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212111124330 = 23573761344533
BaseRepresentation
bin1100010110001011001…
…1101110011101101010
3202021111101111112202210
43011202303232131222
511433400421434310
6241235325305550
721216211544250
oct3054263563552
9667441445683
10212111124330
1181a57222166
12351377052b6
13170044c0a31
14a3a27885d0
1557b6845820
hex3162cee76a

212111124330 has 128 divisors (see below), whose sum is σ = 598502757888. Its totient is φ = 47094193152.

The previous prime is 212111124319. The next prime is 212111124347. The reversal of 212111124330 is 33421111212.

It is a super-2 number, since 2×2121111243302 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 212111124297 and 212111124306.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4740744 + ... + 4785276.

It is an arithmetic number, because the mean of its divisors is an integer number (4675802796).

Almost surely, 2212111124330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212111124330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299251378944).

212111124330 is an abundant number, since it is smaller than the sum of its proper divisors (386391633558).

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

212111124330 is a wasteful number, since it uses less digits than its factorization.

212111124330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45200.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 212111124330 its reverse (33421111212), we get a palindrome (245532235542).

The spelling of 212111124330 in words is "two hundred twelve billion, one hundred eleven million, one hundred twenty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 37 42 70 74 105 111 185 210 222 259 370 518 555 613 777 1110 1226 1295 1554 1839 2590 3065 3678 3885 4291 6130 7770 8582 9195 12873 18390 21455 22681 25746 42910 44533 45362 64365 68043 89066 113405 128730 133599 136086 158767 222665 226810 267198 311731 317534 340215 445330 476301 623462 667995 680430 793835 935193 952602 1335990 1558655 1587670 1647721 1870386 2381505 3117310 3295442 4675965 4763010 4943163 8238605 9351930 9886326 11534047 16477210 23068094 24715815 27298729 34602141 49431630 54597458 57670235 69204282 81896187 115340470 136493645 163792374 173010705 191091103 272987290 346021410 382182206 409480935 573273309 818961870 955455515 1010052973 1146546618 1910911030 2020105946 2866366545 3030158919 5050264865 5732733090 6060317838 7070370811 10100529730 14140741622 15150794595 21211112433 30301589190 35351854055 42422224866 70703708110 106055562165 212111124330