Search a number
-
+
2311301203232 = 25797121787407
BaseRepresentation
bin100001101000100100010…
…010011000010100100000
322011221212112222111002212
4201220210102120110200
5300332021102000412
64525444102101252
7325662125033660
oct41504422302440
98157775874085
102311301203232
1181124330136a
12313b4211a828
13139c54819c88
147dc208aa1a0
15401c78c6222
hex21a24498520

2311301203232 has 96 divisors (see below), whose sum is σ = 5258417730048. Its totient is φ = 979528974336.

The previous prime is 2311301203217. The next prime is 2311301203283. The reversal of 2311301203232 is 2323021031132.

It is a super-2 number, since 2×23113012032322 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2311301203198 and 2311301203207.

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 15 ways as a sum of consecutive naturals, for example, 26399273 + ... + 26486679.

It is an arithmetic number, because the mean of its divisors is an integer number (54775184688).

Almost surely, 22311301203232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2311301203232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2629208865024).

2311301203232 is an abundant number, since it is smaller than the sum of its proper divisors (2947116526816).

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

2311301203232 is a wasteful number, since it uses less digits than its factorization.

2311301203232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88738 (or 88730 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 2311301203232 its reverse (2323021031132), we get a palindrome (4634322234364).

The spelling of 2311301203232 in words is "two trillion, three hundred eleven billion, three hundred one million, two hundred three thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 97 112 194 224 388 679 776 1217 1358 1552 2434 2716 3104 4868 5432 8519 9736 10864 17038 19472 21728 34076 38944 68152 87407 118049 136304 174814 236098 272608 349628 472196 611849 699256 826343 944392 1223698 1398512 1652686 1888784 2447396 2797024 3305372 3777568 4894792 6610744 8478479 9789584 13221488 16956958 19579168 26442976 33913916 59349353 67827832 106374319 118698706 135655664 212748638 237397412 271311328 425497276 474794824 744620233 850994552 949589648 1489240466 1701989104 1899179296 2978480932 3403978208 5956961864 10318308943 11913923728 20636617886 23827847456 41273235772 72228162601 82546471544 144456325202 165092943088 288912650404 330185886176 577825300808 1155650601616 2311301203232