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202301012320 = 255111011138057
BaseRepresentation
bin1011110001101000010…
…1000111100101100000
3201100011201001012222221
42330122011013211200
511303303024343240
6232534044440424
720421131142511
oct2743205074540
9640151035887
10202301012320
1178882713880
123325a249114
13160ccc5a024
149b11934a08
1553e0495a4a
hex2f1a147960

202301012320 has 96 divisors (see below), whose sum is σ = 526547570976. Its totient is φ = 72835584000.

The previous prime is 202301012297. The next prime is 202301012341. The reversal of 202301012320 is 23210103202.

202301012320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 202301012294 and 202301012303.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 391269 + ... + 746788.

It is an arithmetic number, because the mean of its divisors is an integer number (5484870531).

Almost surely, 2202301012320 is an apocalyptic number.

202301012320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202301012320 is an abundant number, since it is smaller than the sum of its proper divisors (324246558656).

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

202301012320 is a wasteful number, since it uses less digits than its factorization.

202301012320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138184 (or 1138176 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 202301012320 its reverse (23210103202), we get a palindrome (225511115522).

The spelling of 202301012320 in words is "two hundred two billion, three hundred one million, twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 101 110 160 176 202 220 352 404 440 505 808 880 1010 1111 1616 1760 2020 2222 3232 4040 4444 5555 8080 8888 11110 16160 17776 22220 35552 44440 88880 177760 1138057 2276114 4552228 5690285 9104456 11380570 12518627 18208912 22761140 25037254 36417824 45522280 50074508 62593135 91044560 100149016 114943757 125186270 182089120 200298032 229887514 250372540 400596064 459775028 500745080 574718785 919550056 1001490160 1149437570 1264381327 1839100112 2002980320 2298875140 2528762654 3678200224 4597750280 5057525308 6321906635 9195500560 10115050616 12643813270 18391001120 20230101232 25287626540 40460202464 50575253080 101150506160 202301012320