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13234005200 = 2452132545001
BaseRepresentation
bin11000101001100111…
…01110010011010000
31021011022010010020202
430110303232103100
5204100401131300
610025110354332
7645644121353
oct142463562320
937138103222
1013234005200
115681283a89
12269405b9a8
13132ba04010
148d788029a
15526c76ad5
hex314cee4d0

13234005200 has 60 divisors (see below), whose sum is σ = 34240456908. Its totient is φ = 4886400000.

The previous prime is 13234005179. The next prime is 13234005217. The reversal of 13234005200 is 250043231.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1839723664 + 11394281536 = 42892^2 + 106744^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1267301 + ... + 1277700.

Almost surely, 213234005200 is an apocalyptic number.

13234005200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13234005200 is an abundant number, since it is smaller than the sum of its proper divisors (21006451708).

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

13234005200 is a wasteful number, since it uses less digits than its factorization.

13234005200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2545032 (or 2545021 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 13234005200 its reverse (250043231), we get a palindrome (13484048431).

The spelling of 13234005200 in words is "thirteen billion, two hundred thirty-four million, five thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 200 208 260 325 400 520 650 1040 1300 2600 5200 2545001 5090002 10180004 12725005 20360008 25450010 33085013 40720016 50900020 63625025 66170026 101800040 127250050 132340052 165425065 203600080 254500100 264680104 330850130 509000200 529360208 661700260 827125325 1018000400 1323400520 1654250650 2646801040 3308501300 6617002600 13234005200