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1012031424 = 26321756999
BaseRepresentation
bin111100010100100…
…101111111000000
32121112022112010100
4330110211333000
54033040001144
6244231202400
734036060635
oct7424457700
92545275110
101012031424
1147a2a1208
12242b16400
13131890581
14985a018c
155dcab269
hex3c525fc0

1012031424 has 42 divisors (see below), whose sum is σ = 2900807000. Its totient is φ = 337343616.

The previous prime is 1012031417. The next prime is 1012031459. The reversal of 1012031424 is 4241302101.

1012031424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1012031397 and 1012031406.

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, 877924 + ... + 879075.

Almost surely, 21012031424 is an apocalyptic number.

It is an amenable number.

1012031424 is an abundant number, since it is smaller than the sum of its proper divisors (1888775576).

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

1012031424 is a wasteful number, since it uses less digits than its factorization.

1012031424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1757017 (or 1757004 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1012031424 is about 31812.4413398280. The cubic root of 1012031424 is about 1003.9944974117.

Adding to 1012031424 its reverse (4241302101), we get a palindrome (5253333525).

The spelling of 1012031424 in words is "one billion, twelve million, thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 1756999 3513998 5270997 7027996 10541994 14055992 15812991 21083988 28111984 31625982 42167976 56223968 63251964 84335952 112447936 126503928 168671904 253007856 337343808 506015712 1012031424