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1022012001001 = 37257349547563
BaseRepresentation
bin11101101111101001010…
…10011000101011101001
310121200222202212221020101
432313310222120223221
5113221040033013001
62101301132025401
7133560260450035
oct16676452305351
93550882787211
101022012001001
11364484149062
121460a5902261
13754b57600c4
1437673a2d1c5
151b8b8e65a01
hexedf4a98ae9

1022012001001 has 32 divisors (see below), whose sum is σ = 1060549660800. Its totient is φ = 984125915136.

The previous prime is 1022012000969. The next prime is 1022012001013. The reversal of 1022012001001 is 1001002102201.

It is a cyclic number.

It is not a de Polignac number, because 1022012001001 - 25 = 1022012000969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1022012301001) 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, 1815296346 + ... + 1815296908.

It is an arithmetic number, because the mean of its divisors is an integer number (33142176900).

Almost surely, 21022012001001 is an apocalyptic number.

It is an amenable number.

1022012001001 is a deficient number, since it is larger than the sum of its proper divisors (38537659799).

1022012001001 is a wasteful number, since it uses less digits than its factorization.

1022012001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1753.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1022012001001 its reverse (1001002102201), we get a palindrome (2023014103202).

It can be divided in two parts, 102201200 and 1001, that added together give a palindrome (102202201).

The spelling of 1022012001001 in words is "one trillion, twenty-two billion, twelve million, one thousand, one".

Divisors: 1 37 257 349 547 563 9509 12913 20239 20831 89693 140579 144691 190903 196487 307961 3318641 5201423 5353567 7063411 7270019 11394557 49062071 50497159 79145977 107478389 1815296627 1868394883 2928401149 3976700393 27621945973 1022012001001