Search a number
-
+
23032120321323 = 32191371063192479
BaseRepresentation
bin1010011110010100101010…
…10110011010010100101011
310000112211221001210011112100
411033022111112122110223
511004324240300240243
6120552450543344443
74565005261346451
oct517122526322453
9100484831704470
1023032120321323
11737a95a525613
1226bb9425b2123
13cb0bc5560319
14598a910189d1
1529e1b94320d3
hex14f29559a52b

23032120321323 has 48 divisors (see below), whose sum is σ = 35278915276800. Its totient is φ = 14438908264320.

The previous prime is 23032120321291. The next prime is 23032120321333. The reversal of 23032120321323 is 32312302123032.

23032120321323 is a `hidden beast` number, since 2 + 3 + 0 + 3 + 2 + 12 + 0 + 321 + 323 = 666.

It is not a de Polignac number, because 23032120321323 - 25 = 23032120321291 is a prime.

It is not an unprimeable number, because it can be changed into a prime (23032120321333) 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, 249006198 + ... + 249098676.

It is an arithmetic number, because the mean of its divisors is an integer number (734977401600).

Almost surely, 223032120321323 is an apocalyptic number.

23032120321323 is a deficient number, since it is larger than the sum of its proper divisors (12246794955477).

23032120321323 is a wasteful number, since it uses less digits than its factorization.

23032120321323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103272 (or 103269 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 23032120321323 its reverse (32312302123032), we get a palindrome (55344422444355).

The spelling of 23032120321323 in words is "twenty-three trillion, thirty-two billion, one hundred twenty million, three hundred twenty-one thousand, three hundred twenty-three".

Divisors: 1 3 9 19 57 137 171 411 1233 2603 7809 10631 23427 31893 92479 95679 201989 277437 605967 832311 1456447 1757101 1817901 4369341 5271303 12669623 13108023 15813909 27672493 38008869 83017479 114026607 240722837 249052437 722168511 983144249 2166505533 2949432747 8848298241 18679740731 56039222193 134690762113 168117666579 404072286339 1212216859017 2559124480147 7677373440441 23032120321323