Search a number
-
+
100113210030231 = 32591131787933671
BaseRepresentation
bin10110110000110101101100…
…010100100011100010010111
3111010110201200201221221022100
4112300311230110203202113
5101110223323231431411
6552531212422333143
730041640446416356
oct2660655424434227
9433421621857270
10100113210030231
1129998857130532
12b28a73b58a1b3
1343b28346b3c08
141aa171047199d
15b892935e7456
hex5b0d6c523897

100113210030231 has 48 divisors (see below), whose sum is σ = 148443540261120. Its totient is φ = 64993829349120.

The previous prime is 100113210030191. The next prime is 100113210030241. The reversal of 100113210030231 is 132030012311001.

100113210030231 is a `hidden beast` number, since 1 + 0 + 0 + 11 + 321 + 0 + 0 + 302 + 31 = 666.

It is not a de Polignac number, because 100113210030231 - 26 = 100113210030167 is a prime.

It is a super-2 number, since 2×1001132100302312 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100113210030241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106758526 + ... + 107692196.

It is an arithmetic number, because the mean of its divisors is an integer number (3092573755440).

Almost surely, 2100113210030231 is an apocalyptic number.

100113210030231 is a deficient number, since it is larger than the sum of its proper divisors (48330330230889).

100113210030231 is a wasteful number, since it uses less digits than its factorization.

100113210030231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935636 (or 935633 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 100113210030231 its reverse (132030012311001), we get a palindrome (232143222341232).

The spelling of 100113210030231 in words is "one hundred trillion, one hundred thirteen billion, two hundred ten million, thirty thousand, two hundred thirty-one".

Divisors: 1 3 9 59 113 177 339 531 1017 1787 5361 6667 16083 20001 60003 105433 201931 316299 605793 933671 948897 1817379 2801013 8403039 11913929 35741787 55086589 105504823 107225361 165259767 316514469 495779301 949543407 1668470077 5005410231 6224784557 15016230693 18674353671 56023061013 98439734543 188537118701 295319203629 565611356103 885957610887 1696834068309 11123690003359 33371070010077 100113210030231