Search a number
-
+
103343210124 = 223711436738821
BaseRepresentation
bin110000000111110111…
…1000011111010001100
3100212202011111000100220
41200033233003322030
53143121330210444
6115250351351340
710315640535540
oct1401757037214
9325664430326
10103343210124
113a911603380
1218041522550
13998c34079b
145005087a20
152a4c9c5619
hex180fbc3e8c

103343210124 has 192 divisors, whose sum is σ = 312225779712. Its totient is φ = 25826169600.

The previous prime is 103343210119. The next prime is 103343210129. The reversal of 103343210124 is 421012343301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (103343210119) and next prime (103343210129).

It is a junction number, because it is equal to n+sod(n) for n = 103343210094 and 103343210103.

It is not an unprimeable number, because it can be changed into a prime (103343210129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2642634 + ... + 2681454.

It is an arithmetic number, because the mean of its divisors is an integer number (1626175936).

Almost surely, 2103343210124 is an apocalyptic number.

103343210124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103343210124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156112889856).

103343210124 is an abundant number, since it is smaller than the sum of its proper divisors (208882569588).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103343210124 is a wasteful number, since it uses less digits than its factorization.

103343210124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38956 (or 38954 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 103343210124 its reverse (421012343301), we get a palindrome (524355553425).

The spelling of 103343210124 in words is "one hundred three billion, three hundred forty-three million, two hundred ten thousand, one hundred twenty-four".