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211223311020100 = 225225431441157637
BaseRepresentation
bin110000000001101101000010…
…011010111111000001000100
31000200212202021201100221100001
4300001231002122333001010
5210141140320110120400
62025122352143131044
762330244361042651
oct6001550232770104
91020782251327301
10211223311020100
1161336337543925
121b8345ab5a3a84
1390b237134a002
143a233971aac28
15196460a466a6a
hexc01b426bf044

211223311020100 has 72 divisors (see below), whose sum is σ = 458574601097088. Its totient is φ = 84448774396800.

The previous prime is 211223311020091. The next prime is 211223311020103. The reversal of 211223311020100 is 1020113322112.

It is not an unprimeable number, because it can be changed into a prime (211223311020103) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3664688482 + ... + 3664746118.

It is an arithmetic number, because the mean of its divisors is an integer number (6369091681904).

Almost surely, 2211223311020100 is an apocalyptic number.

211223311020100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211223311020100 is an abundant number, since it is smaller than the sum of its proper divisors (247351290076988).

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

211223311020100 is a wasteful number, since it uses less digits than its factorization.

211223311020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74605 (or 74598 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 211223311020100 its reverse (1020113322112), we get a palindrome (212243424342212).

The spelling of 211223311020100 in words is "two hundred eleven trillion, two hundred twenty-three billion, three hundred eleven million, twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2543 5086 10172 12715 14411 25430 28822 50860 57637 57644 63575 72055 115274 127150 144110 230548 254300 288185 288220 360275 576370 720550 1152740 1440925 1441100 2881850 5763700 36647173 73294346 146570891 146588692 183235865 293141782 366471730 586283564 732854455 732943460 830606807 916179325 1465708910 1661213614 1832358650 2931417820 3322427228 3664272275 3664717300 4153034035 7328544550 8306068070 14657089100 16612136140 20765170175 41530340350 83060680700 2112233110201 4224466220402 8448932440804 10561165551005 21122331102010 42244662204020 52805827755025 105611655510050 211223311020100