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1013031232 = 26473071097
BaseRepresentation
bin111100011000011…
…010000101000000
32121121012022121021
4330120122011000
54033313444412
6244304435224
734050423553
oct7430320500
92547168537
101013031232
1147a9143a4
12243318b14
13131b50685
149878069a
155de07607
hex3c61a140

1013031232 has 56 divisors (see below), whose sum is σ = 2061569664. Its totient is φ = 493673472.

The previous prime is 1013031221. The next prime is 1013031233. The reversal of 1013031232 is 2321303101.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013031233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 922908 + ... + 924004.

It is an arithmetic number, because the mean of its divisors is an integer number (36813744).

Almost surely, 21013031232 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 1013031232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1030784832).

1013031232 is an abundant number, since it is smaller than the sum of its proper divisors (1048538432).

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

1013031232 is a wasteful number, since it uses less digits than its factorization.

1013031232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1463 (or 1453 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 1013031232 is about 31828.1515642992. The cubic root of 1013031232 is about 1004.3250113097.

Adding to 1013031232 its reverse (2321303101), we get a palindrome (3334334333).

The spelling of 1013031232 in words is "one billion, thirteen million, thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 47 64 94 188 307 376 614 752 1097 1228 1504 2194 2456 3008 4388 4912 8776 9824 14429 17552 19648 28858 35104 51559 57716 70208 103118 115432 206236 230864 336779 412472 461728 673558 824944 923456 1347116 1649888 2694232 3299776 5388464 10776928 15828613 21553856 31657226 63314452 126628904 253257808 506515616 1013031232