Search a number
-
+
232300111312 = 24195101149803
BaseRepresentation
bin1101100001011000101…
…0100110010111010000
3211012121101122100102101
43120112022212113100
512301222312030222
6254414525330144
722532420236513
oct3302612462720
9735541570371
10232300111312
118a5773a1975
1239030a06954
1318ba1097c89
14b359bc6d7a
156098e92927
hex36162a65d0

232300111312 has 40 divisors (see below), whose sum is σ = 473866004960. Its totient is φ = 110014588800.

The previous prime is 232300111289. The next prime is 232300111313. The reversal of 232300111312 is 213111003232.

It is a super-4 number, since 4×2323001113124 (a number of 47 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 232300111312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232300111313) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1475803 + ... + 1625605.

It is an arithmetic number, because the mean of its divisors is an integer number (11846650124).

Almost surely, 2232300111312 is an apocalyptic number.

It is an amenable number.

232300111312 is an abundant number, since it is smaller than the sum of its proper divisors (241565893648).

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

232300111312 is a wasteful number, since it uses less digits than its factorization.

232300111312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154931 (or 154925 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 232300111312 its reverse (213111003232), we get a palindrome (445411114544).

The spelling of 232300111312 in words is "two hundred thirty-two billion, three hundred million, one hundred eleven thousand, three hundred twelve".

Divisors: 1 2 4 8 16 19 38 76 152 304 5101 10202 20404 40808 81616 96919 149803 193838 299606 387676 599212 775352 1198424 1550704 2396848 2846257 5692514 11385028 22770056 45540112 764145103 1528290206 3056580412 6113160824 12226321648 14518756957 29037513914 58075027828 116150055656 232300111312