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221132142131 = 594595981551
BaseRepresentation
bin1100110111110010000…
…0001011011000110011
3210010210002010201210012
43031330200023120303
512110334312022011
6245330421125135
721655601123555
oct3157440133063
9703702121705
10221132142131
118586636937a
1236a348597ab
1317b1141c7a4
14a9ba8b14d5
155b437c4a8b
hex337c80b633

221132142131 has 8 divisors (see below), whose sum is σ = 224887795200. Its totient is φ = 217376744200.

The previous prime is 221132142107. The next prime is 221132142163. The reversal of 221132142131 is 131241231122.

221132142131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-221132142131 is a prime.

It is a super-2 number, since 2×2211321421312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 221132142097 and 221132142106.

It is not an unprimeable number, because it can be changed into a prime (221132142731) 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 7 ways as a sum of consecutive naturals, for example, 2670806 + ... + 2752356.

It is an arithmetic number, because the mean of its divisors is an integer number (28110974400).

Almost surely, 2221132142131 is an apocalyptic number.

221132142131 is a deficient number, since it is larger than the sum of its proper divisors (3755653069).

221132142131 is an equidigital number, since it uses as much as digits as its factorization.

221132142131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127569.

The product of its digits is 576, while the sum is 23.

Adding to 221132142131 its reverse (131241231122), we get a palindrome (352373373253).

The spelling of 221132142131 in words is "two hundred twenty-one billion, one hundred thirty-two million, one hundred forty-two thousand, one hundred thirty-one".

Divisors: 1 59 45959 81551 2711581 4811509 3748002409 221132142131