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1021102011220 = 225295693094061
BaseRepresentation
bin11101101101111100110…
…11000011001101010100
310121121122100120122221011
432312332123003031110
5113212204103324340
62101030543502004
7133525600613434
oct16667633031524
93547570518834
101021102011220
11364057513295
12145a90bb7904
137539c079705
14375c8c322c4
151b8641140ea
hexedbe6c3354

1021102011220 has 48 divisors (see below), whose sum is σ = 2222155328400. Its totient is φ = 393663441920.

The previous prime is 1021102011217. The next prime is 1021102011227. The reversal of 1021102011220 is 221102011201.

It can be written as a sum of positive squares in 8 ways, for example, as 290234322756 + 730867688464 = 538734^2 + 854908^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1021102011220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021102011227) 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, 1217011 + ... + 1877050.

It is an arithmetic number, because the mean of its divisors is an integer number (46294902675).

Almost surely, 21021102011220 is an apocalyptic number.

1021102011220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1021102011220 is an abundant number, since it is smaller than the sum of its proper divisors (1201053317180).

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

1021102011220 is a wasteful number, since it uses less digits than its factorization.

1021102011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3094668 (or 3094666 counting only the distinct ones).

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

Adding to 1021102011220 its reverse (221102011201), we get a palindrome (1242204022421).

The spelling of 1021102011220 in words is "one trillion, twenty-one billion, one hundred two million, eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 569 580 1138 2276 2845 5690 11380 16501 33002 66004 82505 165010 330020 3094061 6188122 12376244 15470305 30940610 61881220 89727769 179455538 358911076 448638845 897277690 1760520709 1794555380 3521041418 7042082836 8802603545 17605207090 35210414180 51055100561 102110201122 204220402244 255275502805 510551005610 1021102011220