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1022212012001 = 17292073452357
BaseRepresentation
bin11101110000000001001…
…01010111011111100001
310121201111201020112202012
432320000211113133201
5113221442233341001
62101333035002305
7133565236511345
oct16700045273741
93551451215665
101022212012001
11364577039304
12146140899395
137551801c3cb
1437692415625
151b8cb7c32bb
hexee009577e1

1022212012001 has 8 divisors (see below), whose sum is σ = 1119664273320. Its totient is φ = 928906655488.

The previous prime is 1022212011991. The next prime is 1022212012027. The reversal of 1022212012001 is 1002102122201.

1022212012001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 43190814976 + 979021197025 = 207824^2 + 989455^2 .

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 1022212012001 - 214 = 1022211995617 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1022212012201) 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, 1036725686 + ... + 1036726671.

It is an arithmetic number, because the mean of its divisors is an integer number (139958034165).

Almost surely, 21022212012001 is an apocalyptic number.

It is an amenable number.

1022212012001 is a deficient number, since it is larger than the sum of its proper divisors (97452261319).

1022212012001 is a wasteful number, since it uses less digits than its factorization.

1022212012001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2073452403.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1022212012001 its reverse (1002102122201), we get a palindrome (2024314134202).

The spelling of 1022212012001 in words is "one trillion, twenty-two billion, two hundred twelve million, twelve thousand, one".

Divisors: 1 17 29 493 2073452357 35248690069 60130118353 1022212012001