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221313134024 = 2327664141753
BaseRepresentation
bin1100111000011101001…
…0100110110111001000
3210011020200201001222122
43032013102212313020
512111222130242044
6245400404310412
721663226412663
oct3160722466710
9704220631878
10221313134024
1185949549254
1236a853a2408
1317b3ca7cc98
14a9d69466da
155b54626dee
hex33874a6dc8

221313134024 has 8 divisors (see below), whose sum is σ = 414962126310. Its totient is φ = 110656567008.

The previous prime is 221313134017. The next prime is 221313134093. The reversal of 221313134024 is 420431313122.

221313134024 is digitally balanced in base 2, 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., 206506624900 + 14806509124 = 454430^2 + 121682^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a junction number, because it is equal to n+sod(n) for n = 221313133984 and 221313134002.

It is an unprimeable number.

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 as a sum of consecutive naturals, namely, 13832070869 + ... + 13832070884.

Almost surely, 2221313134024 is an apocalyptic number.

It is an amenable number.

221313134024 is a deficient number, since it is larger than the sum of its proper divisors (193648992286).

221313134024 is a wasteful number, since it uses less digits than its factorization.

221313134024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27664141759 (or 27664141755 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 221313134024 its reverse (420431313122), we get a palindrome (641744447146).

The spelling of 221313134024 in words is "two hundred twenty-one billion, three hundred thirteen million, one hundred thirty-four thousand, twenty-four".

Divisors: 1 2 4 8 27664141753 55328283506 110656567012 221313134024