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11314231220 = 2251135006297
BaseRepresentation
bin10101000100110000…
…10111011110110100
31002012111201111102202
422202120113132310
5141132420344340
65110411124032
7550243243565
oct124230273664
932174644382
1011314231220
114886652416
122239143618
1310b4068b96
1479490a16c
1546345ec15
hex2a26177b4

11314231220 has 24 divisors (see below), whose sum is σ = 23970154824. Its totient is φ = 4485641216.

The previous prime is 11314231211. The next prime is 11314231319. The reversal of 11314231220 is 2213241311.

11314231220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 345439396 + 10968791824 = 18586^2 + 104732^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11314231192 and 11314231201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2500889 + ... + 2505408.

It is an arithmetic number, because the mean of its divisors is an integer number (998756451).

Almost surely, 211314231220 is an apocalyptic number.

11314231220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11314231220 is an abundant number, since it is smaller than the sum of its proper divisors (12655923604).

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

11314231220 is a wasteful number, since it uses less digits than its factorization.

11314231220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5006419 (or 5006417 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 11314231220 its reverse (2213241311), we get a palindrome (13527472531).

The spelling of 11314231220 in words is "eleven billion, three hundred fourteen million, two hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 113 226 452 565 1130 2260 5006297 10012594 20025188 25031485 50062970 100125940 565711561 1131423122 2262846244 2828557805 5657115610 11314231220