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13112213504 = 2151330781
BaseRepresentation
bin11000011011000110…
…01000000000000000
31020211210221110110012
430031203020000000
5203323211313004
610005040124052
7642634655465
oct141543100000
936753843405
1013112213504
115619559095
12265b306628
13130c700720
148c561966c
1551b21a46e
hex30d8c8000

13112213504 has 64 divisors (see below), whose sum is σ = 28242177180. Its totient is φ = 6051594240.

The previous prime is 13112213479. The next prime is 13112213507. The reversal of 13112213504 is 40531221131.

It can be written as a sum of positive squares in 2 ways, for example, as 11588091904 + 1524121600 = 107648^2 + 39040^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 13112213504.

It is not an unprimeable number, because it can be changed into a prime (13112213507) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 410594 + ... + 441374.

Almost surely, 213112213504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13112213504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14121088590).

13112213504 is an abundant number, since it is smaller than the sum of its proper divisors (15129963676).

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

13112213504 is an frugal number, since it uses more digits than its factorization.

13112213504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30824 (or 30796 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

Adding to 13112213504 its reverse (40531221131), we get a palindrome (53643434635).

The spelling of 13112213504 in words is "thirteen billion, one hundred twelve million, two hundred thirteen thousand, five hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 1024 1664 2048 3328 4096 6656 8192 13312 16384 26624 30781 32768 53248 61562 106496 123124 212992 246248 400153 425984 492496 800306 984992 1600612 1969984 3201224 3939968 6402448 7879936 12804896 15759872 25609792 31519744 51219584 63039488 102439168 126078976 204878336 252157952 409756672 504315904 819513344 1008631808 1639026688 3278053376 6556106752 13112213504