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213521041320 = 23351779342011
BaseRepresentation
bin1100011011011011011…
…0001000011110101000
3202102010122111202021120
43012312312020132220
511444242341310240
6242031252535240
721266151622356
oct3066666103650
9672118452246
10213521041320
1182610074714
123546b921520
131719a632342
14a497b1c7d6
15584a4e8ad0
hex31b6d887a8

213521041320 has 32 divisors (see below), whose sum is σ = 640563124320. Its totient is φ = 56938944320.

The previous prime is 213521041319. The next prime is 213521041373. The reversal of 213521041320 is 23140125312.

213521041320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 7 ways as a sum of consecutive naturals, for example, 889670886 + ... + 889671125.

It is an arithmetic number, because the mean of its divisors is an integer number (20017597635).

Almost surely, 2213521041320 is an apocalyptic number.

213521041320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213521041320 is an abundant number, since it is smaller than the sum of its proper divisors (427042083000).

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

213521041320 is a wasteful number, since it uses less digits than its factorization.

213521041320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1779342025 (or 1779342021 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 213521041320 its reverse (23140125312), we get a palindrome (236661166632).

The spelling of 213521041320 in words is "two hundred thirteen billion, five hundred twenty-one million, forty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1779342011 3558684022 5338026033 7117368044 8896710055 10676052066 14234736088 17793420110 21352104132 26690130165 35586840220 42704208264 53380260330 71173680440 106760520660 213521041320