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212021102010210 = 235371031923796401
BaseRepresentation
bin110000001101010100000010…
…011110000101111101100010
31000210201000112010212100102120
4300031110002132011331202
5210242223204103311320
62030533052152525110
762442006362421633
oct6015240236057542
91023630463770376
10212021102010210
116161370a784809
121b94313a0b0796
13913c67275c02c
143a4dc39dcb88a
15197a24e85c440
hexc0d502785f62

212021102010210 has 128 divisors (see below), whose sum is σ = 527710088415744. Its totient is φ = 54473397350400.

The previous prime is 212021102010203. The next prime is 212021102010239. The reversal of 212021102010210 is 12010201120212.

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 212021102010210.

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, 2199318010 + ... + 2199414410.

It is an arithmetic number, because the mean of its divisors is an integer number (4122735065748).

Almost surely, 2212021102010210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212021102010210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263855044207872).

212021102010210 is an abundant number, since it is smaller than the sum of its proper divisors (315688986405534).

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

212021102010210 is a wasteful number, since it uses less digits than its factorization.

212021102010210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115788.

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

Adding to 212021102010210 its reverse (12010201120212), we get a palindrome (224031303130422).

The spelling of 212021102010210 in words is "two hundred twelve trillion, twenty-one billion, one hundred two million, ten thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 37 74 103 111 185 206 222 309 370 515 555 618 1030 1110 1545 3090 3811 7622 11433 19055 19237 22866 38110 38474 57165 57711 96185 96401 114330 115422 192370 192802 288555 289203 482005 577110 578406 711769 964010 1423538 1446015 1981411 2135307 2892030 3558845 3566837 3962822 4270614 5944233 7117690 7133674 9907055 9929303 10676535 10700511 11888466 17834185 19814110 19858606 21353070 21401022 29721165 29787909 35668370 49646515 53502555 59442330 59575818 73312207 99293030 107005110 146624414 148939545 219936621 297879090 366561035 367384211 439873242 733122070 734768422 1099683105 1102152633 1836921055 1854466037 2199366210 2204305266 3673842110 3708932074 5510763165 5563398111 9272330185 11021526330 11126796222 18544660370 27816990555 55633981110 68615243369 137230486738 191010001811 205845730107 343076216845 382020003622 411691460214 573030005433 686152433690 955050009055 1029228650535 1146060010866 1910100018110 2058457301070 2865150027165 5730300054330 7067370067007 14134740134014 21202110201021 35336850335035 42404220402042 70673700670070 106010551005105 212021102010210