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10022321312131 = 431811287719557
BaseRepresentation
bin1001000111011000000011…
…1001101101000110000011
31022111010100210201101200111
42101312000321231012003
52303201203223442011
633152105120132151
72053042315355122
oct221660071550603
938433323641614
1010022321312131
113214496110217
12115a487167057
1357914072aa1b
1426912382dab9
15125a84890121
hex91d80e6d183

10022321312131 has 8 divisors (see below), whose sum is σ = 10312058220464. Its totient is φ = 9735159843360.

The previous prime is 10022321312057. The next prime is 10022321312147. The reversal of 10022321312131 is 13121312322001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10022321312131 - 221 = 10022319214979 is a prime.

It is a super-2 number, since 2×100223213121312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10022321312161) 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 7 ways as a sum of consecutive naturals, for example, 643851996 + ... + 643867561.

It is an arithmetic number, because the mean of its divisors is an integer number (1289007277558).

Almost surely, 210022321312131 is an apocalyptic number.

10022321312131 is a deficient number, since it is larger than the sum of its proper divisors (289736908333).

10022321312131 is a wasteful number, since it uses less digits than its factorization.

10022321312131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1287719781.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 10022321312131 its reverse (13121312322001), we get a palindrome (23143633634132).

The spelling of 10022321312131 in words is "ten trillion, twenty-two billion, three hundred twenty-one million, three hundred twelve thousand, one hundred thirty-one".

Divisors: 1 43 181 7783 1287719557 55371940951 233077239817 10022321312131