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1032023013 = 37412714423
BaseRepresentation
bin111101100000110…
…110101111100101
32122220221012102120
4331200312233211
54103144214023
6250223500153
734401023310
oct7540665745
92586835376
101032023013
1148a60618a
12249757659
13135a6cc08
149b0c5977
15609098e3
hex3d836be5

1032023013 has 32 divisors (see below), whose sum is σ = 1617272832. Its totient is φ = 573091200.

The previous prime is 1032022997. The next prime is 1032023017. The reversal of 1032023013 is 3103202301.

It is not a de Polignac number, because 1032023013 - 24 = 1032022997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1032022983 and 1032023001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1032023017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 231120 + ... + 235542.

It is an arithmetic number, because the mean of its divisors is an integer number (50539776).

Almost surely, 21032023013 is an apocalyptic number.

It is an amenable number.

1032023013 is a deficient number, since it is larger than the sum of its proper divisors (585249819).

1032023013 is a wasteful number, since it uses less digits than its factorization.

1032023013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4745.

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 1032023013 is about 32125.1149881211. The cubic root of 1032023013 is about 1010.5623809812.

Adding to 1032023013 its reverse (3103202301), we get a palindrome (4135225314).

It can be divided in two parts, 103202301 and 3, that multiplied together give a palindrome (309606903).

The spelling of 1032023013 in words is "one billion, thirty-two million, twenty-three thousand, thirteen".

Divisors: 1 3 7 21 41 123 271 287 813 861 1897 4423 5691 11111 13269 30961 33333 77777 92883 181343 233331 544029 1198633 1269401 3595899 3808203 8390431 25171293 49143953 147431859 344007671 1032023013