Search a number
-
+
23302023102 = 232294310310079
BaseRepresentation
bin10101101100111010…
…001010011110111110
32020010221212102101200
4111230322022132332
5340210304214402
614412123120330
71453305633261
oct255472123676
966127772350
1023302023102
119978425936
1246239730a6
132274817a67
1411b0a6acd8
15915abd21c
hex56ce8a7be

23302023102 has 96 divisors (see below), whose sum is σ = 53967513600. Its totient is φ = 7253257536.

The previous prime is 23302023083. The next prime is 23302023113. The reversal of 23302023102 is 20132020332.

It is a happy number.

23302023102 is a `hidden beast` number, since 2 + 330 + 20 + 2 + 310 + 2 = 666.

It is a super-2 number, since 2×233020231022 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2306899 + ... + 2316977.

It is an arithmetic number, because the mean of its divisors is an integer number (562161600).

Almost surely, 223302023102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23302023102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26983756800).

23302023102 is an abundant number, since it is smaller than the sum of its proper divisors (30665490498).

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

23302023102 is a wasteful number, since it uses less digits than its factorization.

23302023102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10262 (or 10259 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 23302023102 its reverse (20132020332), we get a palindrome (43434043434).

The spelling of 23302023102 in words is "twenty-three billion, three hundred two million, twenty-three thousand, one hundred two".

Divisors: 1 2 3 6 9 18 29 43 58 86 87 103 129 174 206 258 261 309 387 522 618 774 927 1247 1854 2494 2987 3741 4429 5974 7482 8858 8961 10079 11223 13287 17922 20158 22446 26574 26883 30237 39861 53766 60474 79722 90711 128441 181422 256882 292291 385323 433397 584582 770646 866794 876873 1038137 1155969 1300191 1753746 2076274 2311938 2600382 2630619 3114411 3900573 5261238 6228822 7801146 9343233 12568513 18686466 25137026 30105973 37705539 44639891 60211946 75411078 89279782 90317919 113116617 133919673 180635838 226233234 267839346 270953757 401759019 541907514 803518038 1294556839 2589113678 3883670517 7767341034 11651011551 23302023102