Search a number
-
+
1311233133001 = 111031938576997
BaseRepresentation
bin10011000101001011100…
…101011100100111001001
311122100112002110201211011
4103011023211130213021
5132440401140224001
62442212220403521
7163506402506311
oct23051345344711
94570462421734
101311233133001
114660aaa13290
121921613a65a1
139685840a0bc
144766d3c4441
15241951b5d51
hex1314b95c9c9

1311233133001 has 32 divisors (see below), whose sum is σ = 1453709207808. Its totient is φ = 1172802723840.

The previous prime is 1311233132977. The next prime is 1311233133019. The reversal of 1311233133001 is 1003313321131.

It is not a de Polignac number, because 1311233133001 - 27 = 1311233132873 is a prime.

It is a super-3 number, since 3×13112331330013 (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1311233133061) 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, 187395835 + ... + 187402831.

It is an arithmetic number, because the mean of its divisors is an integer number (45428412744).

Almost surely, 21311233133001 is an apocalyptic number.

1311233133001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1311233133001 is a deficient number, since it is larger than the sum of its proper divisors (142476074807).

1311233133001 is a wasteful number, since it uses less digits than its factorization.

1311233133001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8161.

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 1311233133001 its reverse (1003313321131), we get a palindrome (2314546454132).

The spelling of 1311233133001 in words is "one trillion, three hundred eleven billion, two hundred thirty-three million, one hundred thirty-three thousand, one".

Divisors: 1 11 103 193 857 1133 2123 6997 9427 19879 76967 88271 165401 218669 720691 970981 1350421 1819411 5996429 7927601 14854631 17036303 65960719 139093363 187399333 617632187 1157310797 1530026993 6793954057 12730418767 119203012091 1311233133001