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211320201000 = 2335370440067
BaseRepresentation
bin1100010011001110101…
…0100101111100101000
3202012110021020110221010
43010303222211330220
511430240432413000
6241025033143520
721160466033316
oct3046352457450
9665407213833
10211320201000
1181690820817
1234b5685aba0
1316c0969836c
14a3297030b6
15576c1b2d50
hex3133aa5f28

211320201000 has 64 divisors (see below), whose sum is σ = 659319036480. Its totient is φ = 56352052800.

The previous prime is 211320200999. The next prime is 211320201061. The reversal of 211320201000 is 102023112.

211320201000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35217034 + ... + 35223033.

It is an arithmetic number, because the mean of its divisors is an integer number (10301859945).

Almost surely, 2211320201000 is an apocalyptic number.

211320201000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211320201000 is an abundant number, since it is smaller than the sum of its proper divisors (447998835480).

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

211320201000 is a wasteful number, since it uses less digits than its factorization.

211320201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70440091 (or 70440077 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 211320201000 its reverse (102023112), we get a palindrome (211422224112).

The spelling of 211320201000 in words is "two hundred eleven billion, three hundred twenty million, two hundred one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 70440067 140880134 211320201 281760268 352200335 422640402 563520536 704400670 845280804 1056601005 1408801340 1690561608 1761001675 2113202010 2817602680 3522003350 4226404020 5283005025 7044006700 8452808040 8805008375 10566010050 14088013400 17610016750 21132020100 26415025125 35220033500 42264040200 52830050250 70440067000 105660100500 211320201000