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211000301200 = 24521340576981
BaseRepresentation
bin1100010010000010011…
…0010001011010010000
3202011121222021212220101
43010200212101122100
511424112034114300
6240533204422144
721146532652663
oct3044046213220
9664558255811
10211000301200
1181537195317
1234a876a7954
1316b88320940
14a2d902d6da
15574e072b6a
hex3120991690

211000301200 has 60 divisors (see below), whose sum is σ = 545922715828. Its totient is φ = 77907801600.

The previous prime is 211000301153. The next prime is 211000301201. The reversal of 211000301200 is 2103000112.

It can be written as a sum of positive squares in 6 ways, for example, as 616628224 + 210383672976 = 24832^2 + 458676^2 .

It is a super-2 number, since 2×2110003012002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (211000301201) 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 11 ways as a sum of consecutive naturals, for example, 20283291 + ... + 20293690.

Almost surely, 2211000301200 is an apocalyptic number.

211000301200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211000301200 is an abundant number, since it is smaller than the sum of its proper divisors (334922414628).

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

211000301200 is a wasteful number, since it uses less digits than its factorization.

211000301200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40577012 (or 40577001 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 211000301200 its reverse (2103000112), we get a palindrome (213103301312).

The spelling of 211000301200 in words is "two hundred eleven billion, three hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 200 208 260 325 400 520 650 1040 1300 2600 5200 40576981 81153962 162307924 202884905 324615848 405769810 527500753 649231696 811539620 1014424525 1055001506 1623079240 2028849050 2110003012 2637503765 3246158480 4057698100 4220006024 5275007530 8115396200 8440012048 10550015060 13187518825 16230792400 21100030120 26375037650 42200060240 52750075300 105500150600 211000301200