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133023102202332 = 2232220714153118297
BaseRepresentation
bin11110001111101111011010…
…110000001111000111011100
3122102222212212201011001001100
4132033233122300033013130
5114413422303130433312
61150525545225513100
740006413323352246
oct3617573260170734
9572885781131040
10133023102202332
1139426865319501
1212b04927942790
13592c0423a92a4
1424bc4d1389096
15105a3820895dc
hex78fbdac0f1dc

133023102202332 has 72 divisors (see below), whose sum is σ = 336431812219776. Its totient is φ = 44317436788224.

The previous prime is 133023102202307. The next prime is 133023102202379. The reversal of 133023102202332 is 233202201320331.

133023102202332 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 23 + 102 + 202 + 332 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 133023102202296 and 133023102202305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1124425008 + ... + 1124543304.

It is an arithmetic number, because the mean of its divisors is an integer number (4672664058608).

Almost surely, 2133023102202332 is an apocalyptic number.

133023102202332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133023102202332 is an abundant number, since it is smaller than the sum of its proper divisors (203408710017444).

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

133023102202332 is a wasteful number, since it uses less digits than its factorization.

133023102202332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134667 (or 134662 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 133023102202332 its reverse (233202201320331), we get a palindrome (366225303522663).

The spelling of 133023102202332 in words is "one hundred thirty-three trillion, twenty-three billion, one hundred two million, two hundred two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 2207 4414 6621 8828 13242 14153 19863 26484 28306 39726 42459 56612 79452 84918 118297 127377 169836 236594 254754 354891 473188 509508 709782 1064673 1419564 2129346 4258692 31235671 62471342 93707013 124942684 187414026 261081479 281121039 374828052 522162958 562242078 783244437 1044325916 1124484156 1566488874 1674257441 2349733311 3132977748 3348514882 4699466622 5022772323 6697029764 9398933244 10045544646 15068316969 20091089292 30136633938 60273267876 3695086172287 7390172344574 11085258516861 14780344689148 22170517033722 33255775550583 44341034067444 66511551101166 133023102202332