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210202120212 = 223724617611019
BaseRepresentation
bin1100001111000100000…
…1011101000000010100
3202002120100101002102120
43003301001131000110
511420443220321322
6240322052535540
721121001353500
oct3036101350024
9662510332376
10210202120212
1181167687107
12348a43215b0
1316a8bb569b6
14a261019300
155703e59a5c
hex30f105d014

210202120212 has 144 divisors (see below), whose sum is σ = 573099468480. Its totient is φ = 59789990400.

The previous prime is 210202120189. The next prime is 210202120229. The reversal of 210202120212 is 212021202012.

It is a junction number, because it is equal to n+sod(n) for n = 210202120191 and 210202120200.

It is a congruent number.

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, 206282239 + ... + 206283257.

It is an arithmetic number, because the mean of its divisors is an integer number (3979857420).

Almost surely, 2210202120212 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 210202120212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286549734240).

210202120212 is an abundant number, since it is smaller than the sum of its proper divisors (362897348268).

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

210202120212 is a wasteful number, since it uses less digits than its factorization.

210202120212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2262 (or 2253 counting only the distinct ones).

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

Adding to 210202120212 its reverse (212021202012), we get a palindrome (422223322224).

The spelling of 210202120212 in words is "two hundred ten billion, two hundred two million, one hundred twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 461 588 761 922 1019 1383 1522 1844 2038 2283 2766 3044 3057 3227 4076 4566 5327 5532 6114 6454 7133 9132 9681 10654 12228 12908 14266 15981 19362 21308 21399 22589 28532 31962 37289 38724 42798 45178 49931 63924 67767 74578 85596 90356 99862 111867 135534 149156 149793 199724 223734 271068 299586 350821 447468 469759 599172 701642 775459 939518 1052463 1403284 1409277 1550918 1879036 2104926 2326377 2455747 2818554 3101836 3288313 4209852 4652754 4911494 5428213 5637108 6576626 7367241 9305508 9822988 9864939 10856426 13153252 14734482 16284639 17190229 19729878 21712852 23018191 29468964 32569278 34380458 37997491 39459756 46036382 51570687 65138556 68760916 69054573 75994982 92072764 103141374 113992473 138109146 151989964 206282748 227984946 276218292 357486599 455969892 714973198 1072459797 1429946396 2144919594 2502406193 4289839188 5004812386 7507218579 10009624772 15014437158 17516843351 30028874316 35033686702 52550530053 70067373404 105101060106 210202120212