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20121000320 = 27543731141
BaseRepresentation
bin10010101111010011…
…100001100110000000
31220221021012201111002
4102233103201212000
5312201434002240
613124330511132
71311421452341
oct225723414600
956837181432
1020121000320
118595864393
123a965954a8
131b88791c65
14d8c3c20c8
157cb6bcd15
hex4af4e1980

20121000320 has 64 divisors (see below), whose sum is σ = 49220479440. Its totient is φ = 7861217280.

The previous prime is 20121000311. The next prime is 20121000329. The reversal of 20121000320 is 2300012102.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20121000311) and next prime (20121000329).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20121000329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 338051 + ... + 393090.

Almost surely, 220121000320 is an apocalyptic number.

20121000320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20121000320 is an abundant number, since it is smaller than the sum of its proper divisors (29099479120).

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

20121000320 is an equidigital number, since it uses as much as digits as its factorization.

20121000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731203 (or 731191 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 20121000320 its reverse (2300012102), we get a palindrome (22421012422).

The spelling of 20121000320 in words is "twenty billion, one hundred twenty-one million, three hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 32 40 43 64 80 86 128 160 172 215 320 344 430 640 688 860 1376 1720 2752 3440 5504 6880 13760 27520 731141 1462282 2924564 3655705 5849128 7311410 11698256 14622820 23396512 29245640 31439063 46793024 58491280 62878126 93586048 116982560 125756252 157195315 233965120 251512504 314390630 467930240 503025008 628781260 1006050016 1257562520 2012100032 2515125040 4024200064 5030250080 10060500160 20121000320