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22306131141 = 3761110315787
BaseRepresentation
bin10100110001100011…
…001000110011000101
32010120112220212110020
4110301203020303011
5331140332144031
614125225445353
71416523662210
oct246143106305
963515825406
1022306131141
119507258528
1243a6340859
1321463b8688
1411186ac777
158a844e096
hex5318c8cc5

22306131141 has 32 divisors (see below), whose sum is σ = 34581024768. Its totient is φ = 12525243840.

The previous prime is 22306131097. The next prime is 22306131149. The reversal of 22306131141 is 14113160322.

It is a happy number.

It is not a de Polignac number, because 22306131141 - 27 = 22306131013 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22306131149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1405050 + ... + 1420836.

It is an arithmetic number, because the mean of its divisors is an integer number (1080657024).

Almost surely, 222306131141 is an apocalyptic number.

22306131141 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

22306131141 is a deficient number, since it is larger than the sum of its proper divisors (12274893627).

22306131141 is a wasteful number, since it uses less digits than its factorization.

22306131141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16961.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 22306131141 its reverse (14113160322), we get a palindrome (36419291463).

The spelling of 22306131141 in words is "twenty-two billion, three hundred six million, one hundred thirty-one thousand, one hundred forty-one".

Divisors: 1 3 7 21 61 183 427 1103 1281 3309 7721 15787 23163 47361 67283 110509 201849 331527 470981 963007 1412943 2889021 6741049 17413061 20223147 52239183 121891427 365674281 1062196721 3186590163 7435377047 22306131141