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100313121203023 = 13933110931994779
BaseRepresentation
bin10110110011101111110111…
…111101001010001101001111
3111011011211200220002201210011
4112303233313331022031033
5101122012233011444043
6553203113420454051
730062245441354051
oct2663576775121517
9434154626081704
10100313121203023
1129a65612841513
12b3014313aa327
1343c86434a1bc1
141aab27682d8d1
15b8e593d7259d
hex5b3bf7f4a34f

100313121203023 has 16 divisors (see below), whose sum is σ = 101432807593600. Its totient is φ = 99199671611040.

The previous prime is 100313121202979. The next prime is 100313121203059. The reversal of 100313121203023 is 320302121313001.

It is a cyclic number.

It is not a de Polignac number, because 100313121203023 - 213 = 100313121194831 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100313121202985 and 100313121203003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100313121203093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49290448 + ... + 51285226.

It is an arithmetic number, because the mean of its divisors is an integer number (6339550474600).

Almost surely, 2100313121203023 is an apocalyptic number.

100313121203023 is a deficient number, since it is larger than the sum of its proper divisors (1119686390577).

100313121203023 is a wasteful number, since it uses less digits than its factorization.

100313121203023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1996342.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 100313121203023 its reverse (320302121313001), we get a palindrome (420615242516024).

The spelling of 100313121203023 in words is "one hundred trillion, three hundred thirteen billion, one hundred twenty-one million, two hundred three thousand, twenty-three".

Divisors: 1 139 331 1093 46009 151927 361783 1994779 50287837 277274281 660271849 2180293447 91777787011 303060789133 721677130957 100313121203023