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1003112144 = 24192173669
BaseRepresentation
bin111011110010100…
…100011011010000
32120220112101011122
4323302210123100
54023244042034
6243312101412
733600212126
oct7362443320
92526471148
101003112144
1147525a001
1223bb34868
1312ca898a8
149731b916
155d0e862e
hex3bca46d0

1003112144 has 30 divisors (see below), whose sum is σ = 2051216370. Its totient is φ = 475155648.

The previous prime is 1003112137. The next prime is 1003112153. The reversal of 1003112144 is 4412113001.

It is a happy number.

1003112144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 994771600 + 8340544 = 31540^2 + 2888^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 81059 + ... + 92610.

It is an arithmetic number, because the mean of its divisors is an integer number (68373879).

Almost surely, 21003112144 is an apocalyptic number.

It is an amenable number.

1003112144 is an abundant number, since it is smaller than the sum of its proper divisors (1048104226).

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

1003112144 is a wasteful number, since it uses less digits than its factorization.

1003112144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173715 (or 173690 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 1003112144 is about 31671.9456933103. The cubic root of 1003112144 is about 1001.0363070301.

Adding to 1003112144 its reverse (4412113001), we get a palindrome (5415225145).

The spelling of 1003112144 in words is "one billion, three million, one hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 19 38 76 152 304 361 722 1444 2888 5776 173669 347338 694676 1389352 2778704 3299711 6599422 13198844 26397688 52795376 62694509 125389018 250778036 501556072 1003112144