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1011022011220 = 2251311173481241
BaseRepresentation
bin11101011011001011001…
…10111001101101010100
310120122121212021121102211
432231211212321231110
5113031033113324340
62052242422243204
7133021032205354
oct16554546715524
93518555247384
101011022011220
1135a854628081
12143b39286504
137445392bb80
1436d10206b64
151b4742025ea
hexeb659b9b54

1011022011220 has 48 divisors (see below), whose sum is σ = 2288512790928. Its totient is φ = 372966128640.

The previous prime is 1011022011199. The next prime is 1011022011253. The reversal of 1011022011220 is 221102201101.

It can be written as a sum of positive squares in 8 ways, for example, as 521047210896 + 489974800324 = 721836^2 + 699982^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 1011022011220.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1450201 + ... + 2031040.

It is an arithmetic number, because the mean of its divisors is an integer number (47677349811).

Almost surely, 21011022011220 is an apocalyptic number.

1011022011220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011022011220 is an abundant number, since it is smaller than the sum of its proper divisors (1277490779708).

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

1011022011220 is a wasteful number, since it uses less digits than its factorization.

1011022011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3482380 (or 3482378 counting only the distinct ones).

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

Adding to 1011022011220 its reverse (221102201101), we get a palindrome (1232124212321).

The spelling of 1011022011220 in words is "one trillion, eleven billion, twenty-two million, eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 1117 2234 4468 5585 11170 14521 22340 29042 58084 72605 145210 290420 3481241 6962482 13924964 17406205 34812410 45256133 69624820 90512266 181024532 226280665 452561330 905122660 3888546197 7777092394 15554184788 19442730985 38885461970 50551100561 77770923940 101102201122 202204402244 252755502805 505511005610 1011022011220