Search a number
-
+
12042024142131 = 331792838804329
BaseRepresentation
bin1010111100111100000010…
…0100100100010100110011
31120122012120100220201022000
42233033000210210110303
53034244031140022011
641340010213145043
72352002404225224
oct257170044442463
946565510821260
1012042024142131
113922aa2769885
1214259a962b183
13694733c20089
142d8ba0d2b24b
1515d392488356
hexaf3c0924533

12042024142131 has 32 divisors (see below), whose sum is σ = 18003093984000. Its totient is φ = 7954956869184.

The previous prime is 12042024142033. The next prime is 12042024142133. The reversal of 12042024142131 is 13124142024021.

12042024142131 is a `hidden beast` number, since 1 + 2 + 0 + 4 + 202 + 4 + 1 + 421 + 31 = 666.

It is not a de Polignac number, because 12042024142131 - 218 = 12042023879987 is a prime.

It is a super-2 number, since 2×120420241421312 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12042024142095 and 12042024142104.

It is not an unprimeable number, because it can be changed into a prime (12042024142133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3034426 + ... + 5769903.

It is an arithmetic number, because the mean of its divisors is an integer number (562596687000).

Almost surely, 212042024142131 is an apocalyptic number.

12042024142131 is a deficient number, since it is larger than the sum of its proper divisors (5961069841869).

12042024142131 is a wasteful number, since it uses less digits than its factorization.

12042024142131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8804800 (or 8804794 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 12042024142131 its reverse (13124142024021), we get a palindrome (25166166166152).

The spelling of 12042024142131 in words is "twelve trillion, forty-two billion, twenty-four million, one hundred forty-two thousand, one hundred thirty-one".

Divisors: 1 3 9 27 179 283 537 849 1611 2547 4833 7641 50657 151971 455913 1367739 8804329 26412987 79238961 237716883 1575974891 2491625107 4727924673 7474875321 14183774019 22424625963 42551322057 67273877889 446000894153 1338002682459 4014008047377 12042024142131