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201344213400 = 233521130506699
BaseRepresentation
bin1011101110000100001…
…1001110000110011000
3201020201000122210121220
42323201003032012120
511244323104312100
6232255105132040
720355332401341
oct2734103160630
9636630583556
10201344213400
1178431617670
123303192a020
1315ca9967715
149a608310c8
155386499aa0
hex2ee10ce198

201344213400 has 96 divisors (see below), whose sum is σ = 680909544000. Its totient is φ = 48810716800.

The previous prime is 201344213377. The next prime is 201344213407. The reversal of 201344213400 is 4312443102.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201344213407) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 15246750 + ... + 15259949.

It is an arithmetic number, because the mean of its divisors is an integer number (7092807750).

Almost surely, 2201344213400 is an apocalyptic number.

201344213400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201344213400 is an abundant number, since it is smaller than the sum of its proper divisors (479565330600).

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

201344213400 is a wasteful number, since it uses less digits than its factorization.

201344213400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30506729 (or 30506720 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 201344213400 its reverse (4312443102), we get a palindrome (205656656502).

The spelling of 201344213400 in words is "two hundred one billion, three hundred forty-four million, two hundred thirteen thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 132 150 165 200 220 264 275 300 330 440 550 600 660 825 1100 1320 1650 2200 3300 6600 30506699 61013398 91520097 122026796 152533495 183040194 244053592 305066990 335573689 366080388 457600485 610133980 671147378 732160776 762667475 915200970 1006721067 1220267960 1342294756 1525334950 1677868445 1830401940 2013442134 2288002425 2684589512 3050669900 3355736890 3660803880 4026884268 4576004850 5033605335 6101339800 6711473780 8053768536 8389342225 9152009700 10067210670 13422947560 16778684450 18304019400 20134421340 25168026675 33557368900 40268842680 50336053350 67114737800 100672106700 201344213400