Search a number
-
+
23210011146 = 23719614671021
BaseRepresentation
bin10101100111011011…
…001010101000001010
32012220112201201201110
4111213123022220022
5340013230324041
614355035031150
71451110560660
oct254733125012
965815651643
1023210011146
11993049a9a3
1245b8b9b4b6
13225b74010a
1411a2758c30
1590c995516
hex5676caa0a

23210011146 has 128 divisors (see below), whose sum is σ = 56936355840. Its totient is φ = 6160147200.

The previous prime is 23210011093. The next prime is 23210011151. The reversal of 23210011146 is 64111001232.

It is a super-3 number, since 3×232100111463 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22732116 + ... + 22733136.

It is an arithmetic number, because the mean of its divisors is an integer number (444815280).

Almost surely, 223210011146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23210011146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28468177920).

23210011146 is an abundant number, since it is smaller than the sum of its proper divisors (33726344694).

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

23210011146 is a wasteful number, since it uses less digits than its factorization.

23210011146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1580.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 23210011146 its reverse (64111001232), we get a palindrome (87321012378).

The spelling of 23210011146 in words is "twenty-three billion, two hundred ten million, eleven thousand, one hundred forty-six".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 61 114 122 133 183 266 366 399 427 467 798 854 934 1021 1159 1281 1401 2042 2318 2562 2802 3063 3269 3477 6126 6538 6954 7147 8113 8873 9807 14294 16226 17746 19399 19614 21441 24339 26619 28487 38798 42882 48678 53238 56974 58197 62111 62281 85461 116394 124222 124562 135793 170922 186333 186843 199409 271586 372666 373686 398818 407379 435967 476807 541253 598227 814758 871934 953614 1082506 1183339 1196454 1307901 1430421 1623759 2366678 2615802 2860842 3247518 3337649 3550017 3788771 6675298 7100034 7577542 8283373 9059333 10012947 11366313 16566746 18118666 20025894 22732626 24850119 27177999 29085227 49700238 54355998 58170454 63415331 87255681 126830662 174511362 190245993 203596589 380491986 407193178 552619313 610789767 1105238626 1221579534 1657857939 3315715878 3868335191 7736670382 11605005573 23210011146