Search a number
-
+
120133222123113 = 321729131206681879
BaseRepresentation
bin11011010100001010110010…
…000001111100011001101001
3120202100121211210201002112100
4123110022302001330121221
5111221230314330414423
61103300235041204013
734206224143432353
oct3324126201743151
9522317753632470
10120133222123113
1135307239027101
1211582759030609
13520568ba17914
14219469c4420d3
15dd4e1a2d7343
hex6d42b207c669

120133222123113 has 48 divisors (see below), whose sum is σ = 191519697283200. Its totient is φ = 72222915448320.

The previous prime is 120133222123111. The next prime is 120133222123127. The reversal of 120133222123113 is 311321222331021.

120133222123113 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 3 + 322 + 21 + 2 + 311 + 3 = 666.

It is not a de Polignac number, because 120133222123113 - 21 = 120133222123111 is a prime.

It is not an unprimeable number, because it can be changed into a prime (120133222123111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102759693 + ... + 103922186.

It is an arithmetic number, because the mean of its divisors is an integer number (3989993693400).

Almost surely, 2120133222123113 is an apocalyptic number.

It is an amenable number.

120133222123113 is a deficient number, since it is larger than the sum of its proper divisors (71386475160087).

120133222123113 is a wasteful number, since it uses less digits than its factorization.

120133222123113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206682062 (or 206682059 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 120133222123113 its reverse (311321222331021), we get a palindrome (431454444454134).

The spelling of 120133222123113 in words is "one hundred twenty trillion, one hundred thirty-three billion, two hundred twenty-two million, one hundred twenty-three thousand, one hundred thirteen".

Divisors: 1 3 9 17 29 51 87 131 153 261 393 493 1179 1479 2227 3799 4437 6681 11397 20043 34191 64583 193749 581247 206681879 620045637 1860136911 3513591943 5993774491 10540775829 17981323473 27075326149 31622327487 53943970419 81225978447 101894166347 243677935341 305682499041 460280544533 785184458321 917047497123 1380841633599 2355553374963 4142524900797 7066660124889 13348135791457 40044407374371 120133222123113