Search a number
-
+
102003323301210 = 235311313672281361
BaseRepresentation
bin10111001100010101111111…
…110110011110110101011010
3111101011102101222112120110210
4113030111333312132311122
5101332210301231114320
61000535402501351550
730325332304221162
oct2714257766366532
9441142358476423
10102003323301210
112a557403867391
12b534b167085b6
1344bbb4505a526
141b28db6bc55a2
15bbd5194040e0
hex5cc57fd9ed5a

102003323301210 has 128 divisors (see below), whose sum is σ = 255327990939648. Its totient is φ = 26051306112000.

The previous prime is 102003323301203. The next prime is 102003323301221. The reversal of 102003323301210 is 12103323300201.

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, 43570930 + ... + 45852290.

It is an arithmetic number, because the mean of its divisors is an integer number (1994749929216).

Almost surely, 2102003323301210 is an apocalyptic number.

102003323301210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102003323301210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127663995469824).

102003323301210 is an abundant number, since it is smaller than the sum of its proper divisors (153324667638438).

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

102003323301210 is a wasteful number, since it uses less digits than its factorization.

102003323301210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2281900.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 102003323301210 its reverse (12103323300201), we get a palindrome (114106646601411).

The spelling of 102003323301210 in words is "one hundred two trillion, three billion, three hundred twenty-three million, three hundred one thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 131 155 186 262 310 367 393 465 655 734 786 930 1101 1310 1835 1965 2202 3670 3930 4061 5505 8122 11010 11377 12183 20305 22754 24366 34131 40610 48077 56885 60915 68262 96154 113770 121830 144231 170655 240385 288462 341310 480770 721155 1442310 1490387 2281361 2980774 4471161 4562722 6844083 7451935 8942322 11406805 13688166 14903870 22355805 22813610 34220415 44711610 68440830 70722191 141444382 212166573 298858291 353610955 424333146 597716582 707221910 837259487 896574873 1060832865 1494291455 1674518974 1793149746 2121665730 2511778461 2988582910 4186297435 4482874365 5023556922 8372594870 8965748730 9264607021 12558892305 18529214042 25117784610 25955044097 27793821063 46323035105 51910088194 55587642126 77865132291 92646070210 109680992797 129775220485 138969105315 155730264582 219361985594 259550440970 277938210630 329042978391 389325661455 548404963985 658085956782 778651322910 1096809927970 1645214891955 3290429783910 3400110776707 6800221553414 10200332330121 17000553883535 20400664660242 34001107767070 51001661650605 102003323301210