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113453130400 = 25522331198901
BaseRepresentation
bin110100110101001010…
…1010110001010100000
3101211211202002011202121
41221222111112022200
53324323000133100
6124041502154024
711124321461011
oct1515225261240
9354752064677
10113453130400
114412a375095
1219ba3282914
13a910a35c2c
1456c3a61008
152e4034751a
hex1a6a5562a0

113453130400 has 144 divisors (see below), whose sum is σ = 298333905408. Its totient is φ = 42007680000.

The previous prime is 113453130341. The next prime is 113453130491. The reversal of 113453130400 is 4031354311.

It is a super-2 number, since 2×1134531304002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 470950 + ... + 669850.

It is an arithmetic number, because the mean of its divisors is an integer number (2071763232).

Almost surely, 2113453130400 is an apocalyptic number.

113453130400 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 113453130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149166952704).

113453130400 is an abundant number, since it is smaller than the sum of its proper divisors (184880775008).

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

113453130400 is a wasteful number, since it uses less digits than its factorization.

113453130400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198975 (or 198962 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

Adding to 113453130400 its reverse (4031354311), we get a palindrome (117484484711).

The spelling of 113453130400 in words is "one hundred thirteen billion, four hundred fifty-three million, one hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 31 32 40 46 50 62 80 92 100 115 124 155 160 184 200 230 248 310 368 400 460 496 575 620 713 736 775 800 920 992 1150 1240 1426 1550 1840 2300 2480 2852 3100 3565 3680 4600 4960 5704 6200 7130 9200 11408 12400 14260 17825 18400 22816 24800 28520 35650 57040 71300 114080 142600 198901 285200 397802 570400 795604 994505 1591208 1989010 3182416 3978020 4574723 4972525 6165931 6364832 7956040 9149446 9945050 12331862 15912080 18298892 19890100 22873615 24663724 30829655 31824160 36597784 39780200 45747230 49327448 61659310 73195568 79560400 91494460 98654896 114368075 123318620 141816413 146391136 154148275 159120800 182988920 197309792 228736150 246637240 283632826 308296550 365977840 457472300 493274480 567265652 616593100 709082065 731955680 914944600 986548960 1134531304 1233186200 1418164130 1829889200 2269062608 2466372400 2836328260 3545410325 3659778400 4538125216 4932744800 5672656520 7090820650 11345313040 14181641300 22690626080 28363282600 56726565200 113453130400