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201213122342320 = 24511248219212009
BaseRepresentation
bin101101110000000010010100…
…101011100110110110110000
3222101102210020110100020010101
4231300002110223212312300
5202333133433304423240
61551540010551242144
760245111514143404
oct5560022453466660
9871383213306111
10201213122342320
1159127007a46450
121a69854b679354
1388374153b268a
143798aa4c43104
15183e035ce639a
hexb70094ae6db0

201213122342320 has 80 divisors (see below), whose sum is σ = 510370263275040. Its totient is φ = 73165452339200.

The previous prime is 201213122342249. The next prime is 201213122342377. The reversal of 201213122342320 is 23243221312102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17236476 + ... + 26448484.

It is an arithmetic number, because the mean of its divisors is an integer number (6379628290938).

Almost surely, 2201213122342320 is an apocalyptic number.

201213122342320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201213122342320 is an abundant number, since it is smaller than the sum of its proper divisors (309157140932720).

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

201213122342320 is a wasteful number, since it uses less digits than its factorization.

201213122342320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9236854 (or 9236848 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 201213122342320 its reverse (23243221312102), we get a palindrome (224456343654422).

The spelling of 201213122342320 in words is "two hundred one trillion, two hundred thirteen billion, one hundred twenty-two million, three hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 24821 49642 99284 124105 198568 248210 273031 397136 496420 546062 992840 1092124 1365155 1985680 2184248 2730310 4368496 5460620 9212009 10921240 18424018 21842480 36848036 46060045 73696072 92120090 101332099 147392144 184240180 202664198 368480360 405328396 506660495 736960720 810656792 1013320990 1621313584 2026641980 4053283960 8106567920 228651275389 457302550778 914605101556 1143256376945 1829210203112 2286512753890 2515164029279 3658420406224 4573025507780 5030328058558 9146051015560 10060656117116 12575820146395 18292102031120 20121312234232 25151640292790 40242624468464 50303280585580 100606561171160 201213122342320