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113322314000 = 2453729279119
BaseRepresentation
bin110100110001010001…
…0010100100100010000
3101211111121221000101202
41221202202110210100
53324041003022000
6124020510250332
711121142530050
oct1514242244420
9354447830352
10113322314000
1144072545865
1219b674b69a8
13a8bc8c298c
1456b052b560
152e33b06dd5
hex1a62894910

113322314000 has 160 divisors (see below), whose sum is σ = 323957836800. Its totient is φ = 37513459200.

The previous prime is 113322313999. The next prime is 113322314011. The reversal of 113322314000 is 413223311.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 266441 + ... + 545559.

It is an arithmetic number, because the mean of its divisors is an integer number (2024736480).

Almost surely, 2113322314000 is an apocalyptic number.

113322314000 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 113322314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161978918400).

113322314000 is an abundant number, since it is smaller than the sum of its proper divisors (210635522800).

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

113322314000 is a wasteful number, since it uses less digits than its factorization.

113322314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279178 (or 279162 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 113322314000 its reverse (413223311), we get a palindrome (113735537311).

The spelling of 113322314000 in words is "one hundred thirteen billion, three hundred twenty-two million, three hundred fourteen thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 29 35 40 50 56 58 70 80 100 112 116 125 140 145 175 200 203 232 250 280 290 350 400 406 464 500 560 580 700 725 812 875 1000 1015 1160 1400 1450 1624 1750 2000 2030 2320 2800 2900 3248 3500 3625 4060 5075 5800 7000 7250 8120 10150 11600 14000 14500 16240 20300 25375 29000 40600 50750 58000 81200 101500 203000 279119 406000 558238 1116476 1395595 1953833 2232952 2791190 3907666 4465904 5582380 6977975 7815332 8094451 9769165 11164760 13955950 15630664 16188902 19538330 22329520 27911900 31261328 32377804 34889875 39076660 40472255 48845825 55823800 56661157 64755608 69779750 78153320 80944510 97691650 111647600 113322314 129511216 139559500 156306640 161889020 195383300 202361275 226644628 244229125 279119000 283305785 323778040 390766600 404722550 453289256 488458250 558238000 566611570 647556080 781533200 809445100 906578512 976916500 1011806375 1133223140 1416528925 1618890200 1953833000 2023612750 2266446280 2833057850 3237780400 3907666000 4047225500 4532892560 5666115700 7082644625 8094451000 11332231400 14165289250 16188902000 22664462800 28330578500 56661157000 113322314000