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11332101220 = 22511198389367
BaseRepresentation
bin10101000110111001…
…00010010001100100
31002020202100101110121
422203130202101210
5141202004214340
65112250131324
7550551161656
oct124334422144
932222311417
1011332101220
114895748410
122243120b44
1310b798494b
1479703c6d6
15464cde94a
hex2a3722464

11332101220 has 192 divisors, whose sum is σ = 28043366400. Its totient is φ = 3803120640.

The previous prime is 11332101217. The next prime is 11332101223. The reversal of 11332101220 is 2210123311.

It is an interprime number because it is at equal distance from previous prime (11332101217) and next prime (11332101223).

It is a junction number, because it is equal to n+sod(n) for n = 11332101194 and 11332101203.

It is not an unprimeable number, because it can be changed into a prime (11332101223) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30877477 + ... + 30877843.

It is an arithmetic number, because the mean of its divisors is an integer number (146059200).

Almost surely, 211332101220 is an apocalyptic number.

11332101220 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 11332101220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14021683200).

11332101220 is an abundant number, since it is smaller than the sum of its proper divisors (16711265180).

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

11332101220 is a wasteful number, since it uses less digits than its factorization.

11332101220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 11332101220 its reverse (2210123311), we get a palindrome (13542224531).

The spelling of 11332101220 in words is "eleven billion, three hundred thirty-two million, one hundred one thousand, two hundred twenty".