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13113120204 = 223217671931657
BaseRepresentation
bin11000011011001101…
…00101010111001100
31020211212122112012200
430031212211113030
5203323424321304
610005111401500
7642645453102
oct141546452714
936755575180
1013113120204
11561a018328
12265b683290
13130c95a332
148c57b3c72
1551b348e39
hex30d9a55cc

13113120204 has 144 divisors (see below), whose sum is σ = 35826886368. Its totient is φ = 4029087744.

The previous prime is 13113120151. The next prime is 13113120217. The reversal of 13113120204 is 40202131131.

13113120204 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7912944 + ... + 7914600.

It is an arithmetic number, because the mean of its divisors is an integer number (248797822).

Almost surely, 213113120204 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 13113120204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17913443184).

13113120204 is an abundant number, since it is smaller than the sum of its proper divisors (22713766164).

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

13113120204 is a wasteful number, since it uses less digits than its factorization.

13113120204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1944 (or 1939 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13113120204 its reverse (40202131131), we get a palindrome (53315251335).

The spelling of 13113120204 in words is "thirteen billion, one hundred thirteen million, one hundred twenty thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 67 68 102 134 153 193 201 204 268 306 386 402 579 603 612 772 804 1139 1158 1206 1657 1737 2278 2316 2412 3281 3314 3417 3474 4556 4971 6562 6628 6834 6948 9843 9942 10251 12931 13124 13668 14913 19686 19884 20502 25862 28169 29529 29826 38793 39372 41004 51724 56338 59058 59652 77586 84507 111019 112676 116379 118116 155172 169014 219827 222038 232758 253521 319801 333057 338028 439654 444076 465516 507042 639602 659481 666114 879308 959403 999171 1014084 1279204 1318962 1332228 1887323 1918806 1978443 1998342 2637924 2878209 3774646 3837612 3956886 3996684 5436617 5661969 5756418 7549292 7913772 10873234 11323938 11512836 16309851 16985907 21426667 21746468 22647876 32619702 33971814 42853334 48929553 64280001 65239404 67943628 85706668 97859106 128560002 192840003 195718212 257120004 364253339 385680006 728506678 771360012 1092760017 1457013356 2185520034 3278280051 4371040068 6556560102 13113120204