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61003971 = 3272433217
BaseRepresentation
bin1110100010110…
…1100011000011
311020210022201100
43220231203003
5111104111341
610015305443
71340345100
oct350554303
9136708640
1061003971
1131487206
121851b283
13c83bc32
14815daa7
1555503b6
hex3a2d8c3

61003971 has 36 divisors (see below), whose sum is σ = 104919672. Its totient is φ = 34038144.

The previous prime is 61003967. The next prime is 61003991. The reversal of 61003971 is 17930016.

61003971 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 61003971 - 22 = 61003967 is a prime.

It is not an unprimeable number, because it can be changed into a prime (61003951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17355 + ... + 20571.

Almost surely, 261003971 is an apocalyptic number.

61003971 is a deficient number, since it is larger than the sum of its proper divisors (43915701).

61003971 is a wasteful number, since it uses less digits than its factorization.

61003971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3280 (or 3270 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 61003971 is about 7810.5038889946. The cubic root of 61003971 is about 393.6582601086.

Adding to 61003971 its reverse (17930016), we get a palindrome (78933987).

The spelling of 61003971 in words is "sixty-one million, three thousand, nine hundred seventy-one".

Divisors: 1 3 7 9 21 43 49 63 129 147 301 387 441 903 2107 2709 3217 6321 9651 18963 22519 28953 67557 138331 157633 202671 414993 472899 968317 1244979 1418697 2904951 6778219 8714853 20334657 61003971