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211221202220120 = 23510948445229867
BaseRepresentation
bin110000000001101011000100…
…101110100011010001011000
31000200212112211202021210121002
4300001223010232203101120
5210141122010232020440
62025121403012204132
762330141203405031
oct6001530456432130
91020775752253532
10211221202220120
1161335455145224
121b834101309648
1390b20c649a881
143a232370ada88
151964535262115
hexc01ac4ba3458

211221202220120 has 32 divisors (see below), whose sum is σ = 479607775693200. Its totient is φ = 83713357208448.

The previous prime is 211221202220099. The next prime is 211221202220123. The reversal of 211221202220120 is 21022202122112.

It is a super-2 number, since 2×2112212022201202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 211221202220092 and 211221202220101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211221202220123) 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 7 ways as a sum of consecutive naturals, for example, 24222610574 + ... + 24222619293.

Almost surely, 2211221202220120 is an apocalyptic number.

211221202220120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211221202220120 is an abundant number, since it is smaller than the sum of its proper divisors (268386573473080).

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

211221202220120 is a wasteful number, since it uses less digits than its factorization.

211221202220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48445229987 (or 48445229983 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 211221202220120 its reverse (21022202122112), we get a palindrome (232243404342232).

The spelling of 211221202220120 in words is "two hundred eleven trillion, two hundred twenty-one billion, two hundred two million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 109 218 436 545 872 1090 2180 4360 48445229867 96890459734 193780919468 242226149335 387561838936 484452298670 968904597340 1937809194680 5280530055503 10561060111006 21122120222012 26402650277515 42244240444024 52805300555030 105610601110060 211221202220120