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11012312220 = 223571319237151
BaseRepresentation
bin10100100000110001…
…01000110010011100
31001102110121102102120
422100120220302130
5140023122442340
65020424022540
7536616052350
oct122030506234
931373542376
1011012312220
114741188188
122174001a50
1310666487a0
14766797460
15446bc24d0
hex290628c9c

11012312220 has 576 divisors, whose sum is σ = 41407543296. Its totient is φ = 2127513600.

The previous prime is 11012312197. The next prime is 11012312231. The reversal of 11012312220 is 2221321011.

It is a super-2 number, since 2×110123122202 (a number of 21 digits) contains 22 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 11012312220.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 72929145 + ... + 72929295.

It is an arithmetic number, because the mean of its divisors is an integer number (71888096).

Almost surely, 211012312220 is an apocalyptic number.

11012312220 is a gapful number since it is divisible by the number (10) 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 11012312220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20703771648).

11012312220 is an abundant number, since it is smaller than the sum of its proper divisors (30395231076).

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

11012312220 is a wasteful number, since it uses less digits than its factorization.

11012312220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 11012312220 its reverse (2221321011), we get a palindrome (13233633231).

The spelling of 11012312220 in words is "eleven billion, twelve million, three hundred twelve thousand, two hundred twenty".