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4033133130 = 2351317957773
BaseRepresentation
bin1111000001100100…
…1011101001001010
3101102002001101120010
43300121023221022
531224440230010
61504112012350
7201642031425
oct36031135112
911362041503
104033133130
11178a664684
129468310b6
134c3752810
142a38da9bc
1518911c620
hexf064ba4a

4033133130 has 64 divisors (see below), whose sum is σ = 10482514560. Its totient is φ = 987207936.

The previous prime is 4033133123. The next prime is 4033133149. The reversal of 4033133130 is 313313304.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 4033133097 and 4033133106.

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, 40924 + ... + 98696.

It is an arithmetic number, because the mean of its divisors is an integer number (163789290).

Almost surely, 24033133130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4033133130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5241257280).

4033133130 is an abundant number, since it is smaller than the sum of its proper divisors (6449381430).

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

4033133130 is a wasteful number, since it uses less digits than its factorization.

4033133130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57975.

The product of its (nonzero) digits is 972, while the sum is 21.

The square root of 4033133130 is about 63506.9533988208. The cubic root of 4033133130 is about 1591.7719693618.

Adding to 4033133130 its reverse (313313304), we get a palindrome (4346446434).

The spelling of 4033133130 in words is "four billion, thirty-three million, one hundred thirty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 179 195 358 390 537 895 1074 1790 2327 2685 4654 5370 6981 11635 13962 23270 34905 57773 69810 115546 173319 288865 346638 577730 751049 866595 1502098 1733190 2253147 3755245 4506294 7510490 10341367 11265735 20682734 22531470 31024101 51706835 62048202 103413670 134437771 155120505 268875542 310241010 403313313 672188855 806626626 1344377710 2016566565 4033133130