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212241122322 = 2343259714567
BaseRepresentation
bin1100010110101010001…
…1101000010000010010
3202021211110010010111020
43011222203220100102
511434132211403242
6241300251500310
721222350526165
oct3055243502022
9667743103436
10212241122322
1182013642619
1235173157696
1317025408618
14a3b5b47adc
1557c2e736ec
hex316a8e8412

212241122322 has 96 divisors (see below), whose sum is σ = 448272092160. Its totient is φ = 66959111520.

The previous prime is 212241122257. The next prime is 212241122347. The reversal of 212241122322 is 223221142212.

It is a junction number, because it is equal to n+sod(n) for n = 212241122292 and 212241122301.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46470483 + ... + 46475049.

It is an arithmetic number, because the mean of its divisors is an integer number (4669500960).

Almost surely, 2212241122322 is an apocalyptic number.

212241122322 is an abundant number, since it is smaller than the sum of its proper divisors (236030969838).

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

212241122322 is a wasteful number, since it uses less digits than its factorization.

212241122322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4788 (or 4745 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

Adding to 212241122322 its reverse (223221142212), we get a palindrome (435462264534).

The spelling of 212241122322 in words is "two hundred twelve billion, two hundred forty-one million, one hundred twenty-two thousand, three hundred twenty-two".

Divisors: 1 2 3 6 43 59 71 86 118 129 142 177 213 258 354 426 1849 2537 3053 3698 4189 4567 5074 5547 6106 7611 8378 9134 9159 11094 12567 13701 15222 18318 25134 27402 109091 131279 180127 196381 218182 262558 269453 324257 327273 360254 392762 393837 538906 540381 589143 648514 654546 787674 808359 972771 1080762 1178286 1616718 1945542 7745461 8444383 11586479 13943051 15490922 16888766 19131163 23172958 23236383 25333149 27886102 34759437 38262326 41829153 46472766 50666298 57393489 69518874 83658306 114786978 498218597 599551193 822640009 996437194 1199102386 1494655791 1645280018 1798653579 2467920027 2989311582 3597307158 4935840054 35373520387 70747040774 106120561161 212241122322