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11210211012 = 223711213372293
BaseRepresentation
bin10100111000010111…
…00011111011000100
31001221020222201112110
422130023203323010
5140424303223022
65052213421020
7544541135640
oct123413437304
931836881473
1011210211012
114832965500
12220a33a770
131098648570
14784b8dc20
1545926400c
hex29c2e3ec4

11210211012 has 288 divisors, whose sum is σ = 36358395136. Its totient is φ = 2613980160.

The previous prime is 11210210993. The next prime is 11210211073. The reversal of 11210211012 is 21011201211.

11210211012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4887738 + ... + 4890030.

Almost surely, 211210211012 is an apocalyptic number.

11210211012 is a gapful number since it is divisible by the number (12) 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 11210211012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18179197568).

11210211012 is an abundant number, since it is smaller than the sum of its proper divisors (25148184124).

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

11210211012 is a wasteful number, since it uses less digits than its factorization.

11210211012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2379 (or 2366 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11210211012 its reverse (21011201211), we get a palindrome (32221412223).

It can be divided in two parts, 11210 and 211012, that added together give a palindrome (222222).

The spelling of 11210211012 in words is "eleven billion, two hundred ten million, two hundred eleven thousand, twelve".