Search a number
-
+
3032120313312 = 253195093265907
BaseRepresentation
bin101100000111111000011…
…101000100010111100000
3101201212102200022020212220
4230013320131010113200
5344134240300011222
610240534205151040
7432030524262306
oct54077035042740
911655380266786
103032120313312
11a69a07962562
1240b78ab5b480
1318cc0a275a5c
14a6a80b98276
1553d14598b5c
hex2c1f87445e0

3032120313312 has 96 divisors (see below), whose sum is σ = 8394689923200. Its totient is φ = 955630222848.

The previous prime is 3032120313307. The next prime is 3032120313353. The reversal of 3032120313312 is 2133130212303.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×30321203133122 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 704538 + ... + 2561369.

It is an arithmetic number, because the mean of its divisors is an integer number (87444686700).

Almost surely, 23032120313312 is an apocalyptic number.

3032120313312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3032120313312 is an abundant number, since it is smaller than the sum of its proper divisors (5362569609888).

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

3032120313312 is a wasteful number, since it uses less digits than its factorization.

3032120313312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3266448 (or 3266440 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 3032120313312 its reverse (2133130212303), we get a palindrome (5165250525615).

The spelling of 3032120313312 in words is "three trillion, thirty-two billion, one hundred twenty million, three hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 509 608 912 1018 1527 1824 2036 3054 4072 6108 8144 9671 12216 16288 19342 24432 29013 38684 48864 58026 77368 116052 154736 232104 309472 464208 928416 3265907 6531814 9797721 13063628 19595442 26127256 39190884 52254512 62052233 78381768 104509024 124104466 156763536 186156699 248208932 313527072 372313398 496417864 744626796 992835728 1489253592 1662346663 1985671456 2978507184 3324693326 4987039989 5957014368 6649386652 9974079978 13298773304 19948159956 26597546608 31584586597 39896319912 53195093216 63169173194 79792639824 94753759791 126338346388 159585279648 189507519582 252676692776 379015039164 505353385552 758030078328 1010706771104 1516060156656 3032120313312