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103016285424 = 2432134359109199
BaseRepresentation
bin101111111110000111…
…1111100010011110000
3100211220101022111222200
41133330033330103300
53141434132113144
6115154112303200
710304560656363
oct1377417742360
9324811274880
10103016285424
113a764009a78
1217b6bb41b00
1399396a6710
144db38a60da
152a2de48c69
hex17fc3fc4f0

103016285424 has 480 divisors, whose sum is σ = 327687360000. Its totient is φ = 30004660224.

The previous prime is 103016285423. The next prime is 103016285429. The reversal of 103016285424 is 424582610301.

It is a happy number.

103016285424 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 1 + 628 + 5 + 4 + 24 = 666.

It is a super-2 number, since 2×1030162854242 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103016285423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 517669677 + ... + 517669875.

It is an arithmetic number, because the mean of its divisors is an integer number (682682000).

Almost surely, 2103016285424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103016285424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163843680000).

103016285424 is an abundant number, since it is smaller than the sum of its proper divisors (224671074576).

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

103016285424 is a wasteful number, since it uses less digits than its factorization.

103016285424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 103016285424 its reverse (424582610301), we get a palindrome (527598895725).

The spelling of 103016285424 in words is "one hundred three billion, sixteen million, two hundred eighty-five thousand, four hundred twenty-four".