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11323213020 = 223357219101223
BaseRepresentation
bin10101000101110101…
…01000010011011100
31002020010121211011000
422202322220103130
5141142220304040
65111331430300
7550412502600
oct124272502334
932203554130
1011323213020
114890727599
122240155390
1310b5b92162
14795ba7500
15464136130
hex2a2ea84dc

11323213020 has 576 divisors, whose sum is σ = 43758489600. Its totient is φ = 2416780800.

The previous prime is 11323212997. The next prime is 11323213049. The reversal of 11323213020 is 2031232311.

11323213020 is a `hidden beast` number, since 11 + 32 + 321 + 302 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11323212984 and 11323213002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 50776629 + ... + 50776851.

It is an arithmetic number, because the mean of its divisors is an integer number (75969600).

Almost surely, 211323213020 is an apocalyptic number.

11323213020 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 11323213020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21879244800).

11323213020 is an abundant number, since it is smaller than the sum of its proper divisors (32435276580).

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

11323213020 is a wasteful number, since it uses less digits than its factorization.

11323213020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 11323213020 its reverse (2031232311), we get a palindrome (13354445331).

The spelling of 11323213020 in words is "eleven billion, three hundred twenty-three million, two hundred thirteen thousand, twenty".