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201324310400 = 2752292169443
BaseRepresentation
bin1011101101111111011…
…1010010111110000000
3201020122122012121211202
42323133313102332000
511244303010413100
6232253114400332
720355001255163
oct2733767227600
9636578177752
10201324310400
1178421363204
12330271300a8
1315ca57b94b5
149a5bd2dada
1553848677d5
hex2edfdd2f80

201324310400 has 96 divisors (see below), whose sum is σ = 514483644600. Its totient is φ = 77752801280.

The previous prime is 201324310337. The next prime is 201324310417. The reversal of 201324310400 is 4013423102.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 991922 + ... + 1177521.

Almost surely, 2201324310400 is an apocalyptic number.

201324310400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201324310400 is an abundant number, since it is smaller than the sum of its proper divisors (313159334200).

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

201324310400 is a wasteful number, since it uses less digits than its factorization.

201324310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2169496 (or 2169479 counting only the distinct ones).

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

Adding to 201324310400 its reverse (4013423102), we get a palindrome (205337733502).

The spelling of 201324310400 in words is "two hundred one billion, three hundred twenty-four million, three hundred ten thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 64 80 100 116 128 145 160 200 232 290 320 400 464 580 640 725 800 928 1160 1450 1600 1856 2320 2900 3200 3712 4640 5800 9280 11600 18560 23200 46400 92800 2169443 4338886 8677772 10847215 17355544 21694430 34711088 43388860 54236075 62913847 69422176 86777720 108472150 125827694 138844352 173555440 216944300 251655388 277688704 314569235 347110880 433888600 503310776 629138470 694221760 867777200 1006621552 1258276940 1388443520 1572846175 1735554400 2013243104 2516553880 3145692350 3471108800 4026486208 5033107760 6291384700 6942217600 8052972416 10066215520 12582769400 20132431040 25165538800 40264862080 50331077600 100662155200 201324310400