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1281132900 = 2232521423481
BaseRepresentation
bin100110001011100…
…1000100101100100
310022021200021221200
41030113020211210
510110432223100
6331043042500
743514310225
oct11427104544
93267607850
101281132900
115a8191123
122b9070430
13175560408
14c220d24c
1577714e00
hex4c5c8964

1281132900 has 54 divisors (see below), whose sum is σ = 4015642722. Its totient is φ = 341635200.

The previous prime is 1281132899. The next prime is 1281132901. The reversal of 1281132900 is 92311821.

It is an interprime number because it is at equal distance from previous prime (1281132899) and next prime (1281132901).

It can be written as a sum of positive squares in 3 ways, for example, as 88397604 + 1192735296 = 9402^2 + 34536^2 .

It is not an unprimeable number, because it can be changed into a prime (1281132901) 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 17 ways as a sum of consecutive naturals, for example, 710841 + ... + 712640.

Almost surely, 21281132900 is an apocalyptic number.

1281132900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1281132900 is an abundant number, since it is smaller than the sum of its proper divisors (2734509822).

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

1281132900 is a wasteful number, since it uses less digits than its factorization.

1281132900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1423501 (or 1423491 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 1281132900 is about 35792.9168970622. The cubic root of 1281132900 is about 1086.0872817328.

The spelling of 1281132900 in words is "one billion, two hundred eighty-one million, one hundred thirty-two thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 1423481 2846962 4270443 5693924 7117405 8540886 12811329 14234810 17081772 21352215 25622658 28469620 35587025 42704430 51245316 64056645 71174050 85408860 106761075 128113290 142348100 213522150 256226580 320283225 427044300 640566450 1281132900