Search a number
-
+
1031131101 = 3711132314929
BaseRepresentation
bin111101011101011…
…100111111011101
32122212020212221210
4331131130333131
54102432143401
6250152415033
734360320060
oct7535347735
92585225853
101031131101
1148a057070
122493a7479
13135819c60
149ad328d7
15607d04d6
hex3d75cfdd

1031131101 has 64 divisors (see below), whose sum is σ = 1926328320. Its totient is φ = 472919040.

The previous prime is 1031131097. The next prime is 1031131103. The reversal of 1031131101 is 1011311301.

It is not a de Polignac number, because 1031131101 - 22 = 1031131097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1031131103) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61605 + ... + 76533.

It is an arithmetic number, because the mean of its divisors is an integer number (30098880).

Almost surely, 21031131101 is an apocalyptic number.

1031131101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1031131101 is a deficient number, since it is larger than the sum of its proper divisors (895197219).

1031131101 is a wasteful number, since it uses less digits than its factorization.

1031131101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14986.

The product of its (nonzero) digits is 9, while the sum is 12.

The square root of 1031131101 is about 32111.2301383799. The cubic root of 1031131101 is about 1010.2711754291.

Adding to 1031131101 its reverse (1011311301), we get a palindrome (2042442402).

The spelling of 1031131101 in words is "one billion, thirty-one million, one hundred thirty-one thousand, one hundred one".

Divisors: 1 3 7 11 13 21 23 33 39 69 77 91 143 161 231 253 273 299 429 483 759 897 1001 1771 2093 3003 3289 5313 6279 9867 14929 23023 44787 69069 104503 164219 194077 313509 343367 492657 582231 1030101 1149533 1358539 2134847 2403569 3448599 3777037 4075617 4463771 6404541 7210707 11331111 13391313 14943929 26439259 31246397 44831787 49101481 79317777 93739191 147304443 343710367 1031131101