Search a number
-
+
2430100434102 = 2311219117524847
BaseRepresentation
bin100011010111001101010…
…001011110110010110110
322121022111212200201000120
4203113031101132302312
5304303321202342402
65100212301552410
7340366103605515
oct43271521366266
98538455621016
102430100434102
11857666384900
12332b77875706
13148208000a63
148589056267c
154332c23d3bc
hex235cd45ecb6

2430100434102 has 48 divisors (see below), whose sum is σ = 5370174222336. Its totient is φ = 732538562800.

The previous prime is 2430100434029. The next prime is 2430100434121. The reversal of 2430100434102 is 2014340010342.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8623758 + ... + 8901089.

It is an arithmetic number, because the mean of its divisors is an integer number (111878629632).

Almost surely, 22430100434102 is an apocalyptic number.

2430100434102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2430100434102 is an abundant number, since it is smaller than the sum of its proper divisors (2940073788234).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2430100434102 is a wasteful number, since it uses less digits than its factorization.

2430100434102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17525065 (or 17525054 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 2430100434102 its reverse (2014340010342), we get a palindrome (4444440444444).

The spelling of 2430100434102 in words is "two trillion, four hundred thirty billion, one hundred million, four hundred thirty-four thousand, one hundred two".

Divisors: 1 2 3 6 11 22 33 66 121 191 242 363 382 573 726 1146 2101 4202 6303 12606 23111 46222 69333 138666 17524847 35049694 52574541 105149082 192773317 385546634 578319951 1156639902 2120506487 3347245777 4241012974 6361519461 6694491554 10041737331 12723038922 20083474662 36819703547 73639407094 110459110641 220918221282 405016739017 810033478034 1215050217051 2430100434102