Search a number
-
+
212212121101002 = 23411119086487711
BaseRepresentation
bin110000010000000101111100…
…000110000110001011001010
31000211101021120120222120120000
4300100011330012012023022
5210303340411000213002
62031200522542543430
762461551122046111
oct6020057406061312
91024337516876500
10212212121101002
11616877230039a0
121b974169b97b76
139154695253539
143a5919b426c78
1519801ce62661c
hexc1017c1862ca

212212121101002 has 40 divisors (see below), whose sum is σ = 518740740473472. Its totient is φ = 64306703363400.

The previous prime is 212212121100997. The next prime is 212212121101031. The reversal of 212212121101002 is 200101121212212.

212212121101002 is a `hidden beast` number, since 21 + 221 + 212 + 110 + 100 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 59543242074 + ... + 59543245637.

Almost surely, 2212212121101002 is an apocalyptic number.

212212121101002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

212212121101002 is an abundant number, since it is smaller than the sum of its proper divisors (306528619372470).

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

212212121101002 is a wasteful number, since it uses less digits than its factorization.

212212121101002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119086487736 (or 119086487727 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 212212121101002 its reverse (200101121212212), we get a palindrome (412313242313214).

The spelling of 212212121101002 in words is "two hundred twelve trillion, two hundred twelve billion, one hundred twenty-one million, one hundred one thousand, two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 297 594 891 1782 119086487711 238172975422 357259463133 714518926266 1071778389399 1309951364821 2143556778798 2619902729642 3215335168197 3929854094463 6430670336394 7859708188926 9646005504591 11789562283389 19292011009182 23579124566778 35368686850167 70737373700334 106106060550501 212212121101002