Search a number
-
+
23032300310532 = 223231101204339227
BaseRepresentation
bin1010011110010101000000…
…00101000001000000000100
310000112212101121110120022100
411033022200011001000010
511004330122334414112
6120552520453232100
74565012605261362
oct517124005010004
9100485347416270
1023032300310532
11737aa42090127
1226bb992932630
13cb0c2392c306
14598aaacac632
1529e1ca1372dc
hex14f2a0141004

23032300310532 has 72 divisors (see below), whose sum is σ = 60693654857472. Its totient is φ = 7356212136000.

The previous prime is 23032300310483. The next prime is 23032300310543. The reversal of 23032300310532 is 23501300323032.

23032300310532 is a `hidden beast` number, since 2 + 303 + 2 + 300 + 3 + 1 + 0 + 53 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 23032300310496 and 23032300310505.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102056898 + ... + 102282329.

It is an arithmetic number, because the mean of its divisors is an integer number (842967428576).

Almost surely, 223032300310532 is an apocalyptic number.

It is an amenable number.

23032300310532 is an abundant number, since it is smaller than the sum of its proper divisors (37661354546940).

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

23032300310532 is a wasteful number, since it uses less digits than its factorization.

23032300310532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204339369 (or 204339364 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 27.

Adding to 23032300310532 its reverse (23501300323032), we get a palindrome (46533600633564).

The spelling of 23032300310532 in words is "twenty-three trillion, thirty-two billion, three hundred million, three hundred ten thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 101 124 186 202 279 303 372 404 558 606 909 1116 1212 1818 3131 3636 6262 9393 12524 18786 28179 37572 56358 112716 204339227 408678454 613017681 817356908 1226035362 1839053043 2452070724 3678106086 6334516037 7356212172 12669032074 19003548111 20638261927 25338064148 38007096222 41276523854 57010644333 61914785781 76014192444 82553047708 114021288666 123829571562 185744357343 228042577332 247659143124 371488714686 639786119737 742977429372 1279572239474 1919358359211 2559144478948 3838716718422 5758075077633 7677433436844 11516150155266 23032300310532