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20132301312 = 29324368989
BaseRepresentation
bin10010101111111110…
…101000101000000000
31220222001110212112100
4102233332220220000
5312212332120222
613125413030400
71311616511004
oct225776505000
956861425470
1020132301312
1185a1182a52
123a9a325400
131b8ac1aa36
14d8dac4704
157cc6a14ac
hex4affa8a00

20132301312 has 60 divisors (see below), whose sum is σ = 58103198010. Its totient is φ = 6710765568.

The previous prime is 20132301311. The next prime is 20132301359. The reversal of 20132301312 is 21310323102.

20132301312 is a `hidden beast` number, since 20 + 1 + 32 + 301 + 312 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19955517696 + 176783616 = 141264^2 + 13296^2 .

It is a super-2 number, since 2×201323013122 (a number of 21 digits) contains 22 as substring.

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 (20132301311) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2179887 + ... + 2189102.

Almost surely, 220132301312 is an apocalyptic number.

It is an amenable number.

20132301312 is an abundant number, since it is smaller than the sum of its proper divisors (37970896698).

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

20132301312 is an equidigital number, since it uses as much as digits as its factorization.

20132301312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4369013 (or 4368994 counting only the distinct ones).

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

Adding to 20132301312 its reverse (21310323102), we get a palindrome (41442624414).

The spelling of 20132301312 in words is "twenty billion, one hundred thirty-two million, three hundred one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 4368989 8737978 13106967 17475956 26213934 34951912 39320901 52427868 69903824 78641802 104855736 139807648 157283604 209711472 279615296 314567208 419422944 559230592 629134416 838845888 1118461184 1258268832 1677691776 2236922368 2516537664 3355383552 5033075328 6710767104 10066150656 20132301312