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10010312001 = 323730060997
BaseRepresentation
bin10010101001010100…
…10011110101000001
3221211122011112112100
421110222103311001
5131000114441001
64333151421013
7503031151044
oct112452236501
927748145470
1010010312001
114277618628
121b34524769
13c36b8b051
146ad688c5b
153d8c48586
hex254a93d41

10010312001 has 12 divisors (see below), whose sum is σ = 14850133012. Its totient is φ = 6493175136.

The previous prime is 10010311973. The next prime is 10010312023. The reversal of 10010312001 is 10021301001.

It can be written as a sum of positive squares in 2 ways, for example, as 6431879601 + 3578432400 = 80199^2 + 59820^2 .

It is not a de Polignac number, because 10010312001 - 222 = 10006117697 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 (10010312041) 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, 15030166 + ... + 15030831.

Almost surely, 210010312001 is an apocalyptic number.

It is an amenable number.

10010312001 is a deficient number, since it is larger than the sum of its proper divisors (4839821011).

10010312001 is a wasteful number, since it uses less digits than its factorization.

10010312001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30061040 (or 30061037 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10010312001 its reverse (10021301001), we get a palindrome (20031613002).

The spelling of 10010312001 in words is "ten billion, ten million, three hundred twelve thousand, one".

Divisors: 1 3 9 37 111 333 30060997 90182991 270548973 1112256889 3336770667 10010312001