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133212330 = 2335716949
BaseRepresentation
bin1111111000010…
…10100010101010
3100021122212222000
413330022202222
5233100243310
621115111430
73205200066
oct774124252
9307585860
10133212330
1169216439
1238742576
13217a1984
1413998aa6
15ba654c0
hex7f0a8aa

133212330 has 64 divisors (see below), whose sum is σ = 360288000. Its totient is φ = 35017920.

The previous prime is 133212319. The next prime is 133212397. The reversal of 133212330 is 33212331.

133212330 is a `hidden beast` number, since 1 + 332 + 1 + 2 + 330 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15696 + ... + 22644.

It is an arithmetic number, because the mean of its divisors is an integer number (5629500).

Almost surely, 2133212330 is an apocalyptic number.

133212330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133212330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180144000).

133212330 is an abundant number, since it is smaller than the sum of its proper divisors (227075670).

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

133212330 is a wasteful number, since it uses less digits than its factorization.

133212330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7036 (or 7030 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 133212330 is about 11541.7645964558. The cubic root of 133212330 is about 510.7183648287.

Adding to 133212330 its reverse (33212331), we get a palindrome (166424661).

Subtracting from 133212330 its reverse (33212331), we obtain a palindrome (99999999).

It can be divided in two parts, 13321 and 2330, that added together give a palindrome (15651).

The spelling of 133212330 in words is "one hundred thirty-three million, two hundred twelve thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 71 90 135 142 213 270 355 426 639 710 1065 1278 1917 2130 3195 3834 6390 6949 9585 13898 19170 20847 34745 41694 62541 69490 104235 125082 187623 208470 312705 375246 493379 625410 938115 986758 1480137 1876230 2466895 2960274 4440411 4933790 7400685 8880822 13321233 14801370 22202055 26642466 44404110 66606165 133212330