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2021030134020 = 2232594111931929
BaseRepresentation
bin11101011010001110110…
…010001000000100000100
321011012122001202100102200
4131122032302020010010
5231103032203242040
64144240505434500
7266005003460112
oct35321662100404
97135561670380
102021030134020
1170a128905837
12287832a9ba30
1311877549a161
146db658c8ab2
15378893cd630
hex1d68ec88104

2021030134020 has 72 divisors (see below), whose sum is σ = 6136973420760. Its totient is φ = 538368591360.

The previous prime is 2021030133989. The next prime is 2021030134021. The reversal of 2021030134020 is 204310301202.

2021030134020 is a `hidden beast` number, since 2 + 0 + 2 + 1 + 0 + 301 + 340 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 916664545476 + 1104365588544 = 957426^2 + 1050888^2 .

It is a super-2 number, since 2×20210301340202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2021030133984 and 2021030134002.

It is not an unprimeable number, because it can be changed into a prime (2021030134021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5796585 + ... + 6135344.

It is an arithmetic number, because the mean of its divisors is an integer number (85235741955).

Almost surely, 22021030134020 is an apocalyptic number.

2021030134020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2021030134020 is an abundant number, since it is smaller than the sum of its proper divisors (4115943286740).

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

2021030134020 is a wasteful number, since it uses less digits than its factorization.

2021030134020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11932885 (or 11932880 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2021030134020 its reverse (204310301202), we get a palindrome (2225340435222).

The spelling of 2021030134020 in words is "two trillion, twenty-one billion, thirty million, one hundred thirty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 941 1882 2823 3764 4705 5646 8469 9410 11292 14115 16938 18820 28230 33876 42345 56460 84690 169380 11931929 23863858 35795787 47727716 59659645 71591574 107387361 119319290 143183148 178978935 214774722 238638580 357957870 429549444 536936805 715915740 1073873610 2147747220 11227945189 22455890378 33683835567 44911780756 56139725945 67367671134 101051506701 112279451890 134735342268 168419177835 202103013402 224558903780 336838355670 404206026804 505257533505 673676711340 1010515067010 2021030134020