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20111133020 = 22511533175441
BaseRepresentation
bin10010101110101101…
…111000100101011100
31220220120122102002112
4102232231320211130
5312141422224040
613123335213152
71311241544606
oct225655704534
956816572075
1020111133020
1185902349a0
123a932171b8
131b86718914
14d8ad74176
157ca8be365
hex4aeb7895c

20111133020 has 96 divisors (see below), whose sum is σ = 47098812096. Its totient is φ = 7151206400.

The previous prime is 20111132989. The next prime is 20111133061. The reversal of 20111133020 is 2033111102.

It is a junction number, because it is equal to n+sod(n) for n = 20111132986 and 20111133004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3693500 + ... + 3698940.

It is an arithmetic number, because the mean of its divisors is an integer number (490612626).

Almost surely, 220111133020 is an apocalyptic number.

20111133020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20111133020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23549406048).

20111133020 is an abundant number, since it is smaller than the sum of its proper divisors (26987679076).

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

20111133020 is a wasteful number, since it uses less digits than its factorization.

20111133020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5831 (or 5829 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 20111133020 its reverse (2033111102), we get a palindrome (22144244122).

The spelling of 20111133020 in words is "twenty billion, one hundred eleven million, one hundred thirty-three thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 53 55 106 110 212 220 265 317 530 583 634 1060 1166 1268 1585 2332 2915 3170 3487 5441 5830 6340 6974 10882 11660 13948 16801 17435 21764 27205 33602 34870 54410 59851 67204 69740 84005 108820 119702 168010 184811 239404 288373 299255 336020 369622 576746 598510 739244 924055 1153492 1197020 1441865 1724797 1848110 2883730 3172103 3449594 3696220 5767460 6344206 6899188 8623985 12688412 15860515 17247970 18972767 31721030 34495940 37945534 63442060 75891068 91414241 94863835 182828482 189727670 365656964 379455340 457071205 914142410 1005556651 1828284820 2011113302 4022226604 5027783255 10055566510 20111133020