Search a number
-
+
100001232331 = 71113711407061
BaseRepresentation
bin101110100100010001…
…0011011010111001011
3100120010020221221200121
41131020202123113023
53114300303413311
6113535005244111
710140060310210
oct1351042332713
9316106857617
10100001232331
11394570a7a60
121746a263637
139578b51630
144ba92a1b07
1529043ceb71
hex174889b5cb

100001232331 has 32 divisors (see below), whose sum is σ = 136158575616. Its totient is φ = 70915824000.

The previous prime is 100001232299. The next prime is 100001232343. The reversal of 100001232331 is 133232100001.

It is not a de Polignac number, because 100001232331 - 25 = 100001232299 is a prime.

It is a super-2 number, since 2×1000012323312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100001232131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 632460 + ... + 774601.

It is an arithmetic number, because the mean of its divisors is an integer number (4254955488).

Almost surely, 2100001232331 is an apocalyptic number.

100001232331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100001232331 is a deficient number, since it is larger than the sum of its proper divisors (36157343285).

100001232331 is a wasteful number, since it uses less digits than its factorization.

100001232331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1407163.

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 100001232331 its reverse (133232100001), we get a palindrome (233233332332).

The spelling of 100001232331 in words is "one hundred billion, one million, two hundred thirty-two thousand, three hundred thirty-one".

Divisors: 1 7 11 13 71 77 91 143 497 781 923 1001 5467 6461 10153 71071 1407061 9849427 15477671 18291793 99901331 108343697 128042551 201209723 699309317 1098914641 1298717303 1408468061 7692402487 9091021121 14285890333 100001232331