4561 28961 31927 50171 59293 202727 318571 351197 376493 415051 652223 2229997 2635451 4141423 4565561 28989961 132091121 924637847 1453002331 1717184573 10171016317 12020292011 18889030303 132223212121