Search a number
-
+
123001002131301 = 32719199951404567
BaseRepresentation
bin11011111101111001100111…
…000010011111111101100101
3121010111210002022201212002200
4123331321213002133331211
5112110222023021200201
61113333514051325113
734623346332336660
oct3375714702377545
9533453068655080
10123001002131301
1136212483089a78
12119665028b0799
135382c38761b78
1422533cd0aa6d7
15e34811d4c386
hex6fde6709ff65

123001002131301 has 48 divisors (see below), whose sum is σ = 213843002880000. Its totient is φ = 66553697218464.

The previous prime is 123001002131291. The next prime is 123001002131341. The reversal of 123001002131301 is 103131200100321.

123001002131301 is a `hidden beast` number, since 1 + 2 + 300 + 10 + 0 + 21 + 31 + 301 = 666.

It is not a de Polignac number, because 123001002131301 - 26 = 123001002131237 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123001002131341) 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 47 ways as a sum of consecutive naturals, for example, 23309481 + ... + 28095086.

It is an arithmetic number, because the mean of its divisors is an integer number (4455062560000).

Almost surely, 2123001002131301 is an apocalyptic number.

It is an amenable number.

123001002131301 is a deficient number, since it is larger than the sum of its proper divisors (90842000748699).

123001002131301 is a wasteful number, since it uses less digits than its factorization.

123001002131301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51406598 (or 51406595 counting only the distinct ones).

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

Adding to 123001002131301 its reverse (103131200100321), we get a palindrome (226132202231622).

The spelling of 123001002131301 in words is "one hundred twenty-three trillion, one billion, two million, one hundred thirty-one thousand, three hundred one".

Divisors: 1 3 7 9 19 21 57 63 133 171 399 1197 1999 5997 13993 17991 37981 41979 113943 125937 265867 341829 797601 2392803 51404567 154213701 359831969 462641103 976686773 1079495907 2930060319 3238487721 6836807411 8790180957 20510422233 61531266699 102757729433 308273188299 719304106031 924819564897 1952396859227 2157912318093 5857190577681 6473736954279 13666778014589 17571571733043 41000334043767 123001002131301