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1231132000 = 2553743969
BaseRepresentation
bin100100101100001…
…1001010101100000
310011210120222121111
41021120121111200
510010132211000
6322055233104
742336310060
oct11130312540
93153528544
101231132000
11581a3a76a
122a4378794
131680a4797
14b97153a0
1573139cba
hex49619560

1231132000 has 96 divisors (see below), whose sum is σ = 3457097280. Its totient is φ = 422092800.

The previous prime is 1231131989. The next prime is 1231132009. The reversal of 1231132000 is 2311321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1231132009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6016 + ... + 49984.

It is an arithmetic number, because the mean of its divisors is an integer number (36011430).

Almost surely, 21231132000 is an apocalyptic number.

1231132000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1231132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1728548640).

1231132000 is an abundant number, since it is smaller than the sum of its proper divisors (2225965280).

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

1231132000 is an equidigital number, since it uses as much as digits as its factorization.

1231132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44001 (or 43983 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 1231132000 is about 35087.4906483778. The cubic root of 1231132000 is about 1071.7698603761.

Adding to 1231132000 its reverse (2311321), we get a palindrome (1233443321).

The spelling of 1231132000 in words is "one billion, two hundred thirty-one million, one hundred thirty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 125 140 160 175 200 224 250 280 350 400 500 560 700 800 875 1000 1120 1400 1750 2000 2800 3500 4000 5600 7000 14000 28000 43969 87938 175876 219845 307783 351752 439690 615566 703504 879380 1099225 1231132 1407008 1538915 1758760 2198450 2462264 3077830 3517520 4396900 4924528 5496125 6155660 7035040 7694575 8793800 9849056 10992250 12311320 15389150 17587600 21984500 24622640 30778300 35175200 38472875 43969000 49245280 61556600 76945750 87938000 123113200 153891500 175876000 246226400 307783000 615566000 1231132000