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11314012320 = 25325134114741
BaseRepresentation
bin10101000100101111…
…00010000010100000
31002012111022101011100
422202113202002200
5141132341343240
65110402314400
7550241342442
oct124227420240
932174271140
1011314012320
114886512a06
122239058a00
1310b3cc0360
14794890492
15463419e30
hex2a25e20a0

11314012320 has 288 divisors, whose sum is σ = 42596006544. Its totient is φ = 2716876800.

The previous prime is 11314012301. The next prime is 11314012321. The reversal of 11314012320 is 2321041311.

11314012320 is a `hidden beast` number, since 1 + 1 + 31 + 401 + 232 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3064286736 + 8249725584 = 55356^2 + 90828^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×113140123202 (a number of 21 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 = 11314012293 and 11314012302.

It is not an unprimeable number, because it can be changed into a prime (11314012321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 760150 + ... + 774890.

Almost surely, 211314012320 is an apocalyptic number.

11314012320 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 11314012320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21298003272).

11314012320 is an abundant number, since it is smaller than the sum of its proper divisors (31281994224).

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

11314012320 is a wasteful number, since it uses less digits than its factorization.

11314012320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14816 (or 14805 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11314012320 its reverse (2321041311), we get a palindrome (13635053631).

The spelling of 11314012320 in words is "eleven billion, three hundred fourteen million, twelve thousand, three hundred twenty".