Search a number
-
+
123301202103321 = 311210118541181387
BaseRepresentation
bin11100000010010001001100…
…010110100000110000011001
3121011120110221202221111212220
4130002101030112200300121
5112130131330214301241
61114123442410454253
734654134506112204
oct3402211426406031
9534513852844786
10123301202103321
113631882314a200
12119b4723134389
1353a533ab380c8
142263b4a9c493b
15e3c531d5c166
hex70244c5a0c19

123301202103321 has 48 divisors (see below), whose sum is σ = 182505910206144. Its totient is φ = 73983721680000.

The previous prime is 123301202103251. The next prime is 123301202103323.

123301202103321 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 123301202103321 - 29 = 123301202102809 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 123301202103291 and 123301202103300.

It is not an unprimeable number, because it can be changed into a prime (123301202103323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 679677990 + ... + 679859376.

It is an arithmetic number, because the mean of its divisors is an integer number (3802206462628).

Almost surely, 2123301202103321 is an apocalyptic number.

123301202103321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

123301202103321 is a deficient number, since it is larger than the sum of its proper divisors (59204708102823).

123301202103321 is a wasteful number, since it uses less digits than its factorization.

123301202103321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200054 (or 200043 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

It can be divided in two parts, 12330120 and 2103321, that added together give a palindrome (14433441).

The spelling of 123301202103321 in words is "one hundred twenty-three trillion, three hundred one billion, two hundred two million, one hundred three thousand, three hundred twenty-one".

Divisors: 1 3 11 33 101 121 303 363 1111 3333 12221 18541 36663 55623 181387 203951 544161 611853 1872641 1995257 2243461 5617923 5985771 6730383 18320087 20599051 21947827 54960261 61797153 65843481 201520957 226589561 604562871 679768683 2216730527 3363096367 6650191581 10089289101 36994060037 110982180111 339672733067 406934660407 1019018199201 1220803981221 3736400063737 11209200191211 41100400701107 123301202103321