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11212331130 = 232571113177321
BaseRepresentation
bin10100111000100111…
…01001100001111010
31001221101222102210100
422130103221201322
5140430324044010
65052331100230
7544565146020
oct123423514172
931841872710
1011212331130
114834083370
12220aba1676
131098c0b580
14785182710
154595322c0
hex29c4e987a

11212331130 has 384 divisors, whose sum is σ = 41449314816. Its totient is φ = 2023833600.

The previous prime is 11212331099. The next prime is 11212331159. The reversal of 11212331130 is 3113321211.

11212331130 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 (18).

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 191 ways as a sum of consecutive naturals, for example, 1527870 + ... + 1535190.

It is an arithmetic number, because the mean of its divisors is an integer number (107940924).

Almost surely, 211212331130 is an apocalyptic number.

11212331130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11212331130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20724657408).

11212331130 is an abundant number, since it is smaller than the sum of its proper divisors (30236983686).

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

11212331130 is a wasteful number, since it uses less digits than its factorization.

11212331130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7382 (or 7379 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11212331130 its reverse (3113321211), we get a palindrome (14325652341).

The spelling of 11212331130 in words is "eleven billion, two hundred twelve million, three hundred thirty-one thousand, one hundred thirty".