Search a number
-
+
10020002001 = 331230711321
BaseRepresentation
bin10010101010011110…
…10001100011010001
3221212022101211201020
421111033101203101
5131010110031001
64334135230053
7503206416552
oct112517214321
927768354636
1010020002001
114282036899
121b37818329
13c38ba1789
146b0a8c329
153d9a0e736
hex2553d18d1

10020002001 has 24 divisors (see below), whose sum is σ = 13851063072. Its totient is φ = 6442891200.

The previous prime is 10020001993. The next prime is 10020002009.

It is a happy number.

10020002001 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (10020001993) and next prime (10020002009).

It is not a de Polignac number, because 10020002001 - 23 = 10020001993 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10020002009) 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, 879421 + ... + 890741.

It is an arithmetic number, because the mean of its divisors is an integer number (577127628).

Almost surely, 210020002001 is an apocalyptic number.

It is an amenable number.

10020002001 is a deficient number, since it is larger than the sum of its proper divisors (3831061071).

10020002001 is a wasteful number, since it uses less digits than its factorization.

10020002001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11693 (or 11662 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

It can be divided in two parts, 1002000 and 2001, that added together give a palindrome (1004001).

The spelling of 10020002001 in words is "ten billion, twenty million, two thousand, one".

Divisors: 1 3 31 93 307 921 961 2883 9517 11321 28551 33963 295027 350951 885081 1052853 3475547 10426641 10879481 32638443 107741957 323225871 3340000667 10020002001