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1012220001221 = 1113173531179547
BaseRepresentation
bin11101011101011010000…
…00110111101111000101
310120202201100111210202212
432232231000313233011
5113041011310014341
62053001335313205
7133062520022522
oct16565500675705
93522640453685
101012220001221
11360309890760
1214421251b805
13745b4b9b4b0
1436dc5372149
151b4e44925eb
hexebad037bc5

1012220001221 has 32 divisors (see below), whose sum is σ = 1262701415808. Its totient is φ = 797184368640.

The previous prime is 1012220001211. The next prime is 1012220001269. The reversal of 1012220001221 is 1221000222101.

It is not a de Polignac number, because 1012220001221 - 226 = 1012152892357 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1012220001196 and 1012220001205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012220001211) 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 31 ways as a sum of consecutive naturals, for example, 268370 + ... + 1447916.

It is an arithmetic number, because the mean of its divisors is an integer number (39459419244).

Almost surely, 21012220001221 is an apocalyptic number.

1012220001221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1012220001221 is a deficient number, since it is larger than the sum of its proper divisors (250481414587).

1012220001221 is a wasteful number, since it uses less digits than its factorization.

1012220001221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179941.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1012220001221 its reverse (1221000222101), we get a palindrome (2233220223322).

The spelling of 1012220001221 in words is "one trillion, twelve billion, two hundred twenty million, one thousand, two hundred twenty-one".

Divisors: 1 11 13 17 143 187 221 353 2431 3883 4589 6001 50479 66011 78013 858143 1179547 12975017 15334111 20052299 168675221 220575289 260679887 416380091 2867478757 4580181001 5412941183 7078461547 59542353013 77863077017 92020000111 1012220001221