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20131333020 = 22325176578867
BaseRepresentation
bin10010101111111010…
…111100001110011100
31220221222122200021200
4102233322330032130
5312212110124040
613125340155500
71311605336001
oct225772741634
956858580250
1020131333020
1185a0681507
123a99b38b90
131b8a96c096
14d8d9118a8
157cc55e630
hex4afebc39c

20131333020 has 72 divisors (see below), whose sum is σ = 64657114704. Its totient is φ = 5052569088.

The previous prime is 20131332989. The next prime is 20131333021. The reversal of 20131333020 is 2033313102.

20131333020 is a `hidden beast` number, since 2 + 0 + 1 + 313 + 330 + 20 = 666.

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 = 20131332984 and 20131333002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20131333021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3286374 + ... + 3292493.

It is an arithmetic number, because the mean of its divisors is an integer number (898015482).

Almost surely, 220131333020 is an apocalyptic number.

20131333020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20131333020 is an abundant number, since it is smaller than the sum of its proper divisors (44525781684).

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

20131333020 is a wasteful number, since it uses less digits than its factorization.

20131333020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6578899 (or 6578894 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 20131333020 its reverse (2033313102), we get a palindrome (22164646122).

The spelling of 20131333020 in words is "twenty billion, one hundred thirty-one million, three hundred thirty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 6578867 13157734 19736601 26315468 32894335 39473202 59209803 65788670 78946404 98683005 111840739 118419606 131577340 197366010 223681478 236839212 296049015 335522217 394732020 447362956 559203695 592098030 671044434 1006566651 1118407390 1184196060 1342088868 1677611085 2013133302 2236814780 3355222170 4026266604 5032833255 6710444340 10065666510 20131333020