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20131033320 = 23325251222787
BaseRepresentation
bin10010101111111001…
…110011000011101000
31220221222002110011200
4102233321303003220
5312212021031240
613125325524200
71311602650146
oct225771630350
956858073150
1020131033320
1185a0497322
123a99a13660
131b8a895848
14d8d874596
157cc500930
hex4afe730e8

20131033320 has 96 divisors (see below), whose sum is σ = 65686813920. Its totient is φ = 5346864000.

The previous prime is 20131033303. The next prime is 20131033367. The reversal of 20131033320 is 2333013102.

20131033320 is a `hidden beast` number, since 2 + 0 + 1 + 310 + 33 + 320 = 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 = 20131033293 and 20131033302.

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 23 ways as a sum of consecutive naturals, for example, 21034 + ... + 201753.

It is an arithmetic number, because the mean of its divisors is an integer number (684237645).

Almost surely, 220131033320 is an apocalyptic number.

20131033320 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 20131033320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32843406960).

20131033320 is an abundant number, since it is smaller than the sum of its proper divisors (45555780600).

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

20131033320 is a wasteful number, since it uses less digits than its factorization.

20131033320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223055 (or 223048 counting only the distinct ones).

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

Adding to 20131033320 its reverse (2333013102), we get a palindrome (22464046422).

The spelling of 20131033320 in words is "twenty billion, one hundred thirty-one million, thirty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 251 360 502 753 1004 1255 1506 2008 2259 2510 3012 3765 4518 5020 6024 7530 9036 10040 11295 15060 18072 22590 30120 45180 90360 222787 445574 668361 891148 1113935 1336722 1782296 2005083 2227870 2673444 3341805 4010166 4455740 5346888 6683610 8020332 8911480 10025415 13367220 16040664 20050830 26734440 40101660 55919537 80203320 111839074 167758611 223678148 279597685 335517222 447356296 503275833 559195370 671034444 838793055 1006551666 1118390740 1342068888 1677586110 2013103332 2236781480 2516379165 3355172220 4026206664 5032758330 6710344440 10065516660 20131033320