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11134131320 = 2351322396017
BaseRepresentation
bin10100101111010010…
…10101110001111000
31001201221211110211002
422113221111301320
5140300314200240
65040455024132
7542625361154
oct122751256170
931657743732
1011134131320
1147a3a21724
1221a896b048
13108595b6b0
14778a28064
15452736d15
hex297a55c78

11134131320 has 64 divisors (see below), whose sum is σ = 27100120320. Its totient is φ = 4092585984.

The previous prime is 11134131313. The next prime is 11134131367. The reversal of 11134131320 is 2313143111.

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 = 11134131292 and 11134131301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67952 + ... + 163968.

It is an arithmetic number, because the mean of its divisors is an integer number (423439380).

Almost surely, 211134131320 is an apocalyptic number.

11134131320 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 11134131320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13550060160).

11134131320 is an abundant number, since it is smaller than the sum of its proper divisors (15965989000).

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

11134131320 is a wasteful number, since it uses less digits than its factorization.

11134131320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96264 (or 96260 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 11134131320 its reverse (2313143111), we get a palindrome (13447274431).

The spelling of 11134131320 in words is "eleven billion, one hundred thirty-four million, one hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 223 260 446 520 892 1115 1784 2230 2899 4460 5798 8920 11596 14495 23192 28990 57980 96017 115960 192034 384068 480085 768136 960170 1248221 1920340 2496442 3840680 4992884 6241105 9985768 12482210 21411791 24964420 42823582 49928840 85647164 107058955 171294328 214117910 278353283 428235820 556706566 856471640 1113413132 1391766415 2226826264 2783532830 5567065660 11134131320