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2010102020 = 2252335312379
BaseRepresentation
bin111011111001111…
…1011100100000100
312012002100202120222
41313303323210010
513104041231040
6531243243512
7100545404513
oct16763734404
95162322528
102010102020
11941717443
12481219598
132605a34a4
14150d6867a
15bb70abb5
hex77cfb904

2010102020 has 48 divisors (see below), whose sum is σ = 4417580160. Its totient is φ = 766841856.

The previous prime is 2010102019. The next prime is 2010102023. The reversal of 2010102020 is 202010102.

It is a junction number, because it is equal to n+sod(n) for n = 2010101989 and 2010102007.

It is not an unprimeable number, because it can be changed into a prime (2010102023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156191 + ... + 168569.

It is an arithmetic number, because the mean of its divisors is an integer number (92032920).

Almost surely, 22010102020 is an apocalyptic number.

2010102020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2010102020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2208790080).

2010102020 is an abundant number, since it is smaller than the sum of its proper divisors (2407478140).

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

2010102020 is a wasteful number, since it uses less digits than its factorization.

2010102020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12764 (or 12762 counting only the distinct ones).

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

The square root of 2010102020 is about 44834.1613058614. The cubic root of 2010102020 is about 1262.0387796030.

Adding to 2010102020 its reverse (202010102), we get a palindrome (2212112122).

The spelling of 2010102020 in words is "two billion, ten million, one hundred two thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 353 460 706 1412 1765 3530 7060 8119 12379 16238 24758 32476 40595 49516 61895 81190 123790 162380 247580 284717 569434 1138868 1423585 2847170 4369787 5694340 8739574 17479148 21848935 43697870 87395740 100505101 201010202 402020404 502525505 1005051010 2010102020