Search a number
-
+
2231032123131 = 372139918895743
BaseRepresentation
bin100000011101110011111…
…000001000111011111011
321220021200110112201121020
4200131303320020323323
5243023123210420011
64424531053113523
7320121025102200
oct40356370107373
97807613481536
102231032123131
117901a251a439
123004801888a3
13132501a21c86
1479da80c9ca7
153d07a9a5006
hex20773e08efb

2231032123131 has 48 divisors (see below), whose sum is σ = 3465286272000. Its totient is φ = 1273068099072.

The previous prime is 2231032123109. The next prime is 2231032123139. The reversal of 2231032123131 is 1313212301322.

It is not a de Polignac number, because 2231032123131 - 27 = 2231032123003 is a prime.

It is a super-3 number, since 3×22310321231313 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (2231032123139) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 388475646 + ... + 388481388.

It is an arithmetic number, because the mean of its divisors is an integer number (72193464000).

Almost surely, 22231032123131 is an apocalyptic number.

2231032123131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2231032123131 is a deficient number, since it is larger than the sum of its proper divisors (1234254148869).

2231032123131 is a wasteful number, since it uses less digits than its factorization.

2231032123131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9048 (or 9041 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 2231032123131 its reverse (1313212301322), we get a palindrome (3544244424453).

The spelling of 2231032123131 in words is "two trillion, two hundred thirty-one billion, thirty-two million, one hundred twenty-three thousand, one hundred thirty-one".

Divisors: 1 3 7 21 49 147 1399 1889 4197 5667 5743 9793 13223 17229 29379 39669 40201 68551 92561 120603 205653 277683 281407 844221 2642711 7928133 8034457 10848527 18498977 24103371 32545581 55496931 56241199 75939689 129492839 168723597 227819067 388478517 393688393 531577823 1181065179 1594733469 15177089273 45531267819 106239624911 318718874733 743677374377 2231032123131