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212240040213102 = 231114583192205113
BaseRepresentation
bin110000010000011111111100…
…001101000011101001101110
31000211110221122022201102100220
4300100133330031003221232
5210304320100243304402
62031221421202232210
762463560023431306
oct6020377415035156
91024427568642326
10212240040213102
116169854a683060
121b979660055666
1391571c448ca05
143a5a68935c606
151980cb5710dbc
hexc107fc343a6e

212240040213102 has 32 divisors (see below), whose sum is σ = 463069706181120. Its totient is φ = 64315090432320.

The previous prime is 212240040213067. The next prime is 212240040213107. The reversal of 212240040213102 is 201312040042212.

212240040213102 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212240040213107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95146498 + ... + 97351610.

It is an arithmetic number, because the mean of its divisors is an integer number (14470928318160).

Almost surely, 2212240040213102 is an apocalyptic number.

212240040213102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

212240040213102 is an abundant number, since it is smaller than the sum of its proper divisors (250829665968018).

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

212240040213102 is a wasteful number, since it uses less digits than its factorization.

212240040213102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3663448.

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

Adding to 212240040213102 its reverse (201312040042212), we get a palindrome (413552080255314).

The spelling of 212240040213102 in words is "two hundred twelve trillion, two hundred forty billion, forty million, two hundred thirteen thousand, one hundred two".

Divisors: 1 2 3 6 11 22 33 66 1458319 2205113 2916638 4374957 4410226 6615339 8749914 13230678 16041509 24256243 32083018 48124527 48512486 72768729 96249054 145537458 3215758185047 6431516370094 9647274555141 19294549110282 35373340035517 70746680071034 106120020106551 212240040213102