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1010022010001 = 8091852167409
BaseRepresentation
bin11101011001010100000…
…00001100110010010001
310120120001011121021122122
432230222000030302101
5113022011113310001
62051555300544025
7132654200301044
oct16545200146221
93516034537578
101010022010001
1135a391103394
121438ba3b2015
13743246c1284
1436c57498c5b
151b416520b1b
hexeb2a00cc91

1010022010001 has 8 divisors (see below), whose sum is σ = 1011340096200. Its totient is φ = 1008704097280.

The previous prime is 1010022009973. The next prime is 1010022010061. The reversal of 1010022010001 is 1000102200101.

It can be written as a sum of positive squares in 4 ways, for example, as 754815177601 + 255206832400 = 868801^2 + 505180^2 .

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 1010022010001 - 234 = 992842140817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1010022010061) 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, 14949785 + ... + 15017193.

It is an arithmetic number, because the mean of its divisors is an integer number (126417512025).

Almost surely, 21010022010001 is an apocalyptic number.

It is an amenable number.

1010022010001 is a deficient number, since it is larger than the sum of its proper divisors (1318086199).

1010022010001 is an equidigital number, since it uses as much as digits as its factorization.

1010022010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86739.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1010022010001 its reverse (1000102200101), we get a palindrome (2010124210102).

The spelling of 1010022010001 in words is "one trillion, ten billion, twenty-two million, ten thousand, one".

Divisors: 1 809 18521 67409 14983489 54533881 1248482089 1010022010001