Search a number
-
+
130133312322 = 23137379289297
BaseRepresentation
bin111100100110010001…
…1001100001101000010
3110102220012210012202020
41321030203030031002
54113003111443242
6135441000302310
712254552622006
oct1711443141502
9412805705666
10130133312322
1150209953702
1221279471996
13c36b6acb70
14642708c706
1535b98e86ec
hex1e4c8cc342

130133312322 has 64 divisors (see below), whose sum is σ = 287724218880. Its totient is φ = 38992472064.

The previous prime is 130133312279. The next prime is 130133312327. The reversal of 130133312322 is 223213331031.

It is a junction number, because it is equal to n+sod(n) for n = 130133312292 and 130133312301.

It is not an unprimeable number, because it can be changed into a prime (130133312327) 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, 305178 + ... + 594474.

It is an arithmetic number, because the mean of its divisors is an integer number (4495690920).

Almost surely, 2130133312322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130133312322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143862109440).

130133312322 is an abundant number, since it is smaller than the sum of its proper divisors (157590906558).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

130133312322 is a wasteful number, since it uses less digits than its factorization.

130133312322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289467.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 130133312322 its reverse (223213331031), we get a palindrome (353346643353).

The spelling of 130133312322 in words is "one hundred thirty billion, one hundred thirty-three million, three hundred twelve thousand, three hundred twenty-two".

Divisors: 1 2 3 6 13 26 39 73 78 79 146 158 219 237 438 474 949 1027 1898 2054 2847 3081 5694 5767 6162 11534 17301 34602 74971 149942 224913 289297 449826 578594 867891 1735782 3760861 7521722 11282583 21118681 22565166 22854463 42237362 45708926 63356043 68563389 126712086 137126778 274542853 297108019 549085706 594216038 823628559 891324057 1647257118 1668375799 1782648114 3336751598 5005127397 10010254794 21688885387 43377770774 65066656161 130133312322