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11233201320 = 233251141431609
BaseRepresentation
bin10100111011000110…
…10000110010101000
31001222212020202022100
422131203100302220
5141001144420240
65054354253400
7545240431035
oct123543206250
931885222270
1011233201320
114844938460
122215b87260
1310a0337ab3
14787c5638c
1545b2a5e30
hex29d8d0ca8

11233201320 has 384 divisors, whose sum is σ = 41772931200. Its totient is φ = 2593382400.

The previous prime is 11233201283. The next prime is 11233201339. The reversal of 11233201320 is 2310233211.

11233201320 is a `hidden beast` number, since 1 + 1 + 23 + 320 + 1 + 320 = 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 = 11233201293 and 11233201302.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6980676 + ... + 6982284.

It is an arithmetic number, because the mean of its divisors is an integer number (108783675).

Almost surely, 211233201320 is an apocalyptic number.

11233201320 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 11233201320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20886465600).

11233201320 is an abundant number, since it is smaller than the sum of its proper divisors (30539729880).

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

11233201320 is a wasteful number, since it uses less digits than its factorization.

11233201320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1721 (or 1714 counting only the distinct ones).

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

Adding to 11233201320 its reverse (2310233211), we get a palindrome (13543434531).

The spelling of 11233201320 in words is "eleven billion, two hundred thirty-three million, two hundred one thousand, three hundred twenty".