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1023122113 = 13237163621
BaseRepresentation
bin111100111110111…
…001101011000001
32122022011222200121
4330332321223001
54043404401423
6245305020241
734232252206
oct7476715301
92568158617
101023122113
11485586872
12246784681
13133c74700
1499c49cad
155ec4c45d
hex3cfb9ac1

1023122113 has 12 divisors (see below), whose sum is σ = 1137827388. Its totient is φ = 918889920.

The previous prime is 1023122099. The next prime is 1023122119. The reversal of 1023122113 is 3112213201.

It can be written as a sum of positive squares in 6 ways, for example, as 195524289 + 827597824 = 13983^2 + 28768^2 .

It is not a de Polignac number, because 1023122113 - 229 = 486251201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1023122119) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75558 + ... + 88063.

It is an arithmetic number, because the mean of its divisors is an integer number (94818949).

Almost surely, 21023122113 is an apocalyptic number.

1023122113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1023122113 is a deficient number, since it is larger than the sum of its proper divisors (114705275).

1023122113 is a wasteful number, since it uses less digits than its factorization.

1023122113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163684 (or 163671 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1023122113 is about 31986.2800744319. The cubic root of 1023122113 is about 1007.6487189411.

Adding to 1023122113 its reverse (3112213201), we get a palindrome (4135335314).

The spelling of 1023122113 in words is "one billion, twenty-three million, one hundred twenty-two thousand, one hundred thirteen".

Divisors: 1 13 37 169 481 6253 163621 2127073 6053977 27651949 78701701 1023122113