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3122002102001 = 1011117115324001
BaseRepresentation
bin101101011011100101110…
…100111000011011110001
3102001110102200202012120112
4231123211310320123301
5402122330014231001
610350121123551105
7441362060004416
oct55334564703361
912043380665515
103122002102001
11aa4040883752
1242509422b495
131985327492c3
14ab16a0c410d
1556325374cbb
hex2d6e5d386f1

3122002102001 has 16 divisors (see below), whose sum is σ = 3158604251088. Its totient is φ = 3085516800000.

The previous prime is 3122002101979. The next prime is 3122002102019. The reversal of 3122002102001 is 1002012002213.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 5280202225 + 3116721899776 = 72665^2 + 1765424^2 .

It is a cyclic number.

It is not a de Polignac number, because 3122002102001 - 222 = 3121997907697 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3122002102061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130066001 + ... + 130090001.

It is an arithmetic number, because the mean of its divisors is an integer number (197412765693).

Almost surely, 23122002102001 is an apocalyptic number.

It is an amenable number.

3122002102001 is a deficient number, since it is larger than the sum of its proper divisors (36602149087).

3122002102001 is a wasteful number, since it uses less digits than its factorization.

3122002102001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26372.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 3122002102001 its reverse (1002012002213), we get a palindrome (4124014104214).

The spelling of 3122002102001 in words is "three trillion, one hundred twenty-two billion, two million, one hundred two thousand, one".

Divisors: 1 101 1117 1153 24001 112817 116453 1287901 2424101 26809117 27673153 130078001 2707720817 2794988453 30910911901 3122002102001