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103410431124 = 2237111313165717
BaseRepresentation
bin110000001001110111…
…1011111010010010100
3100212220211222012020120
41200103233133102110
53143241032243444
6115301152231540
710320415106250
oct1402357372224
9325824865216
10103410431124
113a946546520
121805bb3b5b0
1399a0248420
14500dd85260
152a53852b19
hex1813bdf494

103410431124 has 192 divisors, whose sum is σ = 326449170432. Its totient is φ = 24604070400.

The previous prime is 103410431119. The next prime is 103410431171. The reversal of 103410431124 is 421134014301.

It is a junction number, because it is equal to n+sod(n) for n = 103410431094 and 103410431103.

It is a congruent number.

It is an unprimeable number.

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, 1540714 + ... + 1606430.

It is an arithmetic number, because the mean of its divisors is an integer number (1700256096).

Almost surely, 2103410431124 is an apocalyptic number.

103410431124 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 103410431124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163224585216).

103410431124 is an abundant number, since it is smaller than the sum of its proper divisors (223038739308).

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

103410431124 is a wasteful number, since it uses less digits than its factorization.

103410431124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65886 (or 65884 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 103410431124 its reverse (421134014301), we get a palindrome (524544445425).

The spelling of 103410431124 in words is "one hundred three billion, four hundred ten million, four hundred thirty-one thousand, one hundred twenty-four".