Search a number
-
+
301132140100032 = 2633480745059803
BaseRepresentation
bin100010001111000001100101…
…0001111011011100111000000
31110111012221200121021121022010
41010132003022033123213000
5303432222110331200112
62544242110111412520
7120300036103523133
oct10436031217334700
91414187617247263
10301132140100032
1187a4a47265135a
1229935514524140
13cc0483ca63257
145450c3267221a
1524c3210c7263c
hex111e0ca3db9c0

301132140100032 has 56 divisors (see below), whose sum is σ = 796768362077056. Its totient is φ = 100374493978368.

The previous prime is 301132140100021. The next prime is 301132140100049. The reversal of 301132140100032 is 230001041231103.

It is a junction number, because it is equal to n+sod(n) for n = 301132140099981 and 301132140100008.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15846958 + ... + 29212845.

Almost surely, 2301132140100032 is an apocalyptic number.

301132140100032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

301132140100032 is an abundant number, since it is smaller than the sum of its proper divisors (495636221977024).

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

301132140100032 is a wasteful number, since it uses less digits than its factorization.

301132140100032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45094625 (or 45094615 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 301132140100032 its reverse (230001041231103), we get a palindrome (531133181331135).

The spelling of 301132140100032 in words is "three hundred one trillion, one hundred thirty-two billion, one hundred forty million, one hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 34807 69614 104421 139228 208842 278456 417684 556912 835368 1113824 1670736 2227648 3341472 6682944 45059803 90119606 135179409 180239212 270358818 360478424 540717636 720956848 1081435272 1441913696 2162870544 2883827392 4325741088 8651482176 1568396563021 3136793126042 4705189689063 6273586252084 9410379378126 12547172504168 18820758756252 25094345008336 37641517512504 50188690016672 75283035025008 100377380033344 150566070050016 301132140100032