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133231000 = 2353722719
BaseRepresentation
bin1111111000011…
…11000110011000
3100021200211120111
413330033012120
5233101343000
621115334104
73205305400
oct774170630
9307624514
10133231000
1169229471
1238751334
13217aa316
14139a1800
15ba6acba
hex7f0f198

133231000 has 96 divisors (see below), whose sum is σ = 362793600. Its totient is φ = 45662400.

The previous prime is 133230991. The next prime is 133231009. The reversal of 133231000 is 132331.

It is an interprime number because it is at equal distance from previous prime (133230991) and next prime (133231009).

It is a super-2 number, since 2×1332310002 = 35500998722000000, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133231009) 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, 47641 + ... + 50359.

It is an arithmetic number, because the mean of its divisors is an integer number (3779100).

Almost surely, 2133231000 is an apocalyptic number.

133231000 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 133231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181396800).

133231000 is an abundant number, since it is smaller than the sum of its proper divisors (229562600).

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

133231000 is a wasteful number, since it uses less digits than its factorization.

133231000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2754 (or 2733 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 133231000 is about 11542.5733699206. The cubic root of 133231000 is about 510.7422231468.

Adding to 133231000 its reverse (132331), we get a palindrome (133363331).

The spelling of 133231000 in words is "one hundred thirty-three million, two hundred thirty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 125 140 175 196 200 245 250 280 350 392 490 500 700 875 980 1000 1225 1400 1750 1960 2450 2719 3500 4900 5438 6125 7000 9800 10876 12250 13595 19033 21752 24500 27190 38066 49000 54380 67975 76132 95165 108760 133231 135950 152264 190330 266462 271900 339875 380660 475825 532924 543800 666155 679750 761320 951650 1065848 1332310 1359500 1903300 2379125 2664620 2719000 3330775 3806600 4758250 5329240 6661550 9516500 13323100 16653875 19033000 26646200 33307750 66615500 133231000