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22231122131 = 416727129863
BaseRepresentation
bin10100101101000101…
…000000000011010011
32010101022210000102202
4110231011000003103
5331012131402011
614113550033415
71414623264101
oct245505000323
963338700382
1022231122131
119478986109
1243851a886b
1321339b4c4a
14110c744c71
158a1a8423b
hex52d1400d3

22231122131 has 16 divisors (see below), whose sum is σ = 23199310848. Its totient is φ = 21285633600.

The previous prime is 22231122119. The next prime is 22231122149. The reversal of 22231122131 is 13122113222.

It is a cyclic number.

It is not a de Polignac number, because 22231122131 - 214 = 22231105747 is a prime.

It is a super-2 number, since 2×222311221312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22231127131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 729506 + ... + 759368.

It is an arithmetic number, because the mean of its divisors is an integer number (1449956928).

Almost surely, 222231122131 is an apocalyptic number.

22231122131 is a deficient number, since it is larger than the sum of its proper divisors (968188717).

22231122131 is a wasteful number, since it uses less digits than its factorization.

22231122131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30242.

The product of its digits is 288, while the sum is 20.

Adding to 22231122131 its reverse (13122113222), we get a palindrome (35353235353).

It can be divided in two parts, 222311 and 22131, that added together give a palindrome (244442).

The spelling of 22231122131 in words is "twenty-two billion, two hundred thirty-one million, one hundred twenty-two thousand, one hundred thirty-one".

Divisors: 1 41 67 271 2747 11111 18157 29863 744437 1224383 2000821 8092873 82033661 331807793 542222491 22231122131