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212210022011100 = 2235219293747751983
BaseRepresentation
bin110000010000000011111110…
…111110101101000011011100
31000211101002011022011202112120
4300100003332332231003130
5210303322111113323400
62031155534400102540
762461445113062351
oct6020037676550334
91024332138152476
10212210022011100
1161686846137653
121b973883004a50
13915441c3c39c9
143a5903c736628
15198010a1ddca0
hexc100fefad0dc

212210022011100 has 1152 divisors, whose sum is σ = 702924609945600. Its totient is φ = 49176046080000.

The previous prime is 212210022011083. The next prime is 212210022011173. The reversal of 212210022011100 is 1110220012212.

212210022011100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2122100220111003 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212210022011100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 215879981209 + ... + 215879982191.

It is an arithmetic number, because the mean of its divisors is an integer number (610177612800).

Almost surely, 2212210022011100 is an apocalyptic number.

212210022011100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212210022011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351462304972800).

212210022011100 is an abundant number, since it is smaller than the sum of its proper divisors (490714587934500).

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

212210022011100 is a wasteful number, since it uses less digits than its factorization.

212210022011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1883 (or 1876 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 212210022011100 its reverse (1110220012212), we get a palindrome (213320242023312).

The spelling of 212210022011100 in words is "two hundred twelve trillion, two hundred ten billion, twenty-two million, eleven thousand, one hundred".