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10012002020001 = 3240211638116889
BaseRepresentation
bin1001000110110001100111…
…0100101110101010100001
31022110010201122011001002200
42101230121310232222201
52303014040004120001
633143241130003413
72052225513003252
oct221543164565241
938403648131080
1010012002020001
113210080145313
121158487276569
135781878495c7
14268825114b29
1512567d962086
hex91b19d2eaa1

10012002020001 has 24 divisors (see below), whose sum is σ = 14467116866280. Its totient is φ = 6672205612800.

The previous prime is 10012002019937. The next prime is 10012002020039. The reversal of 10012002020001 is 10002020021001.

It can be written as a sum of positive squares in 4 ways, for example, as 2863544224401 + 7148457795600 = 1692201^2 + 2673660^2 .

It is not a de Polignac number, because 10012002020001 - 26 = 10012002019937 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (10012002020051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 592803565 + ... + 592820453.

It is an arithmetic number, because the mean of its divisors is an integer number (602796536095).

Almost surely, 210012002020001 is an apocalyptic number.

It is an amenable number.

10012002020001 is a deficient number, since it is larger than the sum of its proper divisors (4455114846279).

10012002020001 is a wasteful number, since it uses less digits than its factorization.

10012002020001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37297 (or 37294 counting only the distinct ones).

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

Adding to 10012002020001 its reverse (10002020021001), we get a palindrome (20014022041002).

The spelling of 10012002020001 in words is "ten trillion, twelve billion, two million, twenty thousand, one".

Divisors: 1 3 9 4021 12063 16381 16889 36189 49143 50667 147429 152001 65868001 67910669 197604003 203732007 276658709 592812009 611196021 829976127 2489928381 1112444668889 3337334006667 10012002020001