Search a number
-
+
1023330131001 = 3519221643953
BaseRepresentation
bin11101110010000110011…
…10101001110000111001
310121211101122011212200000
432321003032221300321
5113231240003143001
62102040020103213
7133635034410453
oct16710316516071
93554348155600
101023330131001
11364aa01a96a2
121463b3234b09
1375665875299
143775ab0d2d3
151b944a37a86
hexee433a9c39

1023330131001 has 24 divisors (see below), whose sum is σ = 1613567985120. Its totient is φ = 646313764032.

The previous prime is 1023330130981. The next prime is 1023330131053. The reversal of 1023330131001 is 1001310333201.

It is a happy number.

1023330131001 is a `hidden beast` number, since 1 + 0 + 23 + 330 + 1 + 310 + 0 + 1 = 666.

It is not a de Polignac number, because 1023330131001 - 210 = 1023330129977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1023330131081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110817360 + ... + 110826593.

It is an arithmetic number, because the mean of its divisors is an integer number (67231999380).

Almost surely, 21023330131001 is an apocalyptic number.

It is an amenable number.

1023330131001 is a deficient number, since it is larger than the sum of its proper divisors (590237854119).

1023330131001 is an equidigital number, since it uses as much as digits as its factorization.

1023330131001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221643987 (or 221643975 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1023330131001 its reverse (1001310333201), we get a palindrome (2024640464202).

The spelling of 1023330131001 in words is "one trillion, twenty-three billion, three hundred thirty million, one hundred thirty-one thousand, one".

Divisors: 1 3 9 19 27 57 81 171 243 513 1539 4617 221643953 664931859 1994795577 4211235107 5984386731 12633705321 17953160193 37901115963 53859480579 113703347889 341110043667 1023330131001