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202042444401 = 32771347130171
BaseRepresentation
bin1011110000101010101…
…0110000101001110001
3201022111200111121111100
42330022222300221301
511302240331210101
6232452250435013
720411541304260
oct2741252605161
9638450447440
10202042444401
117875a768986
12331a7732a69
131608b507865
149ac94685d7
1553c791ce86
hex2f0aab0a71

202042444401 has 48 divisors (see below), whose sum is σ = 339205321728. Its totient is φ = 113497826400.

The previous prime is 202042444381. The next prime is 202042444427. The reversal of 202042444401 is 104444240202.

It is not a de Polignac number, because 202042444401 - 218 = 202042182257 is a prime.

It is a super-2 number, since 2×2020424444012 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (202042444451) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1487046 + ... + 1617216.

It is an arithmetic number, because the mean of its divisors is an integer number (7066777536).

Almost surely, 2202042444401 is an apocalyptic number.

202042444401 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

202042444401 is a deficient number, since it is larger than the sum of its proper divisors (137162877327).

202042444401 is a wasteful number, since it uses less digits than its factorization.

202042444401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130602 (or 130599 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 202042444401 its reverse (104444240202), we get a palindrome (306486684603).

The spelling of 202042444401 in words is "two hundred two billion, forty-two million, four hundred forty-four thousand, four hundred one".

Divisors: 1 3 7 9 21 63 71 213 347 497 639 1041 1491 2429 3123 4473 7287 21861 24637 73911 130171 172459 221733 390513 517377 911197 1171539 1552131 2733591 8200773 9242141 27726423 45169337 64694987 83179269 135508011 194084961 316185359 406524033 582254883 948556077 2845668231 3207022927 9621068781 22449160489 28863206343 67347481467 202042444401