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1231132112 = 247172412683
BaseRepresentation
bin100100101100001…
…1001010111010000
310011210120222202122
41021120121113100
510010132211422
6322055233412
742336310310
oct11130312720
93153528678
101231132112
11581a3a861
122a4378868
131680a4852
14b9715440
1573139d42
hex496195d0

1231132112 has 80 divisors (see below), whose sum is σ = 2899492992. Its totient is φ = 494346240.

The previous prime is 1231132103. The next prime is 1231132121. The reversal of 1231132112 is 2112311321.

It is an interprime number because it is at equal distance from previous prime (1231132103) and next prime (1231132121).

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

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, 457523 + ... + 460205.

Almost surely, 21231132112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1231132112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1449746496).

1231132112 is an abundant number, since it is smaller than the sum of its proper divisors (1668360880).

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

1231132112 is a wasteful number, since it uses less digits than its factorization.

1231132112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2956 (or 2950 counting only the distinct ones).

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

The square root of 1231132112 is about 35087.4922443882. The cubic root of 1231132112 is about 1071.7698928768.

Adding to 1231132112 its reverse (2112311321), we get a palindrome (3343443433).

The spelling of 1231132112 in words is "one billion, two hundred thirty-one million, one hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 241 272 476 482 952 964 1687 1904 1928 2683 3374 3856 4097 5366 6748 8194 10732 13496 16388 18781 21464 26992 28679 32776 37562 42928 45611 57358 65552 75124 91222 114716 150248 182444 229432 300496 319277 364888 458864 638554 646603 729776 1277108 1293206 2554216 2586412 4526221 5108432 5172824 9052442 10345648 10992251 18104884 21984502 36209768 43969004 72419536 76945757 87938008 153891514 175876016 307783028 615566056 1231132112