Search a number
-
+
2231332012130 = 2513232254133107
BaseRepresentation
bin100000011110000101110…
…000001000000001100010
321220022110100211122222012
4200132011300020001202
5243024231443342010
64425020524512522
7320131326110144
oct40360560100142
97808410748865
102231332012130
11790336828491
123005446ab742
1313254bbb13a0
1479dd5c70c94
153d096e91005
hex20785c08062

2231332012130 has 64 divisors (see below), whose sum is σ = 4513746601728. Its totient is φ = 787996957440.

The previous prime is 2231332012109. The next prime is 2231332012157. The reversal of 2231332012130 is 312102331322.

It is a super-3 number, since 3×22313320121303 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 2231332012096 and 2231332012105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67381037 + ... + 67414143.

It is an arithmetic number, because the mean of its divisors is an integer number (70527290652).

Almost surely, 22231332012130 is an apocalyptic number.

2231332012130 is an abundant number, since it is smaller than the sum of its proper divisors (2282414589598).

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

2231332012130 is a wasteful number, since it uses less digits than its factorization.

2231332012130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55691.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 2231332012130 its reverse (312102331322), we get a palindrome (2543434343452).

The spelling of 2231332012130 in words is "two trillion, two hundred thirty-one billion, three hundred thirty-two million, twelve thousand, one hundred thirty".

Divisors: 1 2 5 10 13 23 26 46 65 115 130 230 299 598 1495 2990 22541 33107 45082 66214 112705 165535 225410 293033 331070 430391 518443 586066 761461 860782 1036886 1465165 1522922 2151955 2592215 2930330 3807305 4303910 5184430 6739759 7614610 9898993 13479518 19797986 33698795 49494965 67397590 98989930 746264887 1492529774 3731324435 7462648870 9701443531 17164092401 19402887062 34328184802 48507217655 85820462005 97014435310 171640924010 223133201213 446266402426 1115666006065 2231332012130