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103416144512 = 2710925129531
BaseRepresentation
bin110000001010000010…
…1010010001010000000
3100212221020201110112112
41200110011102022000
53143244013111022
6115301514514452
710320514503332
oct1402405221200
9325836643475
10103416144512
113a94979902a
1218061a35a28
1399a1498b25
145010a31452
152a540d08e2
hex1814152280

103416144512 has 64 divisors (see below), whose sum is σ = 208749895200. Its totient is φ = 51027840000.

The previous prime is 103416144493. The next prime is 103416144539. The reversal of 103416144512 is 215441614301.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3487187 + ... + 3516717.

Almost surely, 2103416144512 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 103416144512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104374947600).

103416144512 is an abundant number, since it is smaller than the sum of its proper divisors (105333750688).

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

103416144512 is a wasteful number, since it uses less digits than its factorization.

103416144512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29905 (or 29893 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

Adding to 103416144512 its reverse (215441614301), we get a palindrome (318857758813).

The spelling of 103416144512 in words is "one hundred three billion, four hundred sixteen million, one hundred forty-four thousand, five hundred twelve".

Divisors: 1 2 4 8 16 32 64 109 128 218 251 436 502 872 1004 1744 2008 3488 4016 6976 8032 13952 16064 27359 29531 32128 54718 59062 109436 118124 218872 236248 437744 472496 875488 944992 1750976 1889984 3218879 3501952 3779968 6437758 7412281 12875516 14824562 25751032 29649124 51502064 59298248 103004128 118596496 206008256 237192992 412016512 474385984 807938629 948771968 1615877258 3231754516 6463509032 12927018064 25854036128 51708072256 103416144512