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13223130320 = 2451571052797
BaseRepresentation
bin11000101000010100…
…01111010011010000
31021010112122121201102
430110022033103100
5204040110132240
610024041323532
7645452516231
oct142412172320
937115577642
1013223130320
115676126584
1226904965a8
13132969718a
148d624d088
15525d29815
hex31428f4d0

13223130320 has 40 divisors (see below), whose sum is σ = 30939627624. Its totient is φ = 5255557632.

The previous prime is 13223130311. The next prime is 13223130391. The reversal of 13223130320 is 2303132231.

It can be written as a sum of positive squares in 4 ways, for example, as 4179881104 + 9043249216 = 64652^2 + 95096^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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 = 13223130292 and 13223130301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 513839 + ... + 538958.

Almost surely, 213223130320 is an apocalyptic number.

13223130320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13223130320 is an abundant number, since it is smaller than the sum of its proper divisors (17716497304).

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

13223130320 is a wasteful number, since it uses less digits than its factorization.

13223130320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052967 (or 1052961 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 13223130320 its reverse (2303132231), we get a palindrome (15526262551).

The spelling of 13223130320 in words is "thirteen billion, two hundred twenty-three million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 157 314 628 785 1256 1570 2512 3140 6280 12560 1052797 2105594 4211188 5263985 8422376 10527970 16844752 21055940 42111880 84223760 165289129 330578258 661156516 826445645 1322313032 1652891290 2644626064 3305782580 6611565160 13223130320