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4022222131201 = 292692437211573
BaseRepresentation
bin111010100001111111000…
…111110001000000000001
3112020112001120112221010111
4322201333013301000001
51011400002331144301
612315441111231321
7563411262002461
oct72417707610001
915215046487114
104022222131201
1113108a659675a
1254b64a078541
132323a89831b1
14dc9687c3ba1
156e961d65551
hex3a87f1f1001

4022222131201 has 16 divisors (see below), whose sum is σ = 4178121037200. Its totient is φ = 3867481997568.

The previous prime is 4022222131189. The next prime is 4022222131211. The reversal of 4022222131201 is 1021312222204.

It can be written as a sum of positive squares in 8 ways, for example, as 51494976 + 4022170636225 = 7176^2 + 2005535^2 .

It is not a de Polignac number, because 4022222131201 - 27 = 4022222131073 is a prime.

It is a super-2 number, since 2×40222221312012 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4022222131211) 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 15 ways as a sum of consecutive naturals, for example, 18905251 + ... + 19116823.

It is an arithmetic number, because the mean of its divisors is an integer number (261132564825).

Almost surely, 24022222131201 is an apocalyptic number.

It is an amenable number.

4022222131201 is a deficient number, since it is larger than the sum of its proper divisors (155898905999).

4022222131201 is a wasteful number, since it uses less digits than its factorization.

4022222131201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214308.

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 4022222131201 its reverse (1021312222204), we get a palindrome (5043534353405).

The spelling of 4022222131201 in words is "four trillion, twenty-two billion, two hundred twenty-two million, one hundred thirty-one thousand, two hundred one".

Divisors: 1 29 269 2437 7801 70673 211573 655553 6135617 19011037 56913137 515603401 1650480973 14952498629 138697314869 4022222131201