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3131472641 = 1117103367443
BaseRepresentation
bin1011101010100110…
…0111101100000001
322002020102021220012
42322221213230001
522403124111031
61234422154305
7140413035563
oct27251475401
98066367805
103131472641
1113676a8820
12734882995
133ab9c73bb
14219c6b333
15134db3b2b
hexbaa67b01

3131472641 has 32 divisors (see below), whose sum is σ = 3670437888. Its totient is φ = 2640119040.

The previous prime is 3131472583. The next prime is 3131472647. The reversal of 3131472641 is 1462741313.

3131472641 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 3131472641 - 214 = 3131456257 is a prime.

It is a super-2 number, since 2×31314726412 = 19612241802663029762, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3131472598 and 3131472607.

It is not an unprimeable number, because it can be changed into a prime (3131472647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7068566 + ... + 7069008.

It is an arithmetic number, because the mean of its divisors is an integer number (114701184).

Almost surely, 23131472641 is an apocalyptic number.

It is an amenable number.

3131472641 is a deficient number, since it is larger than the sum of its proper divisors (538965247).

3131472641 is a wasteful number, since it uses less digits than its factorization.

3131472641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 941.

The product of its digits is 12096, while the sum is 32.

The square root of 3131472641 is about 55959.5625518999. The cubic root of 3131472641 is about 1463.0175659190.

The spelling of 3131472641 in words is "three billion, one hundred thirty-one million, four hundred seventy-two thousand, six hundred forty-one".

Divisors: 1 11 17 103 187 367 443 1133 1751 4037 4873 6239 7531 19261 37801 45629 68629 82841 162581 415811 501919 642617 775693 1788391 2763877 7068787 8532623 16745843 30402647 184204273 284679331 3131472641