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211020201221100 = 223521451484769587
BaseRepresentation
bin101111111110101111111000…
…001000100101101111101100
31000200011100000122110002120220
4233332233320020211233230
5210124323333003033400
62024445201523211340
762306464206166365
oct5776577010455754
91020140018402526
10211020201221100
116126818a338707
121b801166516b50
1390991729818ab
143a1760a0a0b6c
15195e1bdeb07a0
hexbfebf8225bec

211020201221100 has 72 divisors (see below), whose sum is σ = 610972563461568. Its totient is φ = 56233271976000.

The previous prime is 211020201221057. The next prime is 211020201221101. The reversal of 211020201221100 is 1122102020112.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 211020201221100.

It is not an unprimeable number, because it can be changed into a prime (211020201221101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 241949494 + ... + 242820093.

Almost surely, 2211020201221100 is an apocalyptic number.

211020201221100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211020201221100 is an abundant number, since it is smaller than the sum of its proper divisors (399952362240468).

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

211020201221100 is a wasteful number, since it uses less digits than its factorization.

211020201221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484771055 (or 484771048 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 211020201221100 its reverse (1122102020112), we get a palindrome (212142303241212).

The spelling of 211020201221100 in words is "two hundred eleven trillion, twenty billion, two hundred one million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 1451 2902 4353 5804 7255 8706 14510 17412 21765 29020 36275 43530 72550 87060 108825 145100 217650 435300 484769587 969539174 1454308761 1939078348 2423847935 2908617522 4847695870 5817235044 7271543805 9695391740 12119239675 14543087610 24238479350 29086175220 36357719025 48476958700 72715438050 145430876100 703400670737 1406801341474 2110202012211 2813602682948 3517003353685 4220404024422 7034006707370 8440808048844 10551010061055 14068013414740 17585016768425 21102020122110 35170033536850 42204040244220 52755050305275 70340067073700 105510100610550 211020201221100