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212122011210 = 23537613311747
BaseRepresentation
bin1100010110001101110…
…1010000011001001010
3202021112010222122202120
43011203131100121022
511433411213324320
6241240354512110
721216403226364
oct3054335203112
9667463878676
10212122011210
1181a6238868a
123513b295636
1317006833185
14a3a3dbdd34
1557b7796440
hex316375064a

212122011210 has 64 divisors (see below), whose sum is σ = 523706712192. Its totient is φ = 54947102976.

The previous prime is 212122011203. The next prime is 212122011259. The reversal of 212122011210 is 12110221212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212122011210.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 524557 + ... + 836303.

It is an arithmetic number, because the mean of its divisors is an integer number (8182917378).

Almost surely, 2212122011210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212122011210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261853356096).

212122011210 is an abundant number, since it is smaller than the sum of its proper divisors (311584700982).

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

212122011210 is a wasteful number, since it uses less digits than its factorization.

212122011210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312407.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 212122011210 its reverse (12110221212), we get a palindrome (224232232422).

The spelling of 212122011210 in words is "two hundred twelve billion, one hundred twenty-two million, eleven thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 370 555 613 1110 1226 1839 3065 3678 6130 9195 18390 22681 45362 68043 113405 136086 226810 311747 340215 623494 680430 935241 1558735 1870482 3117470 4676205 9352410 11534639 23069278 34603917 57673195 69207834 115346390 173019585 191100911 346039170 382201822 573302733 955504555 1146605466 1911009110 2866513665 5733027330 7070733707 14141467414 21212201121 35353668535 42424402242 70707337070 106061005605 212122011210