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414100212102 = 232171353268667
BaseRepresentation
bin1100000011010100100…
…10111100100110000110
31110120212100121100201200
412001222102330212012
523241034123241402
6514122432403330
741626534504053
oct6015222744606
91416770540650
10414100212102
1114a689857455
12683093a6546
1330084936405
1416084ac402a
15ab8972421c
hex606a4bc986

414100212102 has 24 divisors (see below), whose sum is σ = 949994604936. Its totient is φ = 129913791936.

The previous prime is 414100212101. The next prime is 414100212107. The reversal of 414100212102 is 201212001414.

414100212102 is a `hidden beast` number, since 41 + 410 + 0 + 2 + 1 + 210 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414100212101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 676634028 + ... + 676634639.

It is an arithmetic number, because the mean of its divisors is an integer number (39583108539).

Almost surely, 2414100212102 is an apocalyptic number.

414100212102 is an abundant number, since it is smaller than the sum of its proper divisors (535894392834).

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

414100212102 is a wasteful number, since it uses less digits than its factorization.

414100212102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1353268692 (or 1353268689 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 414100212102 its reverse (201212001414), we get a palindrome (615312213516).

The spelling of 414100212102 in words is "four hundred fourteen billion, one hundred million, two hundred twelve thousand, one hundred two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 1353268667 2706537334 4059806001 8119612002 12179418003 23005567339 24358836006 46011134678 69016702017 138033404034 207050106051 414100212102