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212213202102 = 23311503710261
BaseRepresentation
bin1100010110100011100…
…1000111110010110110
3202021202111120122011000
43011220321013302312
511434103034431402
6241253413224130
721221561312136
oct3055071076266
9667674518130
10212213202102
1181aa9902760
1235165932046
131701c6b1195
14a3b215aac6
1557c07aac1c
hex3168e47cb6

212213202102 has 64 divisors (see below), whose sum is σ = 515479749120. Its totient is φ = 64179093600.

The previous prime is 212213202077. The next prime is 212213202109. The reversal of 212213202102 is 201202312212.

212213202102 is a `hidden beast` number, since 21 + 221 + 320 + 2 + 102 = 666.

212213202102 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (212213202109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56349 + ... + 653912.

It is an arithmetic number, because the mean of its divisors is an integer number (8054371080).

Almost surely, 2212213202102 is an apocalyptic number.

212213202102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 212213202102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257739874560).

212213202102 is an abundant number, since it is smaller than the sum of its proper divisors (303266547018).

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

212213202102 is a wasteful number, since it uses less digits than its factorization.

212213202102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710786 (or 710780 counting only the distinct ones).

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

Adding to 212213202102 its reverse (201202312212), we get a palindrome (413415514314).

The spelling of 212213202102 in words is "two hundred twelve billion, two hundred thirteen million, two hundred two thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 503 594 1006 1509 3018 4527 5533 9054 11066 13581 16599 27162 33198 49797 99594 149391 298782 710261 1420522 2130783 4261566 6392349 7812871 12784698 15625742 19177047 23438613 38354094 46877226 70315839 140631678 210947517 357261283 421895034 714522566 1071783849 2143567698 3215351547 3929874113 6430703094 7859748226 9646054641 11789622339 19292109282 23579244678 35368867017 70737734034 106106601051 212213202102