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13112031400 = 23521330716427
BaseRepresentation
bin11000011011000100…
…11011100010101000
31020211210121012122121
430031202123202220
5203323140001100
610005032201024
7642633266536
oct141542334250
936753535577
1013112031400
115619444296
12265b239174
13130c668880
148c55ad156
1551b1d151a
hex30d89b8a8

13112031400 has 96 divisors (see below), whose sum is σ = 32939454240. Its totient is φ = 4825301760.

The previous prime is 13112031349. The next prime is 13112031403. The reversal of 13112031400 is 413021131.

It is not an unprimeable number, because it can be changed into a prime (13112031403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 789987 + ... + 806413.

It is an arithmetic number, because the mean of its divisors is an integer number (343119315).

Almost surely, 213112031400 is an apocalyptic number.

13112031400 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 13112031400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16469727120).

13112031400 is an abundant number, since it is smaller than the sum of its proper divisors (19827422840).

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

13112031400 is a wasteful number, since it uses less digits than its factorization.

13112031400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16763 (or 16754 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 13112031400 its reverse (413021131), we get a palindrome (13525052531).

The spelling of 13112031400 in words is "thirteen billion, one hundred twelve million, thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 307 325 520 614 650 1228 1300 1535 2456 2600 3070 3991 6140 7675 7982 12280 15350 15964 16427 19955 30700 31928 32854 39910 61400 65708 79820 82135 99775 131416 159640 164270 199550 213551 328540 399100 410675 427102 657080 798200 821350 854204 1067755 1642700 1708408 2135510 3285400 4271020 5043089 5338775 8542040 10086178 10677550 20172356 21355100 25215445 40344712 42710200 50430890 65560157 100861780 126077225 131120314 201723560 252154450 262240628 327800785 504308900 524481256 655601570 1008617800 1311203140 1639003925 2622406280 3278007850 6556015700 13112031400