Search a number
-
+
32310230112 = 2532174164439
BaseRepresentation
bin11110000101110101…
…101111110001100000
310002101202101202022100
4132011311233301200
51012132404330422
622502040210400
72222451265416
oct360565576140
9102352352270
1032310230112
1112780312116
126318769a00
13307bbac774
1417c71bb2b6
15c9186b7ac
hex785d6fc60

32310230112 has 72 divisors (see below), whose sum is σ = 91936419120. Its totient is φ = 10763723520.

The previous prime is 32310230111. The next prime is 32310230129. The reversal of 32310230112 is 21103201323.

32310230112 is a `hidden beast` number, since 323 + 1 + 0 + 230 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-4 number, since 4×323102301124 (a number of 43 digits) contains 4444 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 not an unprimeable number, because it can be changed into a prime (32310230111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 469189 + ... + 533627.

It is an arithmetic number, because the mean of its divisors is an integer number (1276894710).

Almost surely, 232310230112 is an apocalyptic number.

32310230112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

32310230112 is an abundant number, since it is smaller than the sum of its proper divisors (59626189008).

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

32310230112 is a wasteful number, since it uses less digits than its factorization.

32310230112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66196 (or 66185 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 32310230112 its reverse (21103201323), we get a palindrome (53413431435).

The spelling of 32310230112 in words is "thirty-two billion, three hundred ten million, two hundred thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1741 3482 5223 6964 10446 13928 15669 20892 27856 31338 41784 55712 62676 64439 83568 125352 128878 167136 193317 250704 257756 386634 501408 515512 579951 773268 1031024 1159902 1546536 2062048 2319804 3093072 4639608 6186144 9279216 18558432 112188299 224376598 336564897 448753196 673129794 897506392 1009694691 1346259588 1795012784 2019389382 2692519176 3590025568 4038778764 5385038352 8077557528 10770076704 16155115056 32310230112