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113420344400 = 245211198712973
BaseRepresentation
bin110100110100001100…
…0010001110001010000
3101211202110101110211022
41221220120101301100
53324241102010100
6124034331335012
711123443010006
oct1515030216120
9354673343738
10113420344400
1144112911520
1219b942b1468
13a906cc6b2c
1456bd568a76
152e3c51ce85
hex1a68611c50

113420344400 has 120 divisors (see below), whose sum is σ = 297436941984. Its totient is φ = 41219827200.

The previous prime is 113420344391. The next prime is 113420344403. The reversal of 113420344400 is 4443024311.

It is a super-2 number, since 2×1134203444002 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 113420344400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113420344403) 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, 8736314 + ... + 8749286.

Almost surely, 2113420344400 is an apocalyptic number.

113420344400 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 113420344400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148718470992).

113420344400 is an abundant number, since it is smaller than the sum of its proper divisors (184016597584).

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

113420344400 is a wasteful number, since it uses less digits than its factorization.

113420344400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14989 (or 14978 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 113420344400 its reverse (4443024311), we get a palindrome (117863368711).

The spelling of 113420344400 in words is "one hundred thirteen billion, four hundred twenty million, three hundred forty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 1987 2200 3974 4400 7948 9935 12973 15896 19870 21857 25946 31792 39740 43714 49675 51892 64865 79480 87428 99350 103784 109285 129730 142703 158960 174856 198700 207568 218570 259460 285406 324325 349712 397400 437140 518920 546425 570812 648650 713515 794800 874280 1037840 1092850 1141624 1297300 1427030 1748560 2185700 2283248 2594600 2854060 3567575 4371400 5189200 5708120 7135150 8742800 11416240 14270300 25777351 28540600 51554702 57081200 103109404 128886755 206218808 257773510 283550861 412437616 515547020 567101722 644433775 1031094040 1134203444 1288867550 1417754305 2062188080 2268406888 2577735100 2835508610 4536813776 5155470200 5671017220 7088771525 10310940400 11342034440 14177543050 22684068880 28355086100 56710172200 113420344400