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11233020420 = 2232562405669
BaseRepresentation
bin10100111011000101…
…00100101000000100
31001222211220120011100
422131202210220010
5141001123123140
65054350340100
7545236045446
oct123542445004
931884816140
1011233020420
114844824556
122215aba630
1310a02a365b
14787c0a496
1545b26c530
hex29d8a4a04

11233020420 has 36 divisors (see below), whose sum is σ = 34073495820. Its totient is φ = 2995472064.

The previous prime is 11233020413. The next prime is 11233020473. The reversal of 11233020420 is 2402033211.

11233020420 is a `hidden beast` number, since 11 + 233 + 0 + 2 + 0 + 420 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4109322816 + 7123697604 = 64104^2 + 84402^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×112330204202 (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 = 11233020393 and 11233020402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31202655 + ... + 31203014.

It is an arithmetic number, because the mean of its divisors is an integer number (946485995).

Almost surely, 211233020420 is an apocalyptic number.

11233020420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11233020420 is an abundant number, since it is smaller than the sum of its proper divisors (22840475400).

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

11233020420 is a wasteful number, since it uses less digits than its factorization.

11233020420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62405684 (or 62405679 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 11233020420 its reverse (2402033211), we get a palindrome (13635053631).

The spelling of 11233020420 in words is "eleven billion, two hundred thirty-three million, twenty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 62405669 124811338 187217007 249622676 312028345 374434014 561651021 624056690 748868028 936085035 1123302042 1248113380 1872170070 2246604084 2808255105 3744340140 5616510210 11233020420