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102042240201 = 32111030729699
BaseRepresentation
bin101111100001000110…
…0010000010011001001
3100202101111110220010200
41133002030100103021
53132440303141301
6114513315202413
710241462505366
oct1370214202311
9322344426120
10102042240201
113a304203420
12179398a6409
1398129561b5
144d2039346d
1529c3692c86
hex17c23104c9

102042240201 has 12 divisors (see below), whose sum is σ = 160793833200. Its totient is φ = 61843781880.

The previous prime is 102042240193. The next prime is 102042240203.

102042240201 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 422 + 40 + 201 = 666.

102042240201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 102042240201 - 23 = 102042240193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102042240203) 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, 515364751 + ... + 515364948.

It is an arithmetic number, because the mean of its divisors is an integer number (13399486100).

Almost surely, 2102042240201 is an apocalyptic number.

102042240201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102042240201 is a deficient number, since it is larger than the sum of its proper divisors (58751592999).

102042240201 is a wasteful number, since it uses less digits than its factorization.

102042240201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030729716 (or 1030729713 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

It can be divided in two parts, 102042 and 240201, that added together give a palindrome (342243).

The spelling of 102042240201 in words is "one hundred two billion, forty-two million, two hundred forty thousand, two hundred one".

Divisors: 1 3 9 11 33 99 1030729699 3092189097 9276567291 11338026689 34014080067 102042240201