Search a number
-
+
12013101003222 = 2331143651463313
BaseRepresentation
bin1010111011010000010010…
…0111100011000111010110
31120112102220122221000122000
42232310010213203013112
53033310312324100342
641314424210020130
72346626561501124
oct256640447430726
946472818830560
1012013101003222
1139118003764a0
121420277277646
13691aa49968b7
142d761991a914
1515c74d17444c
hexaed049e31d6

12013101003222 has 64 divisors (see below), whose sum is σ = 29123399128320. Its totient is φ = 3640242384000.

The previous prime is 12013101003221. The next prime is 12013101003223. The reversal of 12013101003222 is 22230010131021.

12013101003222 is a `hidden beast` number, since 1 + 20 + 1 + 310 + 10 + 0 + 322 + 2 = 666.

12013101003222 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12013101003221) and next prime (12013101003223).

It is a super-2 number, since 2×120131010032222 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12013101003195 and 12013101003204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12013101003221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25697038 + ... + 26160350.

It is an arithmetic number, because the mean of its divisors is an integer number (455053111380).

Almost surely, 212013101003222 is an apocalyptic number.

12013101003222 is an abundant number, since it is smaller than the sum of its proper divisors (17110298125098).

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

12013101003222 is a wasteful number, since it uses less digits than its factorization.

12013101003222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506986 (or 506980 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12013101003222 its reverse (22230010131021), we get a palindrome (34243111134243).

The spelling of 12013101003222 in words is "twelve trillion, thirteen billion, one hundred one million, three thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 43651 87302 130953 261906 392859 463313 480161 785718 926626 960322 1178577 1389939 1440483 2357154 2779878 2880966 4169817 4321449 5096443 8339634 8642898 10192886 12509451 12964347 15289329 25018902 25928694 30578658 45867987 91735974 137603961 275207922 20224075763 40448151526 60672227289 121344454578 182016681867 222464833393 364033363734 444929666786 546050045601 667394500179 1092100091202 1334789000358 2002183500537 4004367001074 6006550501611 12013101003222