Search a number
-
+
102231423230104 = 23771181304946591
BaseRepresentation
bin10111001111101010011011…
…101010101010000010011000
3111101222020011122210112210101
4113033222123222222002120
5101344424423321330404
61001232244550425144
730350655653510140
oct2717523352520230
9441866148715711
10102231423230104
112a635115278013
12b5711749621b4
1345074c6bb475c
141b36054c29920
15bc441977d2a4
hex5cfa9baaa098

102231423230104 has 128 divisors (see below), whose sum is σ = 223458213888000. Its totient is φ = 42942711168000.

The previous prime is 102231423230021. The next prime is 102231423230113. The reversal of 102231423230104 is 401032324132201.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2194207849 + ... + 2194254439.

It is an arithmetic number, because the mean of its divisors is an integer number (1745767296000).

Almost surely, 2102231423230104 is an apocalyptic number.

102231423230104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102231423230104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111729106944000).

102231423230104 is an abundant number, since it is smaller than the sum of its proper divisors (121226790657896).

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

102231423230104 is a wasteful number, since it uses less digits than its factorization.

102231423230104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49905 (or 49901 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 102231423230104 its reverse (401032324132201), we get a palindrome (503263747362305).

The spelling of 102231423230104 in words is "one hundred two trillion, two hundred thirty-one billion, four hundred twenty-three million, two hundred thirty thousand, one hundred four".

Divisors: 1 2 4 7 8 14 28 56 71 142 181 284 362 497 568 724 994 1267 1448 1988 2534 3049 3976 5068 6098 10136 12196 12851 21343 24392 25702 42686 46591 51404 85372 89957 93182 102808 170744 179914 186364 216479 326137 359828 372728 432958 551869 652274 719656 865916 1103738 1304548 1515353 1731832 2207476 2609096 3030706 3307961 3863083 4414952 6061412 6615922 7726166 8432971 12122824 13231844 15452332 16865942 23155727 26463688 30904664 33731884 39182699 46311454 59030797 67463768 78365398 92622908 118061594 142055959 156730796 185245816 236123188 274278893 284111918 313461592 472246376 548557786 568223836 598740941 994391713 1097115572 1136447672 1197481882 1988783426 2194231144 2394963764 3977566852 4191186587 4789927528 7955133704 8382373174 10085973089 16764746348 20171946178 25712128579 33529492696 40343892356 51424257158 70601811623 80687784712 102848514316 141203623246 179984900053 205697028632 282407246492 359969800106 564814492984 719939600212 1439879200424 1825561129109 3651122258218 7302244516436 12778927903763 14604489032872 25557855807526 51115711615052 102231423230104