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133033200324 = 223172397292301
BaseRepresentation
bin111101111100101100…
…1011000101011000100
3110201101022102210020120
41323321121120223010
54134422444402244
6141040431101540
712416454354663
oct1737131305304
9421338383216
10133033200324
1151467856462
12219486718b0
13c71141191b
146620274dda
1536d92b4819
hex1ef9658ac4

133033200324 has 96 divisors (see below), whose sum is σ = 346497129216. Its totient is φ = 39509606400.

The previous prime is 133033200247. The next prime is 133033200331. The reversal of 133033200324 is 423002330331.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 133033200294 and 133033200303.

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, 308974 + ... + 601274.

It is an arithmetic number, because the mean of its divisors is an integer number (3609345096).

Almost surely, 2133033200324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133033200324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173248564608).

133033200324 is an abundant number, since it is smaller than the sum of its proper divisors (213463928892).

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

133033200324 is a wasteful number, since it uses less digits than its factorization.

133033200324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292445 (or 292443 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 133033200324 its reverse (423002330331), we get a palindrome (556035530655).

The spelling of 133033200324 in words is "one hundred thirty-three billion, thirty-three million, two hundred thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 17 23 34 46 51 68 69 92 97 102 138 194 204 276 291 388 391 582 782 1164 1173 1564 1649 2231 2346 3298 4462 4692 4947 6596 6693 8924 9894 13386 19788 26772 37927 75854 113781 151708 227562 292301 455124 584602 876903 1169204 1753806 3507612 4969117 6722923 9938234 13445846 14907351 19876468 20168769 26891692 28353197 29814702 40337538 56706394 59629404 80675076 85059591 113412788 114289691 170119182 228579382 340238364 342869073 457158764 482004349 652123531 685738146 964008698 1304247062 1371476292 1446013047 1928017396 1956370593 2608494124 2892026094 3912741186 5784052188 7825482372 11086100027 22172200054 33258300081 44344400108 66516600162 133033200324