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103042444410 = 233537127241337
BaseRepresentation
bin101111111110111001…
…1101110110001111010
3100211222012112112101000
41133331303232301322
53142012331210120
6115200445105430
710305326216553
oct1377563566172
9324865475330
10103042444410
113a777856674
1217b78858276
139941c352c9
144db715532a
152a313b4990
hex17fdceec7a

103042444410 has 256 divisors, whose sum is σ = 286456135680. Its totient is φ = 26336378880.

The previous prime is 103042444399. The next prime is 103042444423. The reversal of 103042444410 is 14444240301.

103042444410 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 4 + 244 + 4 + 410 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 305763762 + ... + 305764098.

It is an arithmetic number, because the mean of its divisors is an integer number (1118969280).

Almost surely, 2103042444410 is an apocalyptic number.

103042444410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103042444410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143228067840).

103042444410 is an abundant number, since it is smaller than the sum of its proper divisors (183413691270).

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

103042444410 is a wasteful number, since it uses less digits than its factorization.

103042444410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 103042444410 its reverse (14444240301), we get a palindrome (117486684711).

The spelling of 103042444410 in words is "one hundred three billion, forty-two million, four hundred forty-four thousand, four hundred ten".