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211222221020020 = 22572296779731671
BaseRepresentation
bin110000000001101100000001…
…011100111101101101110100
31000200212122110202100012022201
4300001230001130331231310
5210141131102040120040
62025122052044434244
762330205354146110
oct6001540134755564
91020778422305281
10211222221020020
1161335928239711
121b834346548984
1390b222958ab52
143a232d2512740
151964594908a9a
hexc01b0173db74

211222221020020 has 96 divisors (see below), whose sum is σ = 509899129044480. Its totient is φ = 71996296020480.

The previous prime is 211222221020017. The next prime is 211222221020023. The reversal of 211222221020020 is 20020122222112.

It is an interprime number because it is at equal distance from previous prime (211222221020017) and next prime (211222221020023).

It is a super-2 number, since 2×2112222210200202 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 211222221020020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211222221020023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16838785 + ... + 26570455.

It is an arithmetic number, because the mean of its divisors is an integer number (5311449260880).

Almost surely, 2211222221020020 is an apocalyptic number.

211222221020020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211222221020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254949564522240).

211222221020020 is an abundant number, since it is smaller than the sum of its proper divisors (298676908024460).

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

211222221020020 is a wasteful number, since it uses less digits than its factorization.

211222221020020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9732593 (or 9732591 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 211222221020020 its reverse (20020122222112), we get a palindrome (231242343242132).

The spelling of 211222221020020 in words is "two hundred eleven trillion, two hundred twenty-two billion, two hundred twenty-one million, twenty thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 229 458 677 916 1145 1354 1603 2290 2708 3206 3385 4580 4739 6412 6770 8015 9478 13540 16030 18956 23695 32060 47390 94780 155033 310066 620132 775165 1085231 1550330 2170462 3100660 4340924 5426155 9731671 10852310 19463342 21704620 38926684 48658355 68121697 97316710 136243394 194633420 272486788 340608485 681216970 1362433940 2228552659 4457105318 6588341267 8914210636 11142763295 13176682534 15599868613 22285526590 26353365068 31199737226 32941706335 44571053180 46118388869 62399474452 65883412670 77999343065 92236777738 131766825340 155998686130 184473555476 230591944345 311997372260 461183888690 922367777380 1508730150143 3017460300286 6034920600572 7543650750715 10561111051001 15087301501430 21122222102002 30174603002860 42244444204004 52805555255005 105611110510010 211222221020020