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211220200000212 = 2231322726717223253
BaseRepresentation
bin110000000001101010001000…
…111111011000101011010100
31000200212110020220102202100020
4300001222020333120223110
5210141112432200001322
62025121115331145140
762330104313600064
oct6001521077305324
91020773226382306
10211220200000212
1161334a90445607
121b833a817451b0
1390b1c96964140
143a2317dd453a4
1519644c729305c
hexc01a88fd8ad4

211220200000212 has 96 divisors (see below), whose sum is σ = 533118935647872. Its totient is φ = 64701815886336.

The previous prime is 211220200000211. The next prime is 211220200000253. The reversal of 211220200000212 is 212000002022112.

It is a super-2 number, since 2×2112202000002122 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211220200000191 and 211220200000200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211220200000211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 945990778 + ... + 946214030.

It is an arithmetic number, because the mean of its divisors is an integer number (5553322246332).

Almost surely, 2211220200000212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211220200000212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266559467823936).

211220200000212 is an abundant number, since it is smaller than the sum of its proper divisors (321898735647660).

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

211220200000212 is a wasteful number, since it uses less digits than its factorization.

211220200000212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250217 (or 250215 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 211220200000212 its reverse (212000002022112), we get a palindrome (423220202022324).

The spelling of 211220200000212 in words is "two hundred eleven trillion, two hundred twenty billion, two hundred million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 227 454 681 908 1362 2724 2951 5902 8853 11804 17706 26717 35412 53434 80151 106868 160302 223253 320604 347321 446506 669759 694642 893012 1041963 1339518 1389284 2083926 2679036 2902289 4167852 5804578 6064759 8706867 11609156 12129518 17413734 18194277 24259036 34827468 36388554 50678431 72777108 78841867 101356862 152035293 157683734 202713724 236525601 304070586 315367468 473051202 608141172 658819603 946102404 1317639206 1976458809 2635278412 3952917618 5964650401 7905835236 11929300802 17893951203 23858601604 35787902406 71575804812 77540455213 155080910426 232621365639 310161820852 465242731278 930485462556 1353975641027 2707951282054 4061926923081 5415902564108 8123853846162 16247707692324 17601683333351 35203366666702 52805050000053 70406733333404 105610100000106 211220200000212