Search a number
-
+
3131941501 = 131731457151
BaseRepresentation
bin1011101010101101…
…1010001001111101
322002021022010001101
42322223122021331
522403234112001
61234440213101
7140420030533
oct27253321175
98067263041
103131941501
111367999007
12734a6a191
133abb2c930
14219d50153
15134e57a01
hexbaada27d

3131941501 has 16 divisors (see below), whose sum is σ = 3686473728. Its totient is φ = 2633184000.

The previous prime is 3131941481. The next prime is 3131941537. The reversal of 3131941501 is 1051491313.

It is a cyclic number.

It is not a de Polignac number, because 3131941501 - 25 = 3131941469 is a prime.

It is a super-2 number, since 2×31319415012 = 19618115131372266002, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3131941501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3131941591) 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 15 ways as a sum of consecutive naturals, for example, 221725 + ... + 235426.

It is an arithmetic number, because the mean of its divisors is an integer number (230404608).

Almost surely, 23131941501 is an apocalyptic number.

3131941501 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

3131941501 is a deficient number, since it is larger than the sum of its proper divisors (554532227).

3131941501 is a wasteful number, since it uses less digits than its factorization.

3131941501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457212.

The product of its (nonzero) digits is 1620, while the sum is 28.

The square root of 3131941501 is about 55963.7516701659. The cubic root of 3131941501 is about 1463.0905790839.

The spelling of 3131941501 in words is "three billion, one hundred thirty-one million, nine hundred forty-one thousand, five hundred one".

Divisors: 1 13 17 31 221 403 527 6851 457151 5942963 7771567 14171681 101030371 184231853 240918577 3131941501