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210022022000010 = 2351123274110095179
BaseRepresentation
bin101111110000001110010000…
…000001000010110110001010
31000112121220112211010211012210
4233300032100001002312022
5210012000100113000020
62022402441314245550
762144406330616563
oct5760162001026612
91015556484124183
10210022022000010
1160a12926179980
121b67b8122868b6
139025cb799cc2c
1439c11977bd16a
15194324c5093e0
hexbf0390042d8a

210022022000010 has 128 divisors (see below), whose sum is σ = 573992875100160. Its totient is φ = 48682986387200.

The previous prime is 210022022000003. The next prime is 210022022000047. The reversal of 210022022000010 is 10000220220012.

It is a self number, because there is not a number n which added to its sum of digits gives 210022022000010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15756601 + ... + 25851779.

It is an arithmetic number, because the mean of its divisors is an integer number (4484319336720).

Almost surely, 2210022022000010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210022022000010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286996437550080).

210022022000010 is an abundant number, since it is smaller than the sum of its proper divisors (363970853100150).

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

210022022000010 is a wasteful number, since it uses less digits than its factorization.

210022022000010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10097964.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 210022022000010 its reverse (10000220220012), we get a palindrome (220022242220022).

The spelling of 210022022000010 in words is "two hundred ten trillion, twenty-two billion, twenty-two million, ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 11 15 22 23 30 33 46 55 66 69 110 115 138 165 230 253 330 345 506 690 759 1265 1518 2530 2741 3795 5482 7590 8223 13705 16446 27410 30151 41115 60302 63043 82230 90453 126086 150755 180906 189129 301510 315215 378258 452265 630430 693473 904530 945645 1386946 1891290 2080419 3467365 4160838 6934730 10095179 10402095 20190358 20804190 30285537 50475895 60571074 100951790 111046969 151427685 222093938 232189117 302855370 333140907 464378234 555234845 666281814 696567351 1110469690 1160945585 1393134702 1665704535 2321891170 2554080287 3331409070 3482836755 5108160574 6965673510 7662240861 12770401435 15324481722 25540802870 27670885639 38311204305 55341771278 76622408610 83012656917 138354428195 166025313834 276708856390 304379742029 415063284585 608759484058 636430369697 830126569170 913139226087 1272860739394 1521898710145 1826278452174 1909291109091 3043797420290 3182151848485 3818582218182 4565696130435 6364303696970 7000734066667 9131392260870 9546455545455 14001468133334 19092911090910 21002202200001 35003670333335 42004404400002 70007340666670 105011011000005 210022022000010