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211101022020 = 22357502621481
BaseRepresentation
bin1100010010011010011…
…0011111011101000100
3202011212222211000220010
43010212212133131010
511424313330201040
6240551203310220
721152165036460
oct3044646373504
9664788730803
10211101022020
1181589029369
1234ab537b370
1316ba3157565
14a30856b4a0
155757d1ae80
hex312699f744

211101022020 has 48 divisors (see below), whose sum is σ = 675523271808. Its totient is φ = 48251662080.

The previous prime is 211101022019. The next prime is 211101022021. The reversal of 211101022020 is 20220101112.

211101022020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (211101022019) and next prime (211101022021).

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

It is a junction number, because it is equal to n+sod(n) for n = 211101021987 and 211101022005.

It is not an unprimeable number, because it can be changed into a prime (211101022021) 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 15 ways as a sum of consecutive naturals, for example, 251310321 + ... + 251311160.

It is an arithmetic number, because the mean of its divisors is an integer number (14073401496).

Almost surely, 2211101022020 is an apocalyptic number.

211101022020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211101022020 is an abundant number, since it is smaller than the sum of its proper divisors (464422249788).

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

211101022020 is a wasteful number, since it uses less digits than its factorization.

211101022020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502621500 (or 502621498 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 211101022020 its reverse (20220101112), we get a palindrome (231321123132).

The spelling of 211101022020 in words is "two hundred eleven billion, one hundred one million, twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 502621481 1005242962 1507864443 2010485924 2513107405 3015728886 3518350367 5026214810 6031457772 7036700734 7539322215 10052429620 10555051101 14073401468 15078644430 17591751835 21110102202 30157288860 35183503670 42220204404 52775255505 70367007340 105550511010 211101022020