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120200102020 = 225731014091993
BaseRepresentation
bin110111111110001111…
…1000000000010000100
3102111020221200211212101
41233330133000002010
53432132211231040
6131115201201444
711453446003135
oct1577437000204
9374227624771
10120200102020
1146a81907799
121b366930284
13b4477a8c2b
145b63b53c8c
1531d783009a
hex1bfc7c0084

120200102020 has 96 divisors (see below), whose sum is σ = 259173260640. Its totient is φ = 46813593600.

The previous prime is 120200102003. The next prime is 120200102023. The reversal of 120200102020 is 20201002021.

It can be written as a sum of positive squares in 16 ways, for example, as 6123688516 + 114076413504 = 78254^2 + 337752^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 120200101988 and 120200102006.

It is not an unprimeable number, because it can be changed into a prime (120200102023) 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 31 ways as a sum of consecutive naturals, for example, 60310144 + ... + 60312136.

It is an arithmetic number, because the mean of its divisors is an integer number (2699721465).

Almost surely, 2120200102020 is an apocalyptic number.

120200102020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120200102020 is an abundant number, since it is smaller than the sum of its proper divisors (138973158620).

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

120200102020 is a wasteful number, since it uses less digits than its factorization.

120200102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2585 (or 2583 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 120200102020 its reverse (20201002021), we get a palindrome (140401104041).

Subtracting from 120200102020 its reverse (20201002021), we obtain a palindrome (99999099999).

The spelling of 120200102020 in words is "one hundred twenty billion, two hundred million, one hundred two thousand, twenty".

Divisors: 1 2 4 5 10 20 73 101 146 202 292 365 404 409 505 730 818 1010 1460 1636 1993 2020 2045 3986 4090 7373 7972 8180 9965 14746 19930 29492 29857 36865 39860 41309 59714 73730 82618 119428 145489 147460 149285 165236 201293 206545 290978 298570 402586 413090 581956 597140 727445 805172 815137 826180 1006465 1454890 1630274 2012930 2909780 3015557 3260548 4025860 4075685 6031114 8151370 12062228 14694389 15077785 16302740 29388778 30155570 58777556 59505001 60311140 73471945 82328837 119010002 146943890 164657674 238020004 293887780 297525005 329315348 411644185 595050010 823288370 1190100020 1646576740 6010005101 12020010202 24040020404 30050025505 60100051010 120200102020