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1010221200001 = 13208937199293
BaseRepresentation
bin11101011001101011110…
…00000011001010000001
310120120120001102011222001
432230311320003022001
5113022413111400001
62052031134144001
7132662136342646
oct16546570031201
93516501364861
101010221200001
1135a483592822
12143955052001
1374356a53990
1436c75b09dcd
151b428c6a001
hexeb35e03281

1010221200001 has 8 divisors (see below), whose sum is σ = 1088451342440. Its totient is φ = 932065460352.

The previous prime is 1010221199971. The next prime is 1010221200013. The reversal of 1010221200001 is 1000021220101.

It can be written as a sum of positive squares in 4 ways, for example, as 507405480976 + 502815719025 = 712324^2 + 709095^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1010221200001 - 25 = 1010221199969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1010221200061) 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, 18572490 + ... + 18626803.

It is an arithmetic number, because the mean of its divisors is an integer number (136056417805).

Almost surely, 21010221200001 is an apocalyptic number.

It is an amenable number.

1010221200001 is a deficient number, since it is larger than the sum of its proper divisors (78230142439).

1010221200001 is a wasteful number, since it uses less digits than its factorization.

1010221200001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37201395.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1010221200001 its reverse (1000021220101), we get a palindrome (2010242420102).

The spelling of 1010221200001 in words is "one trillion, ten billion, two hundred twenty-one million, two hundred thousand, one".

Divisors: 1 13 2089 27157 37199293 483590809 77709323077 1010221200001