Search a number
-
+
1035144331 = 131725118661
BaseRepresentation
bin111101101100110…
…000110010001011
32200010210210001221
4331230300302023
54104444104311
6250414422511
734436403334
oct7554606213
92603723057
101035144331
11491348291
1224a801a37
131365c3850
149b69928b
1560d24671
hex3db30c8b

1035144331 has 16 divisors (see below), whose sum is σ = 1185111648. Its totient is φ = 895680000.

The previous prime is 1035144329. The next prime is 1035144353. The reversal of 1035144331 is 1334415301.

It is a cyclic number.

It is not a de Polignac number, because 1035144331 - 21 = 1035144329 is a prime.

It is a super-2 number, since 2×10351443312 = 2143047572002875122, 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 = 1035144296 and 1035144305.

It is not an unprimeable number, because it can be changed into a prime (1035124331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46141 + ... + 64801.

It is an arithmetic number, because the mean of its divisors is an integer number (74069478).

Almost surely, 21035144331 is an apocalyptic number.

1035144331 is a deficient number, since it is larger than the sum of its proper divisors (149967317).

1035144331 is a wasteful number, since it uses less digits than its factorization.

1035144331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18942.

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 1035144331 is about 32173.6589619521. The cubic root of 1035144331 is about 1011.5801592776.

Adding to 1035144331 its reverse (1334415301), we get a palindrome (2369559632).

The spelling of 1035144331 in words is "one billion, thirty-five million, one hundred forty-four thousand, three hundred thirty-one".

Divisors: 1 13 17 221 251 3263 4267 18661 55471 242593 317237 4124081 4683911 60890843 79626487 1035144331