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133211430 = 232511239563
BaseRepresentation
bin1111111000010…
…10010100100110
3100021122211201200
413330022110212
5233100231210
621115103330
73205164342
oct774122446
9307584650
10133211430
11692157a0
1238741b46
13217a1441
1413998622
15ba650c0
hex7f0a526

133211430 has 96 divisors (see below), whose sum is σ = 380090880. Its totient is φ = 32101440.

The previous prime is 133211417. The next prime is 133211437. The reversal of 133211430 is 34112331.

133211430 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133211437) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 236329 + ... + 236891.

It is an arithmetic number, because the mean of its divisors is an integer number (3959280).

Almost surely, 2133211430 is an apocalyptic number.

133211430 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 133211430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190045440).

133211430 is an abundant number, since it is smaller than the sum of its proper divisors (246879450).

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

133211430 is a wasteful number, since it uses less digits than its factorization.

133211430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 133211430 is about 11541.7256075511. The cubic root of 133211430 is about 510.7172146660.

Adding to 133211430 its reverse (34112331), we get a palindrome (167323761).

Subtracting from 133211430 its reverse (34112331), we obtain a palindrome (99099099).

The spelling of 133211430 in words is "one hundred thirty-three million, two hundred eleven thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 239 330 478 495 563 717 990 1126 1195 1434 1689 2151 2390 2629 2815 3378 3585 4302 5067 5258 5630 6193 7170 7887 8445 10134 10755 12386 13145 15774 16890 18579 21510 23661 25335 26290 30965 37158 39435 47322 50670 55737 61930 78870 92895 111474 118305 134557 185790 236610 269114 278685 403671 557370 672785 807342 1211013 1345570 1480127 2018355 2422026 2960254 4036710 4440381 6055065 7400635 8880762 12110130 13321143 14801270 22201905 26642286 44403810 66605715 133211430