Search a number
-
+
102206166545310 = 235433130322032741
BaseRepresentation
bin10111001111010010111010…
…010000000011001110011110
3111101212210222110220000122020
4113033102322100003032132
5101344021212113422220
61001212510440201010
730346103041312452
oct2717227220031636
9441783873800566
10102206166545310
112a6254345619a3
12b5682a6469166
134505000437c59
141b34b3a746662
15bc393c2a6040
hex5cf4ba40339e

102206166545310 has 128 divisors (see below), whose sum is σ = 246251484896256. Its totient is φ = 27148922357760.

The previous prime is 102206166545267. The next prime is 102206166545317. The reversal of 102206166545310 is 13545661602201.

It is a super-2 number, since 2×1022061665453102 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102206166545317) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37287910540 + ... + 37287913280.

It is an arithmetic number, because the mean of its divisors is an integer number (1923839725752).

Almost surely, 2102206166545310 is an apocalyptic number.

102206166545310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102206166545310 is an abundant number, since it is smaller than the sum of its proper divisors (144045318350946).

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

102206166545310 is a wasteful number, since it uses less digits than its factorization.

102206166545310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6690.

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 102206166545310 in words is "one hundred two trillion, two hundred six billion, one hundred sixty-six million, five hundred forty-five thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 433 866 1299 1303 2165 2203 2598 2606 2741 3909 4330 4406 5482 6495 6515 6609 7818 8223 11015 12990 13030 13218 13705 16446 19545 22030 27410 33045 39090 41115 66090 82230 564199 953899 1128398 1186853 1692597 1907798 2373706 2820995 2861697 2870509 3385194 3560559 3571523 4769495 5641990 5723394 5741018 5934265 6038423 7121118 7143046 8462985 8611527 9538990 10714569 11868530 12076846 14308485 14352545 16925970 17223054 17802795 17857615 18115269 21429138 28616970 28705090 30192115 35605590 35715230 36230538 43057635 53572845 60384230 86115270 90576345 107145690 181152690 1242930397 1546469459 2485860794 2614637159 3092938918 3728791191 4639408377 5229274318 6214651985 7457582382 7732347295 7843911477 7868065169 9278816754 12429303970 13073185795 15464694590 15687822954 15736130338 18643955955 23197041885 23604195507 26146371590 37287911910 39219557385 39340325845 46394083770 47208391014 78439114770 78680651690 118020977535 236041955070 3406872218177 6813744436354 10220616654531 17034361090885 20441233309062 34068722181770 51103083272655 102206166545310