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11212000020 = 22335133151521
BaseRepresentation
bin10100111000100100…
…11000101100010100
31001221101100121121000
422130102120230110
5140430233000040
65052320023300
7544562266464
oct123422305424
931841317530
1011212000020
114833977621
12220aa61b30
131098b23950
147850d7ba4
154594b9130
hex29c498b14

11212000020 has 192 divisors, whose sum is σ = 38777518080. Its totient is φ = 2670796800.

The previous prime is 11211999973. The next prime is 11212000087. The reversal of 11212000020 is 2000021211.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 11211999966 and 11212000011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 191860 + ... + 243380.

It is an arithmetic number, because the mean of its divisors is an integer number (201966240).

Almost surely, 211212000020 is an apocalyptic number.

11212000020 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 11212000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19388759040).

11212000020 is an abundant number, since it is smaller than the sum of its proper divisors (27565518060).

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

11212000020 is a wasteful number, since it uses less digits than its factorization.

11212000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51583 (or 51575 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 11212000020 its reverse (2000021211), we get a palindrome (13212021231).

The spelling of 11212000020 in words is "eleven billion, two hundred twelve million, twenty", and thus it is an aban number.