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1022134312201 = 6752129281643
BaseRepresentation
bin11101101111110111111…
…00111101110100001001
310121201022022000222122211
432313323330331310021
5113221312340442301
62101321221345121
7133563304205332
oct16677374756411
93551268028584
101022134312201
113645371992a2
1214611a8681a1
1375504bb5cb2
1437685d8b289
151b8c4a76051
hexedfbf3dd09

1022134312201 has 8 divisors (see below), whose sum is σ = 1039381235424. Its totient is φ = 1004945953440.

The previous prime is 1022134312181. The next prime is 1022134312219.

1022134312201 is nontrivially palindromic in base 10.

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 1022134312201 - 233 = 1013544377609 is a prime.

It is a super-2 number, since 2×10221343122012 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1022137312201) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14605915 + ... + 14675728.

It is an arithmetic number, because the mean of its divisors is an integer number (129922654428).

Almost surely, 21022134312201 is an apocalyptic number.

It is an amenable number.

1022134312201 is a deficient number, since it is larger than the sum of its proper divisors (17246923223).

1022134312201 is an equidigital number, since it uses as much as digits as its factorization.

1022134312201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29282231.

The product of its (nonzero) digits is 576, while the sum is 22.

The spelling of 1022134312201 in words is "one trillion, twenty-two billion, one hundred thirty-four million, three hundred twelve thousand, two hundred one".

Divisors: 1 67 521 34907 29281643 1961870081 15255736003 1022134312201