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213000002112222 = 232133794681151307
BaseRepresentation
bin110000011011100011101101…
…011101101000101011011110
31000221011121020101002220021100
4300123203231131220223132
5210404243001020042342
62033002503343213530
762602512421124253
oct6033435535505336
91027147211086240
10213000002112222
1161960880325a86
121ba809b18a72a6
1391b0a77506820
143a8538003942a
1519959439e1e4c
hexc1b8ed768ade

213000002112222 has 96 divisors (see below), whose sum is σ = 498331708318080. Its totient is φ = 65362867133760.

The previous prime is 213000002112203. The next prime is 213000002112223. The reversal of 213000002112222 is 222211200000312.

It is a super-2 number, since 2×2130000021122222 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 213000002112195 and 213000002112204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213000002112223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4151454693 + ... + 4151505999.

It is an arithmetic number, because the mean of its divisors is an integer number (5190955294980).

Almost surely, 2213000002112222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213000002112222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249165854159040).

213000002112222 is an abundant number, since it is smaller than the sum of its proper divisors (285331706205858).

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

213000002112222 is a wasteful number, since it uses less digits than its factorization.

213000002112222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98518 (or 98515 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 213000002112222 its reverse (222211200000312), we get a palindrome (435211202112534).

The spelling of 213000002112222 in words is "two hundred thirteen trillion, two million, one hundred twelve thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 379 758 1137 2274 3411 4927 6822 9854 14781 29562 44343 46811 51307 88686 93622 102614 140433 153921 280866 307842 421299 461763 608543 666991 842598 923526 1217086 1333982 1825629 2000973 3651258 4001946 5476887 6002919 10953774 12005838 17741369 19445353 35482738 38890706 53224107 58336059 106448214 116672118 159672321 175008177 230637797 252789589 319344642 350016354 461275594 505579178 691913391 758368767 1383826782 1516737534 2075740173 2275106301 2401731977 4151480346 4550212602 4803463954 7205195931 14410391862 21615587793 31222515701 43231175586 62445031402 93667547103 187335094206 281002641309 562005282618 910256419283 1820512838566 2730769257849 5461538515698 8192307773547 11833333450679 16384615547094 23666666901358 35500000352037 71000000704074 106500001056111 213000002112222