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101010202020 = 2232571337166667
BaseRepresentation
bin101111000010010101…
…1010101110110100100
3100122201120111220220100
41132010223111312210
53123332102431040
6114223051104100
710204061356620
oct1360453256644
9318646456810
10101010202020
1139924697902
12176b0142030
1396a9bac410
144c632a6180
152962c83b30
hex1784ad5da4

101010202020 has 288 divisors, whose sum is σ = 387299098368. Its totient is φ = 20735917056.

The previous prime is 101010201989. The next prime is 101010202021. The reversal of 101010202020 is 20202010101.

101010202020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101010201993 and 101010202011.

It is not an unprimeable number, because it can be changed into a prime (101010202021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 522727 + ... + 689393.

It is an arithmetic number, because the mean of its divisors is an integer number (1344788536).

Almost surely, 2101010202020 is an apocalyptic number.

101010202020 is a gapful number since it is divisible by the number (10) 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 101010202020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193649549184).

101010202020 is an abundant number, since it is smaller than the sum of its proper divisors (286288896348).

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

101010202020 is a wasteful number, since it uses less digits than its factorization.

101010202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166739 (or 166734 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 101010202020 its reverse (20202010101), we get a palindrome (121212212121).

The spelling of 101010202020 in words is "one hundred one billion, ten million, two hundred two thousand, twenty".