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22125351616431 = 379111156518301
BaseRepresentation
bin1010000011111011101011…
…01110010011111110101111
32220100011101210111020202020
411001331311232103332233
510400000210003211211
6115020125103201223
74442334560465430
oct501756556237657
986304353436666
1022125351616431
1170603441a9638
12259405b5a6213
13c46547691bbb
14566c30ac3487
152857e7a78306
hex141f75b93faf

22125351616431 has 16 divisors (see below), whose sum is σ = 33751830125568. Its totient is φ = 12629179836000.

The previous prime is 22125351616427. The next prime is 22125351616463. The reversal of 22125351616431 is 13461615352122.

It is not a de Polignac number, because 22125351616431 - 22 = 22125351616427 is a prime.

It is a super-2 number, since 2×221253516164312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22125351616411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 578240020 + ... + 578278281.

It is an arithmetic number, because the mean of its divisors is an integer number (2109489382848).

Almost surely, 222125351616431 is an apocalyptic number.

22125351616431 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

22125351616431 is a deficient number, since it is larger than the sum of its proper divisors (11626478509137).

22125351616431 is a wasteful number, since it uses less digits than its factorization.

22125351616431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156519222.

The product of its digits is 259200, while the sum is 42.

Adding to 22125351616431 its reverse (13461615352122), we get a palindrome (35586966968553).

The spelling of 22125351616431 in words is "twenty-two trillion, one hundred twenty-five billion, three hundred fifty-one million, six hundred sixteen thousand, four hundred thirty-one".

Divisors: 1 3 7 21 911 2733 6377 19131 1156518301 3469554903 8095628107 24286884321 1053588172211 3160764516633 7375117205477 22125351616431