Search a number
-
+
2021202010200 = 2335215312200307
BaseRepresentation
bin11101011010011001000…
…001110010000001011000
321011020002001011120020010
4131122121001302001120
5231103410203311300
64144305525401520
7266012161421622
oct35323101620130
97136061146203
102021202010200
1170a20692996a
122878805692a0
131187a1c88439
146db80669c12
153789952ea50
hex1d699072058

2021202010200 has 96 divisors (see below), whose sum is σ = 6269821652160. Its totient is φ = 538634908800.

The previous prime is 2021202010193. The next prime is 2021202010241. The reversal of 2021202010200 is 20102021202.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 181554 + ... + 2018753.

It is an arithmetic number, because the mean of its divisors is an integer number (65310642210).

Almost surely, 22021202010200 is an apocalyptic number.

2021202010200 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 2021202010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3134910826080).

2021202010200 is an abundant number, since it is smaller than the sum of its proper divisors (4248619641960).

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

2021202010200 is a wasteful number, since it uses less digits than its factorization.

2021202010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2201857 (or 2201848 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2021202010200 its reverse (20102021202), we get a palindrome (2041304031402).

The spelling of 2021202010200 in words is "two trillion, twenty-one billion, two hundred two million, ten thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 1531 3062 4593 6124 7655 9186 12248 15310 18372 22965 30620 36744 38275 45930 61240 76550 91860 114825 153100 183720 229650 306200 459300 918600 2200307 4400614 6600921 8801228 11001535 13201842 17602456 22003070 26403684 33004605 44006140 52807368 55007675 66009210 88012280 110015350 132018420 165023025 220030700 264036840 330046050 440061400 660092100 1320184200 3368670017 6737340034 10106010051 13474680068 16843350085 20212020102 26949360136 33686700170 40424040204 50530050255 67373400340 80848080408 84216750425 101060100510 134746800680 168433500850 202120201020 252650251275 336867001700 404240402040 505300502550 673734003400 1010601005100 2021202010200