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211131002000 = 2453195556079
BaseRepresentation
bin1100010010100001100…
…0110110110010010000
3202011222002020011200202
43010220120312302100
511424344014031000
6240554154034332
721153010622612
oct3045030666220
9664862204622
10211131002000
11815a3a45806
1234b034189a8
1316ba94233a9
14a30c532db2
15575a78ddd5
hex3128636c90

211131002000 has 80 divisors (see below), whose sum is σ = 537384057600. Its totient is φ = 80007523200.

The previous prime is 211131001997. The next prime is 211131002003. The reversal of 211131002000 is 200131112.

It is an interprime number because it is at equal distance from previous prime (211131001997) and next prime (211131002003).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (211131002003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2740040 + ... + 2816039.

It is an arithmetic number, because the mean of its divisors is an integer number (6717300720).

Almost surely, 2211131002000 is an apocalyptic number.

211131002000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211131002000 is an abundant number, since it is smaller than the sum of its proper divisors (326253055600).

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

211131002000 is a wasteful number, since it uses less digits than its factorization.

211131002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5556121 (or 5556105 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 211131002000 its reverse (200131112), we get a palindrome (211331133112).

The spelling of 211131002000 in words is "two hundred eleven billion, one hundred thirty-one million, two thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 125 152 190 200 250 304 380 400 475 500 760 950 1000 1520 1900 2000 2375 3800 4750 7600 9500 19000 38000 5556079 11112158 22224316 27780395 44448632 55560790 88897264 105565501 111121580 138901975 211131002 222243160 277803950 422262004 444486320 527827505 555607900 694509875 844524008 1055655010 1111215800 1389019750 1689048016 2111310020 2222431600 2639137525 2778039500 4222620040 5278275050 5556079000 8445240080 10556550100 11112158000 13195687625 21113100200 26391375250 42226200400 52782750500 105565501000 211131002000