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4001000133 = 313217736359
BaseRepresentation
bin1110111001111010…
…0110101011000101
3101022211120212101010
43232132212223011
531143224001013
61501003152433
7201101640264
oct35636465305
911284525333
104001000133
111773507689
12937b15719
134b9bb1a00
1429d5345db
151863c17c3
hexee7a6ac5

4001000133 has 48 divisors (see below), whose sum is σ = 6201152640. Its totient is φ = 2285217792.

The previous prime is 4001000123. The next prime is 4001000137. The reversal of 4001000133 is 3310001004.

It is not a de Polignac number, because 4001000133 - 29 = 4000999621 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4001000137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 626008 + ... + 632366.

It is an arithmetic number, because the mean of its divisors is an integer number (129190680).

Almost surely, 24001000133 is an apocalyptic number.

It is an amenable number.

4001000133 is a deficient number, since it is larger than the sum of its proper divisors (2200152507).

4001000133 is a wasteful number, since it uses less digits than its factorization.

4001000133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6478 (or 6465 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 4001000133 is about 63253.4594547998. The cubic root of 4001000133 is about 1587.5333419579.

Adding to 4001000133 its reverse (3310001004), we get a palindrome (7311001137).

The spelling of 4001000133 in words is "four billion, one million, one hundred thirty-three", and thus it is an aban number.

Divisors: 1 3 13 17 39 51 73 169 219 221 507 663 949 1241 2847 2873 3723 6359 8619 12337 16133 19077 37011 48399 82667 108103 209729 248001 324309 464207 629187 1074671 1392621 1405339 3224013 4216017 6034691 7891519 18104073 18269407 23674557 54808221 78450983 102589747 235352949 307769241 1333666711 4001000133