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22613242129 = 1503772
BaseRepresentation
bin10101000011110110…
…101011000100010001
32011100221210201112021
4111003312223010101
5332302442222004
614215520131441
71430243246422
oct250366530421
964327721467
1022613242129
119654649565
124471166b81
132194c0605a
1411473b3649
158c53b4d54
hex543dab111

22613242129 has 3 divisors (see below), whose sum is σ = 22613392507. Its totient is φ = 22613091752.

The previous prime is 22613242111. The next prime is 22613242151. The reversal of 22613242129 is 92124231622.

The square root of 22613242129 is 150377.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 92124231622 = 246062115811.

It can be written as a sum of positive squares in only one way, i.e., 7446827025 + 15166415104 = 86295^2 + 123152^2 .

It is not a de Polignac number, because 22613242129 - 223 = 22604853521 is a prime.

It is a super-2 number, since 2×226132421292 (a number of 22 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 = 22613242094 and 22613242103.

It is not an unprimeable number, because it can be changed into a prime (22613245129) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 75189 + ... + 225565.

Almost surely, 222613242129 is an apocalyptic number.

22613242129 is the 150377-th square number.

22613242129 is the 75189-th centered octagonal number.

It is an amenable number.

22613242129 is a deficient number, since it is larger than the sum of its proper divisors (150378).

22613242129 is an frugal number, since it uses more digits than its factorization.

22613242129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300754 (or 150377 counting only the distinct ones).

The product of its digits is 20736, while the sum is 34.

Multiplying 22613242129 by its product of digits (20736), we get a square (468908188786944 = 216542882).

The spelling of 22613242129 in words is "twenty-two billion, six hundred thirteen million, two hundred forty-two thousand, one hundred twenty-nine".

Divisors: 1 150377 22613242129