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11220122520 = 2332531167007
BaseRepresentation
bin10100111001100010…
…10111101110011000
31001221221122021120100
422130301113232120
5140434322410040
65053210055400
7545021316315
oct123461275630
931857567510
1011220122520
114838515132
12221171a560
13109a708a69
1478620dd0c
1545a070b30
hex29cc57b98

11220122520 has 48 divisors (see below), whose sum is σ = 36465399360. Its totient is φ = 2992032576.

The previous prime is 11220122479. The next prime is 11220122521. The reversal of 11220122520 is 2522102211.

11220122520 is a `hidden beast` number, since 1 + 1 + 2 + 20 + 122 + 520 = 666.

It is a super-2 number, since 2×112201225202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11220122493 and 11220122502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11220122521) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15583144 + ... + 15583863.

It is an arithmetic number, because the mean of its divisors is an integer number (759695820).

Almost surely, 211220122520 is an apocalyptic number.

11220122520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11220122520 is an abundant number, since it is smaller than the sum of its proper divisors (25245276840).

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

11220122520 is a wasteful number, since it uses less digits than its factorization.

11220122520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31167024 (or 31167017 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 11220122520 its reverse (2522102211), we get a palindrome (13742224731).

The spelling of 11220122520 in words is "eleven billion, two hundred twenty million, one hundred twenty-two thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 31167007 62334014 93501021 124668028 155835035 187002042 249336056 280503063 311670070 374004084 467505105 561006126 623340140 748008168 935010210 1122012252 1246680280 1402515315 1870020420 2244024504 2805030630 3740040840 5610061260 11220122520