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212041000431 = 32132311784213
BaseRepresentation
bin1100010101111010100…
…0001110010111101111
3202021022111112212212100
43011132220032113233
511433224444003211
6241224342310143
721214400523351
oct3053650162757
9667274485770
10212041000431
1181a20687027
1235118128353
1316cc2b0a9c0
14a3973330d1
1557b05e3156
hex315ea0e5ef

212041000431 has 24 divisors (see below), whose sum is σ = 329984703776. Its totient is φ = 130430139840.

The previous prime is 212041000403. The next prime is 212041000441. The reversal of 212041000431 is 134000140212.

212041000431 is a `hidden beast` number, since 21 + 204 + 10 + 0 + 0 + 431 = 666.

It is not a de Polignac number, because 212041000431 - 213 = 212040992239 is a prime.

It is a super-2 number, since 2×2120410004312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212041000441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121720 + ... + 662493.

Almost surely, 2212041000431 is an apocalyptic number.

212041000431 is a deficient number, since it is larger than the sum of its proper divisors (117943703345).

212041000431 is a wasteful number, since it uses less digits than its factorization.

212041000431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786543 (or 786540 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 212041000431 its reverse (134000140212), we get a palindrome (346041140643).

The spelling of 212041000431 in words is "two hundred twelve billion, forty-one million, four hundred thirty-one", and thus it is an aban number.

Divisors: 1 3 9 13 39 117 2311 6933 20799 30043 90129 270387 784213 2352639 7057917 10194769 30584307 91752921 1812316243 5436948729 16310846187 23560111159 70680333477 212041000431