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202410304020 = 22325532400321
BaseRepresentation
bin1011110010000010011…
…0000010001000010100
3201100110022200211000200
42330200212002020110
511304014014212040
6232552551140500
720423626124301
oct2744046021024
9640408624020
10202410304020
11789293812a1
123328a974730
13161197a4b82
149b222640a8
1553e9d83630
hex2f20982214

202410304020 has 108 divisors (see below), whose sum is σ = 625782549756. Its totient is φ = 52957532160.

The previous prime is 202410304001. The next prime is 202410304027. The reversal of 202410304020 is 20403014202.

202410304020 is a `hidden beast` number, since 20 + 241 + 0 + 3 + 0 + 402 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2906935056 + 199503368964 = 53916^2 + 446658^2 .

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 = 202410303984 and 202410304002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202410304027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 305460 + ... + 705780.

Almost surely, 2202410304020 is an apocalyptic number.

202410304020 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 202410304020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312891274878).

202410304020 is an abundant number, since it is smaller than the sum of its proper divisors (423372245736).

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

202410304020 is a wasteful number, since it uses less digits than its factorization.

202410304020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400442 (or 400384 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 202410304020 its reverse (20403014202), we get a palindrome (222813318222).

The spelling of 202410304020 in words is "two hundred two billion, four hundred ten million, three hundred four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 53 60 90 106 159 180 212 265 318 477 530 636 795 954 1060 1590 1908 2385 2809 3180 4770 5618 8427 9540 11236 14045 16854 25281 28090 33708 42135 50562 56180 84270 101124 126405 168540 252810 400321 505620 800642 1200963 1601284 2001605 2401926 3602889 4003210 4803852 6004815 7205778 8006420 12009630 14411556 18014445 21217013 24019260 36028890 42434026 63651039 72057780 84868052 106085065 127302078 190953117 212170130 254604156 318255195 381906234 424340260 636510390 763812468 954765585 1124501689 1273020780 1909531170 2249003378 3373505067 3819062340 4498006756 5622508445 6747010134 10120515201 11245016890 13494020268 16867525335 20241030402 22490033780 33735050670 40482060804 50602576005 67470101340 101205152010 202410304020