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13201173040 = 2451116678999
BaseRepresentation
bin11000100101101100…
…11110101000110000
31021002000100001222211
430102312132220300
5204014000014130
610021534541504
7645065055646
oct142266365060
937060301884
1013201173040
115664799770
122685067894
131324c79bc3
148d3375196
15523e3da2a
hex312d9ea30

13201173040 has 80 divisors (see below), whose sum is σ = 33506784000. Its totient is φ = 4797013760.

The previous prime is 13201172939. The next prime is 13201173049. The reversal of 13201173040 is 4037110231.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (13201173049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1462461 + ... + 1471459.

It is an arithmetic number, because the mean of its divisors is an integer number (418834800).

Almost surely, 213201173040 is an apocalyptic number.

13201173040 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 13201173040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16753392000).

13201173040 is an abundant number, since it is smaller than the sum of its proper divisors (20305610960).

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

13201173040 is a wasteful number, since it uses less digits than its factorization.

13201173040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10690 (or 10684 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

Adding to 13201173040 its reverse (4037110231), we get a palindrome (17238283271).

The spelling of 13201173040 in words is "thirteen billion, two hundred one million, one hundred seventy-three thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 1667 3334 6668 8335 8999 13336 16670 17998 18337 26672 33340 35996 36674 44995 66680 71992 73348 89990 91685 98989 133360 143984 146696 179980 183370 197978 293392 359960 366740 395956 494945 719920 733480 791912 989890 1466960 1583824 1979780 3959560 7919120 15001333 30002666 60005332 75006665 120010664 150013330 165014663 240021328 300026660 330029326 600053320 660058652 825073315 1200106640 1320117304 1650146630 2640234608 3300293260 6600586520 13201173040