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100002010220001 = 3237300306336997
BaseRepresentation
bin10110101111001110001000…
…010010111100010111100001
3111010002002200000220021201100
4112233032020102330113201
5101101413104104020001
6552404142252425013
730030623015551041
oct2657161022742741
9433062600807640
10100002010220001
11299556837a421a
12b271086a78169
1343a51c275b036
141a9a1a1bab721
15b86436000586
hex5af3884bc5e1

100002010220001 has 12 divisors (see below), whose sum is σ = 148351330477012. Its totient is φ = 64866168791136.

The previous prime is 100002010219997. The next prime is 100002010220023. The reversal of 100002010220001 is 100022010200001.

100002010220001 is digitally balanced in base 4, 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 2 ways, for example, as 97232931176976 + 2769079043025 = 9860676^2 + 1664055^2 .

It is not a de Polignac number, because 100002010220001 - 22 = 100002010219997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100002010227001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 150153168166 + ... + 150153168831.

Almost surely, 2100002010220001 is an apocalyptic number.

It is an amenable number.

100002010220001 is a deficient number, since it is larger than the sum of its proper divisors (48349320257011).

100002010220001 is a wasteful number, since it uses less digits than its factorization.

100002010220001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300306337040 (or 300306337037 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100002010220001 its reverse (100022010200001), we get a palindrome (200024020420002).

The spelling of 100002010220001 in words is "one hundred trillion, two billion, ten million, two hundred twenty thousand, one".

Divisors: 1 3 9 37 111 333 300306336997 900919010991 2702757032973 11111334468889 33334003406667 100002010220001