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13120331200 = 265213162597
BaseRepresentation
bin11000011100000100…
…00101110111000000
31020212101012212211121
430032002011313000
5203332301044300
610005530122024
7643063655314
oct141602056700
936771185747
1013120331200
1156230a3029
122661b80314
1313112b35b2
148c672db44
1551bcc081a
hex30e085dc0

13120331200 has 84 divisors (see below), whose sum is σ = 32531179032. Its totient is φ = 5207987200.

The previous prime is 13120331197. The next prime is 13120331243. The reversal of 13120331200 is 213302131.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 178302 + ... + 240898.

Almost surely, 213120331200 is an apocalyptic number.

13120331200 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 13120331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16265589516).

13120331200 is an abundant number, since it is smaller than the sum of its proper divisors (19410847832).

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

13120331200 is a wasteful number, since it uses less digits than its factorization.

13120331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62750 (or 62735 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 13120331200 its reverse (213302131), we get a palindrome (13333633331).

The spelling of 13120331200 in words is "thirteen billion, one hundred twenty million, three hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 131 160 200 262 320 400 524 655 800 1048 1310 1600 2096 2620 3275 4192 5240 6550 8384 10480 13100 20960 26200 41920 52400 62597 104800 125194 209600 250388 312985 500776 625970 1001552 1251940 1564925 2003104 2503880 3129850 4006208 5007760 6259700 8200207 10015520 12519400 16400414 20031040 25038800 32800828 41001035 50077600 65601656 82002070 100155200 131203312 164004140 205005175 262406624 328008280 410010350 524813248 656016560 820020700 1312033120 1640041400 2624066240 3280082800 6560165600 13120331200