Search a number
-
+
21212112020022 = 232711671907119783
BaseRepresentation
bin1001101001010110101000…
…11001101110001000110110
32210002212011120001222120100
410310223110121232020312
510240014401134120042
6113040413145214530
74316344624135440
oct464532431561066
983085146058510
1021212112020022
116839008267030
122467071491446
13bab3a7cc4ba1
14534959203490
1526bb9806d24c
hex134ad466e236

21212112020022 has 192 divisors, whose sum is σ = 58186459828224. Its totient is φ = 5424514729920.

The previous prime is 21212112019997. The next prime is 21212112020039. The reversal of 21212112020022 is 22002021121212.

It is a happy number.

21212112020022 is a `hidden beast` number, since 212 + 1 + 211 + 20 + 200 + 22 = 666.

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 = 21212112019977 and 21212112020004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 177027943 + ... + 177147725.

It is an arithmetic number, because the mean of its divisors is an integer number (303054478272).

Almost surely, 221212112020022 is an apocalyptic number.

21212112020022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 21212112020022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29093229914112).

21212112020022 is an abundant number, since it is smaller than the sum of its proper divisors (36974347808202).

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

21212112020022 is a wasteful number, since it uses less digits than its factorization.

21212112020022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121783 (or 121780 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21212112020022 its reverse (22002021121212), we get a palindrome (43214133141234).

The spelling of 21212112020022 in words is "twenty-one trillion, two hundred twelve billion, one hundred twelve million, twenty thousand, twenty-two".