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133101469284 = 223721513174729
BaseRepresentation
bin111101111110101110…
…1110011111001100100
3110201120001220012122120
41323331131303321210
54140042434004114
6141051310225540
712421243551600
oct1737535637144
9421501805576
10133101469284
11514a2344993
12219674b52b0
13c7225c5564
146629366500
1536e029c5a9
hex1efd773e64

133101469284 has 144 divisors (see below), whose sum is σ = 364892330880. Its totient is φ = 37650009600.

The previous prime is 133101469217. The next prime is 133101469337. The reversal of 133101469284 is 482964101331.

133101469284 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1331014692842 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28143432 + ... + 28148160.

It is an arithmetic number, because the mean of its divisors is an integer number (2533974520).

Almost surely, 2133101469284 is an apocalyptic number.

133101469284 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 133101469284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182446165440).

133101469284 is an abundant number, since it is smaller than the sum of its proper divisors (231790861596).

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

133101469284 is a wasteful number, since it uses less digits than its factorization.

133101469284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5218 (or 5209 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 133101469284 in words is "one hundred thirty-three billion, one hundred one million, four hundred sixty-nine thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 151 196 294 302 317 453 588 604 634 906 951 1057 1268 1812 1902 2114 2219 3171 3804 4228 4438 4729 6342 6657 7399 8876 9458 12684 13314 14187 14798 15533 18916 22197 26628 28374 29596 31066 33103 44394 46599 47867 56748 62132 66206 88788 93198 95734 99309 132412 143601 186396 191468 198618 231721 287202 335069 397236 463442 574404 670138 695163 714079 926884 1005207 1340276 1390326 1428158 1499093 2010414 2142237 2345483 2780652 2856316 2998186 4020828 4284474 4497279 4690966 4998553 5996372 7036449 8568948 8994558 9381932 9997106 10493651 14072898 14995659 17989116 19994212 20987302 28145796 29991318 31480953 34989871 41974604 59982636 62961906 69979742 73455557 104969613 125923812 139959484 146911114 209939226 220366671 226363043 293822228 419878452 440733342 452726086 679089129 881466684 905452172 1358178258 1584541301 2716356516 3169082602 4753623903 6338165204 9507247806 11091789107 19014495612 22183578214 33275367321 44367156428 66550734642 133101469284