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133033322004 = 223113110123187
BaseRepresentation
bin111101111100101100…
…1110110011000010100
3110201101022122222011020
41323321121312120110
54134423012301004
6141040433441140
712416455402512
oct1737131663024
9421338588136
10133033322004
1151467929920
12219487101b0
13c71145511b
1466202a74b2
1536d92da8d9
hex1ef9676614

133033322004 has 144 divisors (see below), whose sum is σ = 353159804928. Its totient is φ = 38614320000.

The previous prime is 133033321997. The next prime is 133033322021. The reversal of 133033322004 is 400223330331.

It is a happy number.

It is a congruent number.

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, 41740899 + ... + 41744085.

Almost surely, 2133033322004 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 133033322004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176579902464).

133033322004 is an abundant number, since it is smaller than the sum of its proper divisors (220126482924).

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

133033322004 is a wasteful number, since it uses less digits than its factorization.

133033322004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3438 (or 3335 counting only the distinct ones).

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

Adding to 133033322004 its reverse (400223330331), we get a palindrome (533256652335).

The spelling of 133033322004 in words is "one hundred thirty-three billion, thirty-three million, three hundred twenty-two thousand, four".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 101 124 132 186 202 303 341 372 404 606 682 1023 1111 1212 1364 2046 2222 3131 3187 3333 4092 4444 6262 6374 6666 9393 9561 10201 12524 12748 13332 18786 19122 20402 30603 34441 35057 37572 38244 40804 61206 68882 70114 98797 103323 105171 112211 122412 137764 140228 197594 206646 210342 224422 296391 316231 321887 336633 395188 413292 420684 448844 592782 632462 643774 673266 948693 965661 1086767 1185564 1264924 1287548 1346532 1897386 1931322 2173534 3260301 3478541 3540757 3794772 3862644 4347068 6520602 6957082 7081514 9978497 10435623 10622271 13041204 13914164 14163028 19956994 20871246 21244542 29935491 32510587 39913988 41742492 42489084 59870982 65021174 97531761 109763467 119741964 130042348 195063522 219526934 329290401 357616457 390127044 439053868 658580802 715232914 1007828197 1072849371 1317161604 1430465828 2015656394 2145698742 3023484591 4031312788 4291397484 6046969182 11086110167 12093938364 22172220334 33258330501 44344440668 66516661002 133033322004