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101212212211212 = 223171064174662209
BaseRepresentation
bin10111000000110101001101…
…111101001010111000001100
3111021100210102002110020200010
4113000311031331022320030
5101231230102311224322
6555132125353233220
730214224654005514
oct2700651575127014
9437323362406603
10101212212211212
112a281949218303
12b427731102810
13446236983691b
141adc9a91d8844
15ba7b6669820c
hex5c0d4df4ae0c

101212212211212 has 48 divisors (see below), whose sum is σ = 250056104145120. Its totient is φ = 31752545697792.

The previous prime is 101212212211193. The next prime is 101212212211219. The reversal of 101212212211212 is 212112212212101.

It is a super-2 number, since 2×1012122122112122 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101212212211219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19377964 + ... + 24040172.

It is an arithmetic number, because the mean of its divisors is an integer number (5209502169690).

Almost surely, 2101212212211212 is an apocalyptic number.

101212212211212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101212212211212 is an abundant number, since it is smaller than the sum of its proper divisors (148843891933908).

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

101212212211212 is a wasteful number, since it uses less digits than its factorization.

101212212211212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4768650 (or 4768648 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 21.

Adding to 101212212211212 its reverse (212112212212101), we get a palindrome (313324424423313).

The spelling of 101212212211212 in words is "one hundred one trillion, two hundred twelve billion, two hundred twelve million, two hundred eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 106417 212834 319251 425668 638502 1277004 1809089 3618178 4662209 5427267 7236356 9324418 10854534 13986627 18648836 21709068 27973254 55946508 79257553 158515106 237772659 317030212 475545318 951090636 496138295153 992276590306 1488414885459 1984553180612 2976829770918 5953659541836 8434351017601 16868702035202 25303053052803 33737404070404 50606106105606 101212212211212