Search a number
-
+
10112221210212 = 22321125535912147
BaseRepresentation
bin1001001100100110111101…
…0110100110011001100100
31022210201102002020101210100
42103021233112212121210
52311134312112211322
633301253523024100
72062404161033262
oct223115726463144
938721362211710
1010112221210212
113249629280250
12117399650b030
135847698a1ca4
1426d611311432
15128097046dac
hex9326f5a6664

10112221210212 has 36 divisors (see below), whose sum is σ = 27885216065616. Its totient is φ = 3064309457520.

The previous prime is 10112221210211. The next prime is 10112221210229. The reversal of 10112221210212 is 21201212221101.

10112221210212 is a `hidden beast` number, since 10 + 1 + 12 + 221 + 210 + 212 = 666.

10112221210212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×101122212102123 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is not an unprimeable number, because it can be changed into a prime (10112221210211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12767955678 + ... + 12767956469.

It is an arithmetic number, because the mean of its divisors is an integer number (774589335156).

Almost surely, 210112221210212 is an apocalyptic number.

10112221210212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10112221210212 is an abundant number, since it is smaller than the sum of its proper divisors (17772994855404).

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

10112221210212 is a wasteful number, since it uses less digits than its factorization.

10112221210212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25535912168 (or 25535912163 counting only the distinct ones).

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

Adding to 10112221210212 its reverse (21201212221101), we get a palindrome (31313433431313).

The spelling of 10112221210212 in words is "ten trillion, one hundred twelve billion, two hundred twenty-one million, two hundred ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 25535912147 51071824294 76607736441 102143648588 153215472882 229823209323 280895033617 306430945764 459646418646 561790067234 842685100851 919292837292 1123580134468 1685370201702 2528055302553 3370740403404 5056110605106 10112221210212