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13124060334 = 23272117917123
BaseRepresentation
bin11000011100100000…
…10100010010101110
31020212122020100020200
430032100110102232
5203334224412314
610010142054330
7643140446400
oct141620242256
936778210220
1013124060334
11562520a860
12266327a3a6
131311cbaa98
148c7020b70
1551c2aa709
hex30e4144ae

13124060334 has 144 divisors (see below), whose sum is σ = 36543985920. Its totient is φ = 3365500320.

The previous prime is 13124060311. The next prime is 13124060381. The reversal of 13124060334 is 43306042131.

13124060334 is a `hidden beast` number, since 1 + 3 + 1 + 24 + 0 + 603 + 34 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13124060298 and 13124060307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 757897 + ... + 775019.

It is an arithmetic number, because the mean of its divisors is an integer number (253777680).

Almost surely, 213124060334 is an apocalyptic number.

13124060334 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13124060334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18271992960).

13124060334 is an abundant number, since it is smaller than the sum of its proper divisors (23419925586).

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

13124060334 is a wasteful number, since it uses less digits than its factorization.

13124060334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17235 (or 17225 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The spelling of 13124060334 in words is "thirteen billion, one hundred twenty-four million, sixty thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 49 63 66 77 79 98 99 126 147 154 158 198 231 237 294 441 462 474 539 553 693 711 869 882 1078 1106 1386 1422 1617 1659 1738 2607 3234 3318 3871 4851 4977 5214 6083 7742 7821 9702 9954 11613 12166 15642 17123 18249 23226 34246 34839 36498 42581 51369 54747 69678 85162 102738 109494 119861 127743 154107 188353 239722 255486 308214 359583 376706 383229 565059 719166 766458 839027 1078749 1130118 1318471 1352717 1678054 1695177 2157498 2517081 2636942 2705434 3390354 3955413 4058151 5034162 7551243 7910826 8116302 9229297 9469019 11866239 12174453 14879887 15102486 18458594 18938038 23732478 24348906 27687891 28407057 29759774 44639661 55375782 56814114 66283133 83063673 85221171 89279322 104159209 132566266 133918983 166127346 170442342 198849399 208318418 267837966 312477627 397698798 596548197 624955254 729114463 937432881 1193096394 1458228926 1874865762 2187343389 4374686778 6562030167 13124060334