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20121220032 = 263104798021
BaseRepresentation
bin10010101111010100…
…010111001111000000
31220221021121212212120
4102233110113033000
5312202013020112
613124335324240
71311423356034
oct225724271700
956837555776
1020121220032
1185959a4471
123a96680680
131b8883ac74
14d8c43c1c4
157cb712e8c
hex4af5173c0

20121220032 has 28 divisors (see below), whose sum is σ = 53237395176. Its totient is φ = 6707073280.

The previous prime is 20121220027. The next prime is 20121220037. The reversal of 20121220032 is 23002212102.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20121220027) and next prime (20121220037).

It is a junction number, because it is equal to n+sod(n) for n = 20121219993 and 20121220020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20121220037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 52398819 + ... + 52399202.

It is an arithmetic number, because the mean of its divisors is an integer number (1901335542).

Almost surely, 220121220032 is an apocalyptic number.

It is an amenable number.

20121220032 is an abundant number, since it is smaller than the sum of its proper divisors (33116175144).

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

20121220032 is a wasteful number, since it uses less digits than its factorization.

20121220032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104798036 (or 104798026 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 20121220032 its reverse (23002212102), we get a palindrome (43123432134).

The spelling of 20121220032 in words is "twenty billion, one hundred twenty-one million, two hundred twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 104798021 209596042 314394063 419192084 628788126 838384168 1257576252 1676768336 2515152504 3353536672 5030305008 6707073344 10060610016 20121220032