Search a number
-
+
23230024001300 = 22521091296371861
BaseRepresentation
bin1010100100000101010010…
…10101000010011100010100
310001020202202022110202120102
411102002221111002130110
511021100042121020200
6121223420430153232
74615212436024334
oct522025125023424
9101222668422512
1023230024001300
117446885a41526
122732174052818
13cc677447c63c
145a44a692b0c4
152a43ed8196d5
hex1520a9542714

23230024001300 has 72 divisors (see below), whose sum is σ = 50473087453152. Its totient is φ = 9280230352000.

The previous prime is 23230024001279. The next prime is 23230024001311. The reversal of 23230024001300 is 310042003232.

It is a super-3 number, since 3×232300240013003 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent 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 23 ways as a sum of consecutive naturals, for example, 323227370 + ... + 323299230.

It is an arithmetic number, because the mean of its divisors is an integer number (701015103516).

Almost surely, 223230024001300 is an apocalyptic number.

23230024001300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23230024001300 is an abundant number, since it is smaller than the sum of its proper divisors (27243063451852).

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

23230024001300 is a wasteful number, since it uses less digits than its factorization.

23230024001300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75929 (or 75922 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 23230024001300 its reverse (310042003232), we get a palindrome (23540066004532).

The spelling of 23230024001300 in words is "twenty-three trillion, two hundred thirty billion, twenty-four million, one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1091 2182 2963 4364 5455 5926 10910 11852 14815 21820 27275 29630 54550 59260 71861 74075 109100 143722 148150 287444 296300 359305 718610 1437220 1796525 3232633 3593050 6465266 7186100 12930532 16163165 32326330 64652660 78400351 80815825 156800702 161631650 212924143 313601404 323263300 392001755 425848286 784003510 851696572 1064620715 1568007020 1960008775 2129241430 3920017550 4258482860 5323103575 7840035100 10646207150 21292414300 232300240013 464600480026 929200960052 1161501200065 2323002400130 4646004800260 5807506000325 11615012000650 23230024001300