Search a number
-
+
212400430201141 = 71325114936228457
BaseRepresentation
bin110000010010110101010100…
…001100010011100100110101
31000212001021122011210000101021
4300102311110030103210311
5210314432040112414031
62031423224404301141
762511265444020010
oct6022652414234465
91025037564700337
10212400430201141
116174a575642a86
121b9a47623a17b1
139169375473a90
143a6434298c377
151985051535511
hexc12d54313935

212400430201141 has 32 divisors (see below), whose sum is σ = 262633245896448. Its totient is φ = 167271414336000.

The previous prime is 212400430201133. The next prime is 212400430201151. The reversal of 212400430201141 is 141102034004212.

It is not a de Polignac number, because 212400430201141 - 23 = 212400430201133 is a prime.

It is a super-2 number, since 2×2124004302011412 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212400430201151) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30987385 + ... + 37215841.

It is an arithmetic number, because the mean of its divisors is an integer number (8207288934264).

Almost surely, 2212400430201141 is an apocalyptic number.

It is an amenable number.

212400430201141 is a deficient number, since it is larger than the sum of its proper divisors (50232815695307).

212400430201141 is a wasteful number, since it uses less digits than its factorization.

212400430201141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6230221.

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 212400430201141 its reverse (141102034004212), we get a palindrome (353502464205353).

The spelling of 212400430201141 in words is "two hundred twelve trillion, four hundred billion, four hundred thirty million, two hundred one thousand, one hundred forty-one".

Divisors: 1 7 13 91 251 1493 1757 3263 10451 19409 22841 135863 374743 2623201 4871659 6228457 34101613 43599199 80969941 566789587 1563342707 9299086301 10943398949 20323455191 65093604107 120888121913 142264186337 846216853391 2334070661551 16338494630857 30342918600163 212400430201141