Search a number
-
+
133031133123 = 371311632411231
BaseRepresentation
bin111101111100101000…
…1011111111111000011
3110201101011112202120120
41323321101133333003
54134421432224443
6141040314511323
712416430655110
oct1737121377703
9421334482516
10133031133123
1151466674329
1221947a35543
13c710b69a25
14661dc97907
1536d9007083
hex1ef945ffc3

133031133123 has 64 divisors (see below), whose sum is σ = 206535081984. Its totient is φ = 74602944000.

The previous prime is 133031133113. The next prime is 133031133133. The reversal of 133031133123 is 321331130331.

It is an interprime number because it is at equal distance from previous prime (133031133113) and next prime (133031133133).

It is a de Polignac number, because none of the positive numbers 2k-133031133123 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 133031133093 and 133031133102.

It is not an unprimeable number, because it can be changed into a prime (133031133113) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 108066918 + ... + 108068148.

It is an arithmetic number, because the mean of its divisors is an integer number (3227110656).

Almost surely, 2133031133123 is an apocalyptic number.

133031133123 is a deficient number, since it is larger than the sum of its proper divisors (73503948861).

133031133123 is a wasteful number, since it uses less digits than its factorization.

133031133123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1776.

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 133031133123 its reverse (321331130331), we get a palindrome (454362263454).

The spelling of 133031133123 in words is "one hundred thirty-three billion, thirty-one million, one hundred thirty-three thousand, one hundred twenty-three".

Divisors: 1 3 7 21 131 163 241 393 489 723 917 1141 1231 1687 2751 3423 3693 5061 8617 21353 25851 31571 39283 64059 94713 117849 149471 161261 200653 220997 274981 296671 448413 483783 601959 662991 824943 890013 1128827 1404571 2076697 3386481 4213713 5146073 6230091 15438219 26285543 36022511 38863901 48357373 78856629 108067533 116591703 145072119 183998801 272047307 338501611 551996403 816141921 1015504833 6334815863 19004447589 44343711041 133031133123