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1022100211212 = 223175010295153
BaseRepresentation
bin11101101111110011110…
…10111000011000001100
310121201012220212110220020
432313321322320120030
5113221230123224322
62101314002422140
7133562411306463
oct16677172703014
93551186773806
101022100211212
11364519a17763
1214610b361950
13754cab064b2
14376816319da
151b8c1a8c05c
hexedf9eb860c

1022100211212 has 24 divisors (see below), whose sum is σ = 2525188757616. Its totient is φ = 320658889728.

The previous prime is 1022100211133. The next prime is 1022100211241. The reversal of 1022100211212 is 2121120012201.

It is a super-3 number, since 3×10221002112123 (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1022100211191 and 1022100211200.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2505147373 + ... + 2505147780.

It is an arithmetic number, because the mean of its divisors is an integer number (105216198234).

Almost surely, 21022100211212 is an apocalyptic number.

1022100211212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1022100211212 is an abundant number, since it is smaller than the sum of its proper divisors (1503088546404).

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

1022100211212 is a wasteful number, since it uses less digits than its factorization.

1022100211212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5010295177 (or 5010295175 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1022100211212 its reverse (2121120012201), we get a palindrome (3143220223413).

The spelling of 1022100211212 in words is "one trillion, twenty-two billion, one hundred million, two hundred eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 5010295153 10020590306 15030885459 20041180612 30061770918 60123541836 85175017601 170350035202 255525052803 340700070404 511050105606 1022100211212