Search a number
-
+
103423244340 = 2235132371811523
BaseRepresentation
bin110000001010010000…
…0010111100000110100
3100212221202002011200010
41200110200113200310
53143302322304330
6115302331020220
710320632033463
oct1402440274064
9325852064603
10103423244340
113a9527a8259
121806429a670
1399a2ab3600
14501195c9da
152a54a343b0
hex1814817834

103423244340 has 288 divisors, whose sum is σ = 324041268096. Its totient is φ = 24616949760.

The previous prime is 103423244329. The next prime is 103423244363. The reversal of 103423244340 is 43442324301.

It is a happy number.

It is a super-2 number, since 2×1034232443402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 103423244298 and 103423244307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 67906819 + ... + 67908341.

It is an arithmetic number, because the mean of its divisors is an integer number (1125143292).

Almost surely, 2103423244340 is an apocalyptic number.

103423244340 is a gapful number since it is divisible by the number (10) 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 103423244340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162020634048).

103423244340 is an abundant number, since it is smaller than the sum of its proper divisors (220618023756).

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

103423244340 is a wasteful number, since it uses less digits than its factorization.

103423244340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1779 (or 1764 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 103423244340 its reverse (43442324301), we get a palindrome (146865568641).

The spelling of 103423244340 in words is "one hundred three billion, four hundred twenty-three million, two hundred forty-four thousand, three hundred forty".