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2431134100 = 2252193312577
BaseRepresentation
bin1001000011101000…
…0010100110010100
320021102121102000201
42100322002212110
514434332242400
61041123350244
7114150204343
oct22072024624
96242542021
102431134100
11103834803a
1257a222384
132c9899bb5
14190c45b5a
15e367606a
hex90e82994

2431134100 has 36 divisors (see below), whose sum is σ = 5278709884. Its totient is φ = 971873280.

The previous prime is 2431134091. The next prime is 2431134107. The reversal of 2431134100 is 14311342.

It can be written as a sum of positive squares in 6 ways, for example, as 96118416 + 2335015684 = 9804^2 + 48322^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2431134107) 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, 187012 + ... + 199588.

Almost surely, 22431134100 is an apocalyptic number.

2431134100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2431134100 is an abundant number, since it is smaller than the sum of its proper divisors (2847575784).

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

2431134100 is a wasteful number, since it uses less digits than its factorization.

2431134100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14524 (or 14517 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 2431134100 is about 49306.5320216298. The cubic root of 2431134100 is about 1344.6305421017.

Adding to 2431134100 its reverse (14311342), we get a palindrome (2445445442).

The spelling of 2431134100 in words is "two billion, four hundred thirty-one million, one hundred thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1933 3866 7732 9665 12577 19330 25154 38660 48325 50308 62885 96650 125770 193300 251540 314425 628850 1257700 24311341 48622682 97245364 121556705 243113410 486226820 607783525 1215567050 2431134100