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212111222130 = 23352518233803
BaseRepresentation
bin1100010110001011010…
…0000110010101110010
3202021111101200111221000
43011202310012111302
511433400433102010
6241235331342430
721216212432343
oct3054264062562
9667441614830
10212111222130
1181a57289695
1235137751a16
13170045263c2
14a3a27b20ca
1557b68647c0
hex3162d06572

212111222130 has 128 divisors (see below), whose sum is σ = 568722954240. Its totient is φ = 56254392000.

The previous prime is 212111222129. The next prime is 212111222137. The reversal of 212111222130 is 31222111212.

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

It is not an unprimeable number, because it can be changed into a prime (212111222137) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 55772809 + ... + 55776611.

It is an arithmetic number, because the mean of its divisors is an integer number (4443148080).

Almost surely, 2212111222130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212111222130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284361477120).

212111222130 is an abundant number, since it is smaller than the sum of its proper divisors (356611732110).

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

212111222130 is a wasteful number, since it uses less digits than its factorization.

212111222130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4893 (or 4887 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 212111222130 its reverse (31222111212), we get a palindrome (243333333342).

The spelling of 212111222130 in words is "two hundred twelve billion, one hundred eleven million, two hundred twenty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 251 270 502 753 823 1255 1506 1646 2259 2469 2510 3765 3803 4115 4518 4938 6777 7407 7530 7606 8230 11295 11409 12345 13554 14814 19015 22221 22590 22818 24690 33885 34227 37035 38030 44442 57045 67770 68454 74070 102681 111105 114090 171135 205362 206573 222210 342270 413146 513405 619719 954553 1026810 1032865 1239438 1859157 1909106 2065730 2863659 3098595 3129869 3718314 4772765 5577471 5727318 6197190 6259738 8590977 9295785 9389607 9545530 11154942 14318295 15649345 17181954 18591570 18779214 25772931 27887355 28168821 28636590 31298690 42954885 46948035 51545862 55774710 56337642 84506463 85909770 93896070 128864655 140844105 169012926 257729310 281688210 422532315 785597119 845064630 1571194238 2356791357 3927985595 4713582714 7070374071 7855971190 11783956785 14140748142 21211122213 23567913570 35351870355 42422244426 70703740710 106055611065 212111222130