Search a number
-
+
210202202121999 = 3972173193271823
BaseRepresentation
bin101111110010110110000011…
…100101101010011100001111
31000120021010121212211101101020
4233302312003211222130033
5210022423102220400444
62023021320351445223
762163415344443643
oct5762660345523417
91016233555741336
10210202202121999
1160a822871573aa
121b6aa718226813
139039ca0a2ba29
1439c9bab4a4c23
151947c95942119
hexbf2d8396a70f

210202202121999 has 96 divisors (see below), whose sum is σ = 287707099797504. Its totient is φ = 136501750333440.

The previous prime is 210202202121979. The next prime is 210202202122027. The reversal of 210202202121999 is 999121202202012.

It is not a de Polignac number, because 210202202121999 - 211 = 210202202119951 is a prime.

It is a super-3 number, since 3×2102022021219993 (a number of 44 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 210202202121999.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210202202121979) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 255409722702 + ... + 255409723524.

It is an arithmetic number, because the mean of its divisors is an integer number (2996948956224).

Almost surely, 2210202202121999 is an apocalyptic number.

210202202121999 is a deficient number, since it is larger than the sum of its proper divisors (77504897675505).

210202202121999 is a wasteful number, since it uses less digits than its factorization.

210202202121999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1657 (or 1560 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 42.

The spelling of 210202202121999 in words is "two hundred ten trillion, two hundred two billion, two hundred two million, one hundred twenty-one thousand, nine hundred ninety-nine".

Divisors: 1 3 97 173 193 271 291 519 579 813 823 2469 9409 16781 18721 26287 28227 33389 46883 50343 52303 56163 78861 79831 100167 140649 142379 156909 158839 223033 239493 427137 476517 669099 1627757 1815937 2549839 3238733 4547651 4883271 5073391 5447811 7649517 7743607 9048419 9716199 13642953 13810763 15220173 15407383 21634201 23230821 27145257 27479147 38584709 41432289 43045369 46222149 64902603 82437441 115754127 129136107 314157101 441122147 492118927 877696643 942471303 1323366441 1339644011 1476356781 1494516151 2098517497 2633089929 2665477259 3742716773 4018932033 4175400793 4483548453 6295552491 7446848837 7996431777 11228150319 12526202379 22340546511 85136574371 255409723113 258551294123 363043526981 405013876921 722344337189 775653882369 1089130580943 1215041630763 2167033011567 70067400707333 210202202121999