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212401432041 = 31943179484129
BaseRepresentation
bin1100010111010000011…
…1001010010111101001
3202022020121202201002020
43011310013022113221
511434444231311131
6241324215455053
721226335245361
oct3056407122751
9668217681066
10212401432041
1182096086697
12351b8987489
131704c6a7046
14a3cd1579a1
1557d208c996
hex31741ca5e9

212401432041 has 32 divisors (see below), whose sum is σ = 306744768000. Its totient is φ = 130296273408.

The previous prime is 212401431937. The next prime is 212401432051. The reversal of 212401432041 is 140234104212.

212401432041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 212401432041 - 213 = 212401423849 is a prime.

It is a super-2 number, since 2×2124014320412 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (212401432051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 196665 + ... + 680793.

It is an arithmetic number, because the mean of its divisors is an integer number (9585774000).

Almost surely, 2212401432041 is an apocalyptic number.

It is an amenable number.

212401432041 is a deficient number, since it is larger than the sum of its proper divisors (94343335959).

212401432041 is a wasteful number, since it uses less digits than its factorization.

212401432041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484373.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 212401432041 its reverse (140234104212), we get a palindrome (352635536253).

The spelling of 212401432041 in words is "two hundred twelve billion, four hundred one million, four hundred thirty-two thousand, forty-one".

Divisors: 1 3 19 43 57 129 179 537 817 2451 3401 7697 10203 23091 146243 438729 484129 1452387 9198451 20817547 27595353 62452641 86659091 259977273 395533393 1186600179 1646522729 3726340913 4939568187 11179022739 70800477347 212401432041