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1200102020 = 225136177481
BaseRepresentation
bin100011110001000…
…0001101010000100
310002122012111110222
41013202001222010
54424211231040
6315030203512
741511461465
oct10742015204
93078174428
101200102020
11566476457
12295ab3598
1316182ba50
14b5558d6c
157055abb5
hex47881a84

1200102020 has 48 divisors (see below), whose sum is σ = 2718839088. Its totient is φ = 442337280.

The previous prime is 1200101963. The next prime is 1200102023. The reversal of 1200102020 is 202010021.

It can be written as a sum of positive squares in 8 ways, for example, as 154355776 + 1045746244 = 12424^2 + 32338^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1200101989 and 1200102007.

It is not an unprimeable number, because it can be changed into a prime (1200102023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156680 + ... + 164160.

It is an arithmetic number, because the mean of its divisors is an integer number (56642481).

Almost surely, 21200102020 is an apocalyptic number.

1200102020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1200102020 is an abundant number, since it is smaller than the sum of its proper divisors (1518737068).

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

1200102020 is a wasteful number, since it uses less digits than its factorization.

1200102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8120 (or 8118 counting only the distinct ones).

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

The square root of 1200102020 is about 34642.4886519430. The cubic root of 1200102020 is about 1062.6886828924.

Adding to 1200102020 its reverse (202010021), we get a palindrome (1402112041).

The spelling of 1200102020 in words is "one billion, two hundred million, one hundred two thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 617 1234 2468 3085 6170 7481 8021 12340 14962 16042 29924 32084 37405 40105 74810 80210 97253 149620 160420 194506 389012 486265 972530 1945060 4615777 9231554 18463108 23078885 46157770 60005101 92315540 120010202 240020404 300025505 600051010 1200102020