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103144333312 = 21319763913
BaseRepresentation
bin110000000001111100…
…0011010000000000000
3100212020022021000200001
41200003320122000000
53142214422131222
6115214525005344
710311004240006
oct1400370320000
9325208230601
10103144333312
113a81a318279
1217ba69b3854
13995a08a7b7
144dc68b8a76
152a3a2dde27
hex1803e1a000

103144333312 has 56 divisors (see below), whose sum is σ = 207326406276. Its totient is φ = 51309576192.

The previous prime is 103144333273. The next prime is 103144333363. The reversal of 103144333312 is 213333441301.

It can be written as a sum of positive squares in 2 ways, for example, as 90442141696 + 12702191616 = 300736^2 + 112704^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1581868 + ... + 1645780.

Almost surely, 2103144333312 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 103144333312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103663203138).

103144333312 is an abundant number, since it is smaller than the sum of its proper divisors (104182072964).

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

103144333312 is an frugal number, since it uses more digits than its factorization.

103144333312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64136 (or 64112 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 103144333312 its reverse (213333441301), we get a palindrome (316477774613).

The spelling of 103144333312 in words is "one hundred three billion, one hundred forty-four million, three hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 197 256 394 512 788 1024 1576 2048 3152 4096 6304 8192 12608 25216 50432 63913 100864 127826 201728 255652 403456 511304 806912 1022608 1613824 2045216 4090432 8180864 12590861 16361728 25181722 32723456 50363444 65446912 100726888 130893824 201453776 261787648 402907552 523575296 805815104 1611630208 3223260416 6446520832 12893041664 25786083328 51572166656 103144333312