Search a number
-
+
313230013303230 = 2325174112379403369
BaseRepresentation
bin100011100111000011000101…
…1101011010000100110111110
31112002001111102012001120121100
41013032012023223100212332
5312023430031401200410
63030103514232113530
7122656056505202322
oct10716061353204676
91462044365046540
10313230013303230
1190894114690351
122b16a0a98358a6
13105a160445170a
14574c5b0a4b982
152632c713208c0
hex11ce18bad09be

313230013303230 has 192 divisors, whose sum is σ = 883409149022400. Its totient is φ = 76690776637440.

The previous prime is 313230013303219. The next prime is 313230013303237. The reversal of 313230013303230 is 32303310032313.

313230013303230 is a `hidden beast` number, since 3 + 1 + 3 + 2 + 3 + 0 + 0 + 1 + 330 + 323 + 0 = 666.

It is a super-2 number, since 2×3132300133032302 (a number of 30 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 313230013303194 and 313230013303203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313230013303237) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 776332986 + ... + 776736354.

It is an arithmetic number, because the mean of its divisors is an integer number (4601089317825).

Almost surely, 2313230013303230 is an apocalyptic number.

313230013303230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 313230013303230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441704574511200).

313230013303230 is an abundant number, since it is smaller than the sum of its proper divisors (570179135719170).

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

313230013303230 is a wasteful number, since it uses less digits than its factorization.

313230013303230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415819 (or 415816 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 313230013303230 its reverse (32303310032313), we get a palindrome (345533323335543).

The spelling of 313230013303230 in words is "three hundred thirteen trillion, two hundred thirty billion, thirteen million, three hundred three thousand, two hundred thirty".