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22114322111331 = 3211350814279603
BaseRepresentation
bin1010000011100111001000…
…10100000101101101100011
32220022002221010112100010100
411001303210110011231203
510344310112430030311
6115011102422433443
74441464342315042
oct501634424055543
986262833470110
1022114322111331
1170566a434916a
122591aa1892883
13c454aa606918
145664a5d32559
1528539e60ba56
hex141ce4505b63

22114322111331 has 24 divisors (see below), whose sum is σ = 32231940236496. Its totient is φ = 14609534123520.

The previous prime is 22114322111303. The next prime is 22114322111339. The reversal of 22114322111331 is 13311122341122.

22114322111331 is a `hidden beast` number, since 2 + 2 + 1 + 1 + 4 + 322 + 1 + 1 + 1 + 331 = 666.

It is not a de Polignac number, because 22114322111331 - 221 = 22114320014179 is a prime.

It is a super-2 number, since 2×221143221113312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22114322111295 and 22114322111304.

It is not an unprimeable number, because it can be changed into a prime (22114322111339) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3027576 + ... + 7307178.

It is an arithmetic number, because the mean of its divisors is an integer number (1342997509854).

Almost surely, 222114322111331 is an apocalyptic number.

22114322111331 is a deficient number, since it is larger than the sum of its proper divisors (10117618125165).

22114322111331 is a wasteful number, since it uses less digits than its factorization.

22114322111331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4284803 (or 4284800 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

Adding to 22114322111331 its reverse (13311122341122), we get a palindrome (35425444452453).

The spelling of 22114322111331 in words is "twenty-two trillion, one hundred fourteen billion, three hundred twenty-two million, one hundred eleven thousand, three hundred thirty-one".

Divisors: 1 3 9 113 339 1017 5081 15243 45729 574153 1722459 4279603 5167377 12838809 38516427 483595139 1450785417 4352356251 21744662843 65233988529 195701965587 2457146901259 7371440703777 22114322111331