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1132431012 = 2232173349521
BaseRepresentation
bin100001101111111…
…1000011010100100
32220220212110022100
41003133320122210
54304400243022
6304211532100
740030335066
oct10337703244
92826773270
101132431012
115312561a9
122772ba030
131507c732b
14aa581736
15696401ac
hex437f86a4

1132431012 has 72 divisors (see below), whose sum is σ = 2892871800. Its totient is φ = 373501440.

The previous prime is 1132431011. The next prime is 1132431017. The reversal of 1132431012 is 2101342311.

1132431012 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 408605796 + 723825216 = 20214^2 + 26904^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1132431011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2173312 + ... + 2173832.

It is an arithmetic number, because the mean of its divisors is an integer number (40178775).

Almost surely, 21132431012 is an apocalyptic number.

1132431012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1132431012 is an abundant number, since it is smaller than the sum of its proper divisors (1760440788).

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

1132431012 is a wasteful number, since it uses less digits than its factorization.

1132431012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1132431012 is about 33651.6123239288. The cubic root of 1132431012 is about 1042.3268328558.

Adding to 1132431012 its reverse (2101342311), we get a palindrome (3233773323).

The spelling of 1132431012 in words is "one billion, one hundred thirty-two million, four hundred thirty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 173 346 349 519 521 692 698 1038 1042 1047 1396 1557 1563 2076 2084 2094 3114 3126 3141 4188 4689 6228 6252 6282 9378 12564 18756 60377 90133 120754 180266 181131 181829 241508 270399 360532 362262 363658 540798 543393 545487 724524 727316 811197 1081596 1086786 1090974 1622394 1636461 2173572 2181948 3244788 3272922 6545844 31456417 62912834 94369251 125825668 188738502 283107753 377477004 566215506 1132431012