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1022010202001 = 2578574640249
BaseRepresentation
bin11101101111101001000…
…11100001011110010001
310121200222122111112110202
432313310203201132101
5113221034102431001
62101301025304545
7133560236245115
oct16676443413621
93550878445422
101022010202001
1136448312a488
121460a5195155
13754b52802c9
14376736c1745
151b8b8c0c96b
hexedf48e1791

1022010202001 has 8 divisors (see below), whose sum is σ = 1027184301000. Its totient is φ = 1016845385728.

The previous prime is 1022010201973. The next prime is 1022010202013. The reversal of 1022010202001 is 1002020102201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 753814650625 + 268195551376 = 868225^2 + 517876^2 .

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 1022010202001 - 210 = 1022010200977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1022010202051) 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, 2099876 + ... + 2540373.

It is an arithmetic number, because the mean of its divisors is an integer number (128398037625).

Almost surely, 21022010202001 is an apocalyptic number.

It is an amenable number.

1022010202001 is a deficient number, since it is larger than the sum of its proper divisors (5174098999).

1022010202001 is an equidigital number, since it uses as much as digits as its factorization.

1022010202001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4641363.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1022010202001 its reverse (1002020102201), we get a palindrome (2024030304202).

The spelling of 1022010202001 in words is "one trillion, twenty-two billion, ten million, two hundred two thousand, one".

Divisors: 1 257 857 220249 4640249 1192543993 3976693393 1022010202001