Search a number
-
+
212211221011002 = 23219249965446751
BaseRepresentation
bin110000010000000101000110…
…011100100001101000111010
31000211101012020212022021012100
4300100011012130201220322
5210303332040034323002
62031200253350524230
762461516612314033
oct6020050634415072
91024335225267170
10212211221011002
1161687300a1aa64
121b973b58666676
139154580927bc5
143a59113a85a8a
15198017a5cd11c
hexc10146721a3a

212211221011002 has 72 divisors (see below), whose sum is σ = 486236643984000. Its totient is φ = 66879772038000.

The previous prime is 212211221010991. The next prime is 212211221011019. The reversal of 212211221011002 is 200110122112212.

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 35 ways as a sum of consecutive naturals, for example, 29480874 + ... + 35965877.

It is an arithmetic number, because the mean of its divisors is an integer number (6753286722000).

Almost surely, 2212211221011002 is an apocalyptic number.

212211221011002 is an abundant number, since it is smaller than the sum of its proper divisors (274025422972998).

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

212211221011002 is a wasteful number, since it uses less digits than its factorization.

212211221011002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65447296 (or 65447274 counting only the distinct ones).

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

Adding to 212211221011002 its reverse (200110122112212), we get a palindrome (412321343123214).

The spelling of 212211221011002 in words is "two hundred twelve trillion, two hundred eleven billion, two hundred twenty-one million, eleven thousand, two".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 361 499 722 998 1083 1497 2166 2994 3249 4491 6498 8982 9481 18962 28443 56886 85329 170658 180139 360278 540417 1080834 1621251 3242502 65446751 130893502 196340253 392680506 589020759 1178041518 1243488269 2486976538 3730464807 7460929614 11191394421 22382788842 23626277111 32657928749 47252554222 65315857498 70878831333 97973786247 141757662666 195947572494 212636493999 293921358741 425272987998 587842717482 620500646231 1241001292462 1861501938693 3723003877386 5584505816079 11169011632158 11789512278389 23579024556778 35368536835167 70737073670334 106105610505501 212211221011002