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113430122400 = 2535276751793
BaseRepresentation
bin110100110100011110…
…1100100111110100000
3101211210010210020201110
41221220331210332200
53324301102404100
6124035321103320
711123622063210
oct1515075447640
9354703706643
10113430122400
114411838a911
1219b97627b40
13a90903b62a
1456c0992240
152e3d300250
hex1a68f64fa0

113430122400 has 144 divisors (see below), whose sum is σ = 421960117824. Its totient is φ = 25926881280.

The previous prime is 113430122387. The next prime is 113430122437. The reversal of 113430122400 is 4221034311.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 23 ways as a sum of consecutive naturals, for example, 3359097 + ... + 3392696.

It is an arithmetic number, because the mean of its divisors is an integer number (2930278596).

Almost surely, 2113430122400 is an apocalyptic number.

113430122400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113430122400 is an abundant number, since it is smaller than the sum of its proper divisors (308529995424).

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

113430122400 is a wasteful number, since it uses less digits than its factorization.

113430122400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6751823 (or 6751810 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 113430122400 its reverse (4221034311), we get a palindrome (117651156711).

The spelling of 113430122400 in words is "one hundred thirteen billion, four hundred thirty million, one hundred twenty-two thousand, four hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 50 56 60 70 75 80 84 96 100 105 112 120 140 150 160 168 175 200 210 224 240 280 300 336 350 400 420 480 525 560 600 672 700 800 840 1050 1120 1200 1400 1680 2100 2400 2800 3360 4200 5600 8400 16800 6751793 13503586 20255379 27007172 33758965 40510758 47262551 54014344 67517930 81021516 94525102 101276895 108028688 135035860 141787653 162043032 168794825 189050204 202553790 216057376 236312755 270071720 283575306 324086064 337589650 378100408 405107580 472625510 506384475 540143440 567150612 648172128 675179300 708938265 756200816 810215160 945251020 1012768950 1080286880 1134301224 1181563775 1350358600 1417876530 1512401632 1620430320 1890502040 2025537900 2268602448 2363127550 2700717200 2835753060 3240860640 3544691325 3781004080 4051075800 4537204896 4726255100 5401434400 5671506120 7089382650 7562008160 8102151600 9452510200 11343012240 14178765300 16204303200 18905020400 22686024480 28357530600 37810040800 56715061200 113430122400