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11202000313320 = 23325251419295873
BaseRepresentation
bin1010001100000010101100…
…1111111101101111101000
31110122220022122212210211100
42203000223033331233220
52432013144040011240
635454043343201400
72234214003415515
oct243005317755750
943586278783740
1011202000313320
113629818161113
12130b0332a6260
13633461c9a07b
142aa27319430c
151465ca553e30
hexa302b3fdbe8

11202000313320 has 192 divisors, whose sum is σ = 36638905867200. Its totient is φ = 2968187904000.

The previous prime is 11202000313279. The next prime is 11202000313367. The reversal of 11202000313320 is 2331300020211.

11202000313320 is a `hidden beast` number, since 1 + 12 + 0 + 20 + 0 + 0 + 313 + 320 = 666.

It is a super-2 number, since 2×112020003133202 (a number of 27 digits) contains 22 as substring.

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 = 11202000313293 and 11202000313302.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37712904 + ... + 38008776.

It is an arithmetic number, because the mean of its divisors is an integer number (190827634725).

Almost surely, 211202000313320 is an apocalyptic number.

11202000313320 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 11202000313320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18319452933600).

11202000313320 is an abundant number, since it is smaller than the sum of its proper divisors (25436905553880).

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

11202000313320 is a wasteful number, since it uses less digits than its factorization.

11202000313320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296560 (or 296553 counting only the distinct ones).

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

Adding to 11202000313320 its reverse (2331300020211), we get a palindrome (13533300333531).

The spelling of 11202000313320 in words is "eleven trillion, two hundred two billion, three hundred thirteen thousand, three hundred twenty".