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231000132 = 223112236917
BaseRepresentation
bin11011100010011…
…00100001000100
3121002200000121110
431301030201010
5433114001012
634531045020
75503316526
oct1561144104
9532600543
10231000132
11109436900
1265440770
1338b1c58c
1422971a16
151542e73c
hexdc4c844

231000132 has 72 divisors (see below), whose sum is σ = 618303168. Its totient is φ = 66946880.

The previous prime is 231000113. The next prime is 231000151.

It is a happy number.

231000132 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (231000113) and next prime (231000151).

It is a super-2 number, since 2×2310001322 = 106722121968034848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29938 + ... + 36854.

It is an arithmetic number, because the mean of its divisors is an integer number (8587544).

Almost surely, 2231000132 is an apocalyptic number.

231000132 is a gapful number since it is divisible by the number (22) 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 231000132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309151584).

231000132 is an abundant number, since it is smaller than the sum of its proper divisors (387303036).

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

231000132 is a wasteful number, since it uses less digits than its factorization.

231000132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6969 (or 6956 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 231000132 is about 15198.6884960512. The cubic root of 231000132 is about 613.5793608384.

It can be divided in two parts, 231000 and 132, that added together give a palindrome (231132).

The spelling of 231000132 in words is "two hundred thirty-one million, one hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 121 132 138 242 253 276 363 484 506 726 759 1012 1452 1518 2783 3036 5566 6917 8349 11132 13834 16698 20751 27668 33396 41502 76087 83004 152174 159091 228261 304348 318182 456522 477273 636364 836957 913044 954546 1673914 1750001 1909092 2510871 3347828 3500002 5021742 5250003 7000004 10043484 10500006 19250011 21000012 38500022 57750033 77000044 115500066 231000132