Search a number
-
+
212000111400 = 2335271119241513
BaseRepresentation
bin1100010101110000110…
…0001111101100101000
3202021012122121111122210
43011130030033230220
511433134012031100
6241220322045120
721213363133350
oct3053414175450
9667178544583
10212000111400
11819aa599540
12351064a97a0
1316cb74c25cc
14a391b2bb60
1557abc17c50
hex315c30fb28

212000111400 has 384 divisors, whose sum is σ = 862494796800. Its totient is φ = 41733273600.

The previous prime is 212000111399. The next prime is 212000111461. The reversal of 212000111400 is 4111000212.

It is a happy number.

It is a super-2 number, since 2×2120001114002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 757044 + ... + 998556.

It is an arithmetic number, because the mean of its divisors is an integer number (2246080200).

Almost surely, 2212000111400 is an apocalyptic number.

212000111400 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 212000111400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431247398400).

212000111400 is an abundant number, since it is smaller than the sum of its proper divisors (650494685400).

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

212000111400 is a wasteful number, since it uses less digits than its factorization.

212000111400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241569 (or 241560 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 212000111400 its reverse (4111000212), we get a palindrome (216111111612).

The spelling of 212000111400 in words is "two hundred twelve billion, one hundred eleven thousand, four hundred".