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1010002011220 = 22561827870501
BaseRepresentation
bin11101011001010001100…
…11111010010001010100
310120112222202222020111001
432230220303322101110
5113021441003324340
62051553304153044
7132653535305416
oct16545063722124
93515882866431
101010002011220
1135a380893a74
121438b3768784
137432050b587
1436c549709b6
151b4148c029a
hexeb28cfa454

1010002011220 has 24 divisors (see below), whose sum is σ = 2155774787208. Its totient is φ = 397377840000.

The previous prime is 1010002011217. The next prime is 1010002011251. The reversal of 1010002011220 is 221102000101.

1010002011220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 12792062404 + 997209948816 = 113102^2 + 998604^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1010002011197 and 1010002011206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 413934031 + ... + 413936470.

It is an arithmetic number, because the mean of its divisors is an integer number (89823949467).

Almost surely, 21010002011220 is an apocalyptic number.

1010002011220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010002011220 is an abundant number, since it is smaller than the sum of its proper divisors (1145772775988).

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

1010002011220 is a wasteful number, since it uses less digits than its factorization.

1010002011220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827870571 (or 827870569 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1010002011220 its reverse (221102000101), we get a palindrome (1231104011321).

The spelling of 1010002011220 in words is "one trillion, ten billion, two million, eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 61 122 244 305 610 1220 827870501 1655741002 3311482004 4139352505 8278705010 16557410020 50500100561 101000201122 202000402244 252500502805 505001005610 1010002011220