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11132000220 = 223511531572027
BaseRepresentation
bin10100101111000010…
…01101011111011100
31001201210211012111110
422113201031133130
5140244243001340
65040341222020
7542601304065
oct122741153734
931653735443
1011132000220
1147a27a6590
1221a8101910
1310853936a3
1477863156c
15452465680
hex29784d7dc

11132000220 has 192 divisors, whose sum is σ = 34882638336. Its totient is φ = 2629585920.

The previous prime is 11132000203. The next prime is 11132000237. The reversal of 11132000220 is 2200023111.

It is an interprime number because it is at equal distance from previous prime (11132000203) and next prime (11132000237).

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

It is a junction number, because it is equal to n+sod(n) for n = 11132000196 and 11132000205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5490847 + ... + 5492873.

It is an arithmetic number, because the mean of its divisors is an integer number (181680408).

Almost surely, 211132000220 is an apocalyptic number.

11132000220 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 11132000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17441319168).

11132000220 is an abundant number, since it is smaller than the sum of its proper divisors (23750638116).

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

11132000220 is a wasteful number, since it uses less digits than its factorization.

11132000220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2260 (or 2258 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 11132000220 its reverse (2200023111), we get a palindrome (13332023331).

It can be divided in two parts, 11 and 132000220, that added together give a palindrome (132000231).

The spelling of 11132000220 in words is "eleven billion, one hundred thirty-two million, two hundred twenty", and thus it is an aban number.