Search a number
-
+
113402420000 = 255423246527
BaseRepresentation
bin110100110011101001…
…1111001101100100000
3101211201012122211011122
41221213103321230200
53324222004420000
6124032451231412
711123134444202
oct1514723715440
9354635584148
10113402420000
1144103789671
1219b8a2a8568
13a90338c38c
1456bb020772
152e3ab7c085
hex1a674f9b20

113402420000 has 120 divisors (see below), whose sum is σ = 291118012416. Its totient is φ = 43388576000.

The previous prime is 113402419997. The next prime is 113402420017. The reversal of 113402420000 is 24204311.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 336737 + ... + 583263.

Almost surely, 2113402420000 is an apocalyptic number.

113402420000 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 113402420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145559006208).

113402420000 is an abundant number, since it is smaller than the sum of its proper divisors (177715592416).

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

113402420000 is an equidigital number, since it uses as much as digits as its factorization.

113402420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246580 (or 246557 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 113402420000 its reverse (24204311), we get a palindrome (113426624311).

The spelling of 113402420000 in words is "one hundred thirteen billion, four hundred two million, four hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 80 92 100 115 125 160 184 200 230 250 368 400 460 500 575 625 736 800 920 1000 1150 1250 1840 2000 2300 2500 2875 3680 4000 4600 5000 5750 9200 10000 11500 14375 18400 20000 23000 28750 46000 57500 92000 115000 230000 246527 460000 493054 986108 1232635 1972216 2465270 3944432 4930540 5670121 6163175 7888864 9861080 11340242 12326350 19722160 22680484 24652700 28350605 30815875 39444320 45360968 49305400 56701210 61631750 90721936 98610800 113402420 123263500 141753025 154079375 181443872 197221600 226804840 246527000 283506050 308158750 453609680 493054000 567012100 616317500 708765125 907219360 986108000 1134024200 1232635000 1417530250 2268048400 2465270000 2835060500 3543825625 4536096800 4930540000 5670121000 7087651250 11340242000 14175302500 22680484000 28350605000 56701210000 113402420000