Search a number
-
+
2202110100210 = 2351954761711447
BaseRepresentation
bin100000000010110111111…
…111011000001011110010
321210112000211122201210010
4200002313333120023302
5242034410141201320
64403345125515350
7315045225003516
oct40026777301362
97715024581703
102202110100210
11779a00819559
122b694a272b56
1312c872a99747
1478822cca146
153c436811ae0
hex200b7fd82f2

2202110100210 has 128 divisors (see below), whose sum is σ = 5582916679680. Its totient is φ = 554357067264.

The previous prime is 2202110100161. The next prime is 2202110100251. The reversal of 2202110100210 is 120010112022.

2202110100210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 192368707 + ... + 192380153.

It is an arithmetic number, because the mean of its divisors is an integer number (43616536560).

Almost surely, 22202110100210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2202110100210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2791458339840).

2202110100210 is an abundant number, since it is smaller than the sum of its proper divisors (3380806579470).

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

2202110100210 is a wasteful number, since it uses less digits than its factorization.

2202110100210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12640.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2202110100210 its reverse (120010112022), we get a palindrome (2322120212232).

The spelling of 2202110100210 in words is "two trillion, two hundred two billion, one hundred ten million, one hundred thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 285 547 570 617 1094 1234 1641 1851 2735 3085 3282 3702 5470 6170 8205 9255 10393 11447 11723 16410 18510 20786 22894 23446 31179 34341 35169 51965 57235 58615 62358 68682 70338 103930 114470 117230 155895 171705 175845 217493 311790 337499 343410 351690 434986 652479 674998 1012497 1087465 1304958 1687495 2024994 2174930 3262395 3374990 5062485 6261509 6412481 6524790 7062799 10124970 12523018 12824962 14125598 18784527 19237443 21188397 31307545 32062405 35313995 37569054 38474886 42376794 62615090 64124810 70627990 93922635 96187215 105941985 118968671 134193181 187845270 192374430 211883970 237937342 268386362 356906013 402579543 594843355 670965905 713812026 805159086 1189686710 1341931810 1784530065 2012897715 3569060130 3863351053 4025795430 7726702106 11590053159 19316755265 23180106318 38633510530 57950265795 73403670007 115900531590 146807340014 220211010021 367018350035 440422020042 734036700070 1101055050105 2202110100210