Search a number
-
+
2332333001130 = 23511173083134851
BaseRepresentation
bin100001111100001001111…
…000010100100110101010
322020222011022000111222120
4201330021320110212222
5301203104222014010
64543243050332110
7330335246256006
oct41741170244652
98228138014876
102332333001130
1181a1561a2420
1231803172a036
1313bc26bb61c2
1480c57c19706
1540a09004e70
hex21f09e149aa

2332333001130 has 128 divisors (see below), whose sum is σ = 6467821249536. Its totient is φ = 531977856000.

The previous prime is 2332333001099. The next prime is 2332333001137. The reversal of 2332333001130 is 311003332332.

It is a self number, because there is not a number n which added to its sum of digits gives 2332333001130.

It is not an unprimeable number, because it can be changed into a prime (2332333001137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17228205 + ... + 17363055.

It is an arithmetic number, because the mean of its divisors is an integer number (50529853512).

Almost surely, 22332333001130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2332333001130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3233910624768).

2332333001130 is an abundant number, since it is smaller than the sum of its proper divisors (4135488248406).

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

2332333001130 is a wasteful number, since it uses less digits than its factorization.

2332333001130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137972.

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 2332333001130 its reverse (311003332332), we get a palindrome (2643336333462).

The spelling of 2332333001130 in words is "two trillion, three hundred thirty-two billion, three hundred thirty-three million, one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 17 22 30 33 34 51 55 66 85 102 110 165 170 187 255 330 374 510 561 935 1122 1870 2805 3083 5610 6166 9249 15415 18498 30830 33913 46245 52411 67826 92490 101739 104822 134851 157233 169565 203478 262055 269702 314466 339130 404553 508695 524110 576521 674255 786165 809106 1017390 1153042 1348510 1483361 1572330 1729563 2022765 2292467 2882605 2966722 3459126 4045530 4450083 4584934 5765210 6877401 7416805 8647815 8900166 11462335 13754802 14833610 17295630 22250415 22924670 25217137 34387005 44500830 50434274 68774010 75651411 126085685 151302822 252171370 378257055 415745633 756514110 831491266 1247236899 2078728165 2494473798 4157456330 4573201963 6236184495 7067675761 9146403926 12472368990 13719605889 14135351522 21203027283 22866009815 27439211778 35338378805 42406054566 45732019630 68598029445 70676757610 77744433371 106015136415 137196058890 155488866742 212030272830 233233300113 388722166855 466466600226 777444333710 1166166500565 2332333001130