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1222011120100 = 2252113108142577
BaseRepresentation
bin10001110010000101100…
…010011110100111100100
311022211020001111212100211
4101302011202132213210
5130010134321320400
62333214551145204
7154200401064601
oct21620542364744
94284201455324
101222011120100
11431285468441
12178a01075204
138b309831324
14432079616a8
1521bc22b3dba
hex11c8589e9e4

1222011120100 has 36 divisors (see below), whose sum is σ = 2675231094564. Its totient is φ = 484478740480.

The previous prime is 1222011120067. The next prime is 1222011120149. The reversal of 1222011120100 is 10211102221.

It can be written as a sum of positive squares in 6 ways, for example, as 406829660224 + 815181459876 = 637832^2 + 902874^2 .

It is a super-2 number, since 2×12220111201002 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54059989 + ... + 54082588.

It is an arithmetic number, because the mean of its divisors is an integer number (74311974849).

Almost surely, 21222011120100 is an apocalyptic number.

1222011120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1222011120100 is an abundant number, since it is smaller than the sum of its proper divisors (1453219974464).

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

1222011120100 is a wasteful number, since it uses less digits than its factorization.

1222011120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108142704 (or 108142697 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1222011120100 its reverse (10211102221), we get a palindrome (1232222222321).

The spelling of 1222011120100 in words is "one trillion, two hundred twenty-two billion, eleven million, one hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 113 226 452 565 1130 2260 2825 5650 11300 108142577 216285154 432570308 540712885 1081425770 2162851540 2703564425 5407128850 10814257700 12220111201 24440222402 48880444804 61100556005 122201112010 244402224020 305502780025 611005560050 1222011120100