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212055416631 = 32432692036977
BaseRepresentation
bin1100010101111101111…
…1001101111100110111
3202021100111200022011200
43011133133031330313
511433242141313011
6241230015303543
721214634205162
oct3053737157467
9667314608150
10212055416631
1181a28833143
1235120b1abb3
1316cc5ab76b6
14a399206ad9
1557b19de856
hex315f7cdf37

212055416631 has 24 divisors (see below), whose sum is σ = 314590882320. Its totient is φ = 137569211136.

The previous prime is 212055416611. The next prime is 212055416687. The reversal of 212055416631 is 136614550212.

212055416631 is a `hidden beast` number, since 2 + 1 + 2 + 0 + 5 + 5 + 4 + 16 + 631 = 666.

It is a de Polignac number, because none of the positive numbers 2k-212055416631 is a prime.

It is a super-2 number, since 2×2120554166312 (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 (212055416611) 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, 914386 + ... + 1122591.

It is an arithmetic number, because the mean of its divisors is an integer number (13107953430).

Almost surely, 2212055416631 is an apocalyptic number.

212055416631 is a deficient number, since it is larger than the sum of its proper divisors (102535465689).

212055416631 is a wasteful number, since it uses less digits than its factorization.

212055416631 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2037295 (or 2037292 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 212055416631 its reverse (136614550212), we get a palindrome (348669966843).

The spelling of 212055416631 in words is "two hundred twelve billion, fifty-five million, four hundred sixteen thousand, six hundred thirty-one".

Divisors: 1 3 9 43 129 269 387 807 2421 11567 34701 104103 2036977 6110931 18332793 87590011 262770033 547946813 788310099 1643840439 4931521317 23561712959 70685138877 212055416631