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1232131121 = 135312011489
BaseRepresentation
bin100100101110000…
…1101010000110001
310011212110202010222
41021130031100301
510010411143441
6322132502425
742350641004
oct11134152061
93155422128
101232131121
11582562391
122a477aa15
13168364490
14b98d553b
1573285d4b
hex4970d431

1232131121 has 16 divisors (see below), whose sum is σ = 1353980880. Its totient is φ = 1114214400.

The previous prime is 1232131081. The next prime is 1232131127. The reversal of 1232131121 is 1211312321.

It can be written as a sum of positive squares in 8 ways, for example, as 399000625 + 833130496 = 19975^2 + 28864^2 .

It is not a de Polignac number, because 1232131121 - 222 = 1227936817 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1232131121.

It is not an unprimeable number, because it can be changed into a prime (1232131127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 826745 + ... + 828233.

It is an arithmetic number, because the mean of its divisors is an integer number (84623805).

Almost surely, 21232131121 is an apocalyptic number.

It is an amenable number.

1232131121 is a deficient number, since it is larger than the sum of its proper divisors (121849759).

1232131121 is a wasteful number, since it uses less digits than its factorization.

1232131121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2756.

The product of its digits is 72, while the sum is 17.

The square root of 1232131121 is about 35101.7253279664. The cubic root of 1232131121 is about 1072.0597123794.

Adding to 1232131121 its reverse (1211312321), we get a palindrome (2443443442).

The spelling of 1232131121 in words is "one billion, two hundred thirty-two million, one hundred thirty-one thousand, one hundred twenty-one".

Divisors: 1 13 53 689 1201 1489 15613 19357 63653 78917 827489 1025921 1788289 23247757 94779317 1232131121