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201201304433140 = 225115566316430149
BaseRepresentation
bin101101101111110111010100…
…010001110111000111110100
3222101101122201211212020102101
4231233313110101313013310
5202332440232413330030
61551530334144351444
760244212613443604
oct5557672421670764
9871348654766371
10201201304433140
1159121aa3055360
121a6961b1915584
138836280ba45cb
1437982a34a4c04
15183da935437ca
hexb6fdd44771f4

201201304433140 has 48 divisors (see below), whose sum is σ = 460942206278400. Its totient is φ = 73162791838080.

The previous prime is 201201304433111. The next prime is 201201304433161. The reversal of 201201304433140 is 41334403102102.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 201201304433099 and 201201304433108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4030786 + ... + 20460934.

It is an arithmetic number, because the mean of its divisors is an integer number (9602962630800).

Almost surely, 2201201304433140 is an apocalyptic number.

201201304433140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201201304433140 is an abundant number, since it is smaller than the sum of its proper divisors (259740901845260).

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

201201304433140 is a wasteful number, since it uses less digits than its factorization.

201201304433140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16485832 (or 16485830 counting only the distinct ones).

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

Adding to 201201304433140 its reverse (41334403102102), we get a palindrome (242535707535242).

The spelling of 201201304433140 in words is "two hundred one trillion, two hundred one billion, three hundred four million, four hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 55663 111326 222652 278315 556630 612293 1113260 1224586 2449172 3061465 6122930 12245860 16430149 32860298 65720596 82150745 164301490 180731639 328602980 361463278 722926556 903658195 1807316390 3614632780 914551383787 1829102767574 3658205535148 4572756918935 9145513837870 10060065221657 18291027675740 20120130443314 40240260886628 50300326108285 100600652216570 201201304433140