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20011133232 = 24321015992297
BaseRepresentation
bin10010101000110000…
…011010100100110000
31220122121110220011200
4102220300122210300
5311440322230412
613105404011200
71305615553206
oct225060324460
956577426150
1020011133232
118539843642
123a65830b00
131b6baa524c
14d7b983076
157c1c199dc
hex4a8c1a930

20011133232 has 120 divisors (see below), whose sum is σ = 56676952800. Its totient is φ = 6590438400.

The previous prime is 20011133231. The next prime is 20011133239. The reversal of 20011133232 is 23233111002.

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

It is not an unprimeable number, because it can be changed into a prime (20011133231) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 8710708 + ... + 8713004.

It is an arithmetic number, because the mean of its divisors is an integer number (472307940).

Almost surely, 220011133232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20011133232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28338476400).

20011133232 is an abundant number, since it is smaller than the sum of its proper divisors (36665819568).

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

20011133232 is a wasteful number, since it uses less digits than its factorization.

20011133232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3011 (or 3002 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 20011133232 its reverse (23233111002), we get a palindrome (43244244234).

The spelling of 20011133232 in words is "twenty billion, eleven million, one hundred thirty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 101 144 202 303 404 599 606 808 909 1198 1212 1616 1797 1818 2297 2396 2424 3594 3636 4594 4792 4848 5391 6891 7188 7272 9188 9584 10782 13782 14376 14544 18376 20673 21564 27564 28752 36752 41346 43128 55128 60499 82692 86256 110256 120998 165384 181497 231997 241996 330768 362994 463994 483992 544491 695991 725988 927988 967984 1088982 1375903 1391982 1451976 1855976 2087973 2177964 2751806 2783964 2903952 3711952 4127709 4175946 4355928 5503612 5567928 8255418 8351892 8711856 11007224 11135856 12383127 16510836 16703784 22014448 24766254 33021672 33407568 49532508 66043344 99065016 138966203 198130032 277932406 416898609 555864812 833797218 1111729624 1250695827 1667594436 2223459248 2501391654 3335188872 5002783308 6670377744 10005566616 20011133232