Search a number
-
+
220221020001012 = 223137313366170187
BaseRepresentation
bin110010000100101000110011…
…101010110101001011110100
31001212201220221112012221022120
4302010220303222311023310
5212331100122110013022
62100212050121155540
764246305112343262
oct6204506352651364
91055656845187276
10220221020001012
1164195234705448
122084838602bbb0
1395b59a368a5b4
143c54a7b8c1432
151a6d6c2947d5c
hexc84a33ab52f4

220221020001012 has 24 divisors (see below), whose sum is σ = 514223299472736. Its totient is φ = 73353541980768.

The previous prime is 220221020000981. The next prime is 220221020001067. The reversal of 220221020001012 is 210100020122022.

It is a super-2 number, since 2×2202210200010122 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 220221020000982 and 220221020001000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6683068618 + ... + 6683101569.

It is an arithmetic number, because the mean of its divisors is an integer number (21425970811364).

Almost surely, 2220221020001012 is an apocalyptic number.

It is an amenable number.

220221020001012 is an abundant number, since it is smaller than the sum of its proper divisors (294002279471724).

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

220221020001012 is a wasteful number, since it uses less digits than its factorization.

220221020001012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13366171567 (or 13366171565 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 220221020001012 its reverse (210100020122022), we get a palindrome (430321040123034).

The spelling of 220221020001012 in words is "two hundred twenty trillion, two hundred twenty-one billion, twenty million, one thousand, twelve".

Divisors: 1 2 3 4 6 12 1373 2746 4119 5492 8238 16476 13366170187 26732340374 40098510561 53464680748 80197021122 160394042244 18351751666751 36703503333502 55055255000253 73407006667004 110110510000506 220221020001012