Search a number
-
+
12213332031330 = 234560672485279
BaseRepresentation
bin1011000110111010001101…
…0100010011011101100010
31121020120202002221011010000
42301232203110103131202
53100100401000000310
641550421031520430
72400245516242353
oct261564324233542
947216662834100
1012213332031330
113989710592511
121453038229116
136a7934b14ca1
143031b2579d2a
15162a6ba314c0
hexb1ba3513762

12213332031330 has 80 divisors (see below), whose sum is σ = 32845718949120. Its totient is φ = 3256350411168.

The previous prime is 12213332031287. The next prime is 12213332031331. The reversal of 12213332031330 is 3313023331221.

12213332031330 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 3 + 3 + 320 + 3 + 1 + 330 = 666.

12213332031330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122133320313302 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12213332031294 and 12213332031303.

It is not an unprimeable number, because it can be changed into a prime (12213332031331) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3671631 + ... + 6156909.

It is an arithmetic number, because the mean of its divisors is an integer number (410571486864).

Almost surely, 212213332031330 is an apocalyptic number.

12213332031330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12213332031330 is an abundant number, since it is smaller than the sum of its proper divisors (20632386917790).

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

12213332031330 is a wasteful number, since it uses less digits than its factorization.

12213332031330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2491365 (or 2491356 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 12213332031330 its reverse (3313023331221), we get a palindrome (15526355362551).

The spelling of 12213332031330 in words is "twelve trillion, two hundred thirteen billion, three hundred thirty-two million, thirty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 6067 12134 18201 30335 36402 54603 60670 91005 109206 163809 182010 273015 327618 491427 546030 819045 982854 1638090 2457135 2485279 4914270 4970558 7455837 12426395 14911674 22367511 24852790 37279185 44735022 67102533 74558370 111837555 134205066 201307599 223675110 335512665 402615198 671025330 1006537995 2013075990 15078187693 30156375386 45234563079 75390938465 90469126158 135703689237 150781876930 226172815395 271407378474 407111067711 452345630790 678518446185 814222135422 1221333203133 1357036892370 2035555338555 2442666406266 4071110677110 6106666015665 12213332031330