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1013134444 = 227374720807
BaseRepresentation
bin111100011000110…
…011010001101100
32121121101120011221
4330120303101230
54033330300234
6244310553124
734051333510
oct7430632154
92547346157
101013134444
1147a9849a3
122433687a4
13131b8864a
14987aa140
155de27eb4
hex3c63346c

1013134444 has 48 divisors (see below), whose sum is σ = 2125412352. Its totient is φ = 413456832.

The previous prime is 1013134439. The next prime is 1013134453. The reversal of 1013134444 is 4444313101.

1013134444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38289 + ... + 59095.

It is an arithmetic number, because the mean of its divisors is an integer number (44279424).

Almost surely, 21013134444 is an apocalyptic number.

1013134444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1013134444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1062706176).

1013134444 is an abundant number, since it is smaller than the sum of its proper divisors (1112277908).

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

1013134444 is a wasteful number, since it uses less digits than its factorization.

1013134444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20902 (or 20900 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 1013134444 is about 31829.7729178202. The cubic root of 1013134444 is about 1004.3591184756.

Adding to 1013134444 its reverse (4444313101), we get a palindrome (5457447545).

The spelling of 1013134444 in words is "one billion, thirteen million, one hundred thirty-four thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 37 47 74 94 148 188 259 329 518 658 1036 1316 1739 3478 6956 12173 20807 24346 41614 48692 83228 145649 291298 582596 769859 977929 1539718 1955858 3079436 3911716 5389013 6845503 10778026 13691006 21556052 27382012 36183373 72366746 144733492 253283611 506567222 1013134444