Search a number
-
+
310332302112 = 25372443148921
BaseRepresentation
bin1001000010000010011…
…11110010001100100000
31002200000120222100200010
410201001033302030200
520041030032131422
6354321550124520
731264216021200
oct4410117621440
91080016870603
10310332302112
1110a67a548858
12501897b0740
1323358616941
141103d486400
15811480bb0c
hex48413f2320

310332302112 has 144 divisors (see below), whose sum is σ = 949767329952. Its totient is φ = 88465628160.

The previous prime is 310332302089. The next prime is 310332302179. The reversal of 310332302112 is 211203233013.

It is a super-2 number, since 2×3103323021122 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2009412 + ... + 2158332.

It is an arithmetic number, because the mean of its divisors is an integer number (6595606458).

Almost surely, 2310332302112 is an apocalyptic number.

310332302112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 310332302112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474883664976).

310332302112 is an abundant number, since it is smaller than the sum of its proper divisors (639435027840).

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

310332302112 is a wasteful number, since it uses less digits than its factorization.

310332302112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149391 (or 149376 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 310332302112 its reverse (211203233013), we get a palindrome (521535535125).

The spelling of 310332302112 in words is "three hundred ten billion, three hundred thirty-two million, three hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 443 588 672 784 886 1176 1329 1568 1772 2352 2658 3101 3544 4704 5316 6202 7088 9303 10632 12404 14176 18606 21264 21707 24808 37212 42528 43414 49616 65121 74424 86828 99232 130242 148848 148921 173656 260484 297696 297842 347312 446763 520968 595684 694624 893526 1041936 1042447 1191368 1787052 2083872 2084894 2382736 3127341 3574104 4169788 4765472 6254682 7148208 7297129 8339576 12509364 14296416 14594258 16679152 21891387 25018728 29188516 33358304 43782774 50037456 58377032 65972003 87565548 100074912 116754064 131944006 175131096 197916009 233508128 263888012 350262192 395832018 461804021 527776024 700524384 791664036 923608042 1055552048 1385412063 1583328072 1847216084 2111104096 2770824126 3166656144 3232628147 3694432168 5541648252 6333312288 6465256294 7388864336 9697884441 11083296504 12930512588 14777728672 19395768882 22166593008 25861025176 38791537764 44333186016 51722050352 77583075528 103444100704 155166151056 310332302112