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120021000020 = 22571179472189
BaseRepresentation
bin110111111000111001…
…1110001111101010100
3102110210110200112002222
41233301303301331110
53431300334000040
6131045322321512
711446142444645
oct1576163617524
9373713615088
10120021000020
114699a7a8809
121b316959298
13b41965aa0c
145b480516cc
1531c6c52bb5
hex1bf1cf1f54

120021000020 has 48 divisors (see below), whose sum is σ = 257022460800. Its totient is φ = 47067699840.

The previous prime is 120021000019. The next prime is 120021000031. The reversal of 120021000020 is 20000120021.

120021000020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 120020999971 and 120021000007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18086 + ... + 490274.

It is an arithmetic number, because the mean of its divisors is an integer number (5354634600).

Almost surely, 2120021000020 is an apocalyptic number.

120021000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120021000020 is an abundant number, since it is smaller than the sum of its proper divisors (137001460780).

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

120021000020 is a wasteful number, since it uses less digits than its factorization.

120021000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472448 (or 472446 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 120021000020 its reverse (20000120021), we get a palindrome (140021120041).

The spelling of 120021000020 in words is "one hundred twenty billion, twenty-one million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 71 142 179 284 355 358 710 716 895 1420 1790 3580 12709 25418 50836 63545 127090 254180 472189 944378 1888756 2360945 4721890 9443780 33525419 67050838 84521831 134101676 167627095 169043662 335254190 338087324 422609155 670508380 845218310 1690436620 6001050001 12002100002 24004200004 30005250005 60010500010 120021000020