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1022314020231 = 37731822936583
BaseRepresentation
bin11101110000001101010…
…10011111110110000111
310121201202211012002201210
432320012222133312013
5113222144342121411
62101351121222503
7133600615536420
oct16700652376607
93551684162653
101022314020231
11364619681629
1214616aa91a33
13755331b6cca
14376a1baa647
151b8d5722ca6
hexee06a9fd87

1022314020231 has 32 divisors (see below), whose sum is σ = 1579281525760. Its totient is φ = 576129625344.

The previous prime is 1022314020209. The next prime is 1022314020239. The reversal of 1022314020231 is 1320204132201.

It is not a de Polignac number, because 1022314020231 - 27 = 1022314020103 is a prime.

It is a super-2 number, since 2×10223140202312 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1022314020198 and 1022314020207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022314020239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27926766 + ... + 27963348.

It is an arithmetic number, because the mean of its divisors is an integer number (49352547680).

Almost surely, 21022314020231 is an apocalyptic number.

1022314020231 is a deficient number, since it is larger than the sum of its proper divisors (556967505529).

1022314020231 is a wasteful number, since it uses less digits than its factorization.

1022314020231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54895.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 1022314020231 its reverse (1320204132201), we get a palindrome (2342518152432).

The spelling of 1022314020231 in words is "one trillion, twenty-two billion, three hundred fourteen million, twenty thousand, two hundred thirty-one".

Divisors: 1 3 7 21 73 219 511 1533 18229 36583 54687 109749 127603 256081 382809 768243 1330717 2670559 3992151 8011677 9315019 18693913 27945057 56081739 666871507 2000614521 4668100549 14004301647 48681620011 146044860033 340771340077 1022314020231