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1022002101021 = 311151451204487
BaseRepresentation
bin11101101111101000001…
…00100111101100011101
310121200222002020222000110
432313310010213230131
5113221030014213041
62101300135520233
7133560110345106
oct16676404475435
93550862228013
101022002101021
113644795a7060
121460a2529079
13754b36a4c25
14376725b33ad
151b8b815c516
hexedf4127b1d

1022002101021 has 16 divisors (see below), whose sum is σ = 1486565595648. Its totient is φ = 619388094000.

The previous prime is 1022002101007. The next prime is 1022002101037. The reversal of 1022002101021 is 1201012002201.

It is not a de Polignac number, because 1022002101021 - 25 = 1022002100989 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1022002100988 and 1022002101006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022002101061) 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 15 ways as a sum of consecutive naturals, for example, 4895640 + ... + 5100126.

It is an arithmetic number, because the mean of its divisors is an integer number (92910349728).

Almost surely, 21022002101021 is an apocalyptic number.

1022002101021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1022002101021 is a deficient number, since it is larger than the sum of its proper divisors (464563494627).

1022002101021 is a wasteful number, since it uses less digits than its factorization.

1022002101021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355952.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1022002101021 its reverse (1201012002201), we get a palindrome (2223014103222).

The spelling of 1022002101021 in words is "one trillion, twenty-two billion, two million, one hundred one thousand, twenty-one".

Divisors: 1 3 11 33 151451 204487 454353 613461 1665961 2249357 4997883 6748071 30969760637 92909281911 340667367007 1022002101021