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11314031220 = 22325127494927
BaseRepresentation
bin10101000100101111…
…00110101001110100
31002012111100100002100
422202113212221310
5141132342444340
65110402542100
7550241451522
oct124227465164
932174310070
1011314031220
114886526128
122239067930
1310b3cc8b3b
14794897312
15463420830
hex2a25e6a74

11314031220 has 72 divisors (see below), whose sum is σ = 34589528064. Its totient is φ = 2993312448.

The previous prime is 11314031191. The next prime is 11314031227. The reversal of 11314031220 is 2213041311.

11314031220 is a `hidden beast` number, since 11 + 31 + 403 + 1 + 220 = 666.

11314031220 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 11314031193 and 11314031202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11314031227) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 224604 + ... + 270323.

It is an arithmetic number, because the mean of its divisors is an integer number (480410112).

Almost surely, 211314031220 is an apocalyptic number.

11314031220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11314031220 is an abundant number, since it is smaller than the sum of its proper divisors (23275496844).

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

11314031220 is a wasteful number, since it uses less digits than its factorization.

11314031220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495069 (or 495064 counting only the distinct ones).

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

Adding to 11314031220 its reverse (2213041311), we get a palindrome (13527072531).

The spelling of 11314031220 in words is "eleven billion, three hundred fourteen million, thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 127 180 254 381 508 635 762 1143 1270 1524 1905 2286 2540 3810 4572 5715 7620 11430 22860 494927 989854 1484781 1979708 2474635 2969562 4454343 4949270 5939124 7423905 8908686 9898540 14847810 17817372 22271715 29695620 44543430 62855729 89086860 125711458 188567187 251422916 314278645 377134374 565701561 628557290 754268748 942835935 1131403122 1257114580 1885671870 2262806244 2828507805 3771343740 5657015610 11314031220