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1022131022133 = 313216033125743
BaseRepresentation
bin11101101111110111100…
…00011010100100110101
310121201022001211211112110
432313323300122210311
5113221311020202013
62101321023041233
7133563234223314
oct16677360324465
93551261754473
101022131022133
11364535351431
12146119740219
1375504303600
143768577227b
151b8c46262c3
hexedfbc1a935

1022131022133 has 24 divisors (see below), whose sum is σ = 1475843244672. Its totient is φ = 628959472128.

The previous prime is 1022131022123. The next prime is 1022131022161. The reversal of 1022131022133 is 3312201312201.

It is not a de Polignac number, because 1022131022133 - 24 = 1022131022117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022131022123) 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, 8065860 + ... + 8191602.

It is an arithmetic number, because the mean of its divisors is an integer number (61493468528).

Almost surely, 21022131022133 is an apocalyptic number.

1022131022133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1022131022133 is a deficient number, since it is larger than the sum of its proper divisors (453712222539).

1022131022133 is a wasteful number, since it uses less digits than its factorization.

1022131022133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141805 (or 141792 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 1022131022133 its reverse (3312201312201), we get a palindrome (4334332334334).

The spelling of 1022131022133 in words is "one trillion, twenty-two billion, one hundred thirty-one million, twenty-two thousand, one hundred thirty-three".

Divisors: 1 3 13 39 169 507 16033 48099 125743 208429 377229 625287 1634659 2709577 4903977 8128731 21250567 63751701 2016037519 6048112557 26208487747 78625463241 340710340711 1022131022133