Search a number
-
+
123430101103431 = 3312148737629419
BaseRepresentation
bin11100000100001001001111…
…010101001011001101000111
3121012000210122222011011121000
4130010021033111023031013
5112134234321340302211
61114303001115424343
734666346653410303
oct3404111725131507
9535023588134530
10123430101103431
1136368459290871
1211a156b71550b3
1353b454089bac5
14226a097b70d03
15e40a781dd656
hex70424f54b347

123430101103431 has 16 divisors (see below), whose sum is σ = 182860919078400. Its totient is φ = 82286054552664.

The previous prime is 123430101103349. The next prime is 123430101103447. The reversal of 123430101103431 is 134301101034321.

123430101103431 is a `hidden beast` number, since 1 + 2 + 3 + 4 + 301 + 0 + 1 + 10 + 343 + 1 = 666.

It is not a de Polignac number, because 123430101103431 - 211 = 123430101101383 is a prime.

It is a super-2 number, since 2×1234301011034312 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 123430101103395 and 123430101103404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123430101103481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15534561 + ... + 22094858.

It is an arithmetic number, because the mean of its divisors is an integer number (11428807442400).

Almost surely, 2123430101103431 is an apocalyptic number.

123430101103431 is a deficient number, since it is larger than the sum of its proper divisors (59430817974969).

123430101103431 is a wasteful number, since it uses less digits than its factorization.

123430101103431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37750915 (or 37750909 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 123430101103431 its reverse (134301101034321), we get a palindrome (257731202137752).

The spelling of 123430101103431 in words is "one hundred twenty-three trillion, four hundred thirty billion, one hundred one million, one hundred three thousand, four hundred thirty-one".

Divisors: 1 3 9 27 121487 364461 1093383 3280149 37629419 112888257 338664771 1015994313 4571485226053 13714455678159 41143367034477 123430101103431