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113400420320 = 25511173790121
BaseRepresentation
bin110100110011100110…
…0010001011111100000
3101211201001220020010102
41221213030101133200
53324221001422240
6124032340321532
711123111445215
oct1514714213740
9354631806112
10113400420320
1144102643240
1219b896a32a8
13a902b3c135
1456baa5db0c
152e3a8d4815
hex1a673117e0

113400420320 has 96 divisors (see below), whose sum is σ = 309455881056. Its totient is φ = 38810828800.

The previous prime is 113400420299. The next prime is 113400420407. The reversal of 113400420320 is 23024004311.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 113400420292 and 113400420301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1865141 + ... + 1924980.

It is an arithmetic number, because the mean of its divisors is an integer number (3223498761).

Almost surely, 2113400420320 is an apocalyptic number.

113400420320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113400420320 is an abundant number, since it is smaller than the sum of its proper divisors (196055460736).

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

113400420320 is a wasteful number, since it uses less digits than its factorization.

113400420320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3790164 (or 3790156 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 113400420320 its reverse (23024004311), we get a palindrome (136424424631).

The spelling of 113400420320 in words is "one hundred thirteen billion, four hundred million, four hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 32 34 40 44 55 68 80 85 88 110 136 160 170 176 187 220 272 340 352 374 440 544 680 748 880 935 1360 1496 1760 1870 2720 2992 3740 5984 7480 14960 29920 3790121 7580242 15160484 18950605 30320968 37901210 41691331 60641936 64432057 75802420 83382662 121283872 128864114 151604840 166765324 208456655 257728228 303209680 322160285 333530648 416913310 515456456 606419360 644320570 667061296 708752627 833826620 1030912912 1288641140 1334122592 1417505254 1667653240 2061825824 2577282280 2835010508 3335306480 3543763135 5154564560 5670021016 6670612960 7087526270 10309129120 11340042032 14175052540 22680084064 28350105080 56700210160 113400420320