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1013132123 = 89113131769
BaseRepresentation
bin111100011000110…
…010101101011011
32121121101102222222
4330120302231123
54033330211443
6244310534255
734051323653
oct7430625533
92547342888
101013132123
1147a983183
1224336738b
13131b87583
14987a9363
155de27468
hex3c632b5b

1013132123 has 16 divisors (see below), whose sum is σ = 1042826400. Its totient is φ = 984023040.

The previous prime is 1013132093. The next prime is 1013132143. The reversal of 1013132123 is 3212313101.

It is a cyclic number.

It is not a de Polignac number, because 1013132123 - 212 = 1013128027 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1013132143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1317083 + ... + 1317851.

It is an arithmetic number, because the mean of its divisors is an integer number (65176650).

Almost surely, 21013132123 is an apocalyptic number.

1013132123 is a deficient number, since it is larger than the sum of its proper divisors (29694277).

1013132123 is a wasteful number, since it uses less digits than its factorization.

1013132123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102.

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 1013132123 is about 31829.7364582241. The cubic root of 1013132123 is about 1004.3583515095.

Adding to 1013132123 its reverse (3212313101), we get a palindrome (4225445224).

The spelling of 1013132123 in words is "one billion, thirteen million, one hundred thirty-two thousand, one hundred twenty-three".

Divisors: 1 89 113 131 769 10057 11659 14803 68441 86897 100739 1317467 7733833 8965771 11383507 1013132123