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20132000320 = 265311202291
BaseRepresentation
bin10010101111111101…
…011111001001000000
31220222000220120122111
4102233331133021000
5312212243002240
613125402345104
71311614115325
oct225775371100
956860816574
1020132000320
1185a0a978a3
123a9a1bb194
131b8ab43a33
14d8da46b4c
157cc6421ea
hex4aff5f240

20132000320 has 56 divisors (see below), whose sum is σ = 48093709248. Its totient is φ = 8026867200.

The previous prime is 20132000281. The next prime is 20132000341. The reversal of 20132000320 is 2300023102.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 20132000320.

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 7 ways as a sum of consecutive naturals, for example, 1626 + ... + 200665.

Almost surely, 220132000320 is an apocalyptic number.

20132000320 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 20132000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24046854624).

20132000320 is an abundant number, since it is smaller than the sum of its proper divisors (27961708928).

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

20132000320 is a wasteful number, since it uses less digits than its factorization.

20132000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202619 (or 202609 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 20132000320 its reverse (2300023102), we get a palindrome (22432023422).

The spelling of 20132000320 in words is "twenty billion, one hundred thirty-two million, three hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 311 320 622 1244 1555 2488 3110 4976 6220 9952 12440 19904 24880 49760 99520 202291 404582 809164 1011455 1618328 2022910 3236656 4045820 6473312 8091640 12946624 16183280 32366560 62912501 64733120 125825002 251650004 314562505 503300008 629125010 1006600016 1258250020 2013200032 2516500040 4026400064 5033000080 10066000160 20132000320