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133333114122 = 233132129111317
BaseRepresentation
bin111110000101101000…
…1011101110100001010
3110202011012202222122000
41330023101131310022
54141031234122442
6141130303211430
712430055525145
oct1741321356412
9422135688560
10133333114122
11516010810aa
1221a10ba6b76
13c75b5ac400
14664c02505c
1537057a7d4c
hex1f0b45dd0a

133333114122 has 96 divisors (see below), whose sum is σ = 321117917760. Its totient is φ = 40990173120.

The previous prime is 133333114097. The next prime is 133333114129. The reversal of 133333114122 is 221411333331.

133333114122 is a `hidden beast` number, since 1 + 3 + 333 + 311 + 4 + 12 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (133333114129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11776008 + ... + 11787324.

It is an arithmetic number, because the mean of its divisors is an integer number (3344978310).

Almost surely, 2133333114122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133333114122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160558958880).

133333114122 is an abundant number, since it is smaller than the sum of its proper divisors (187784803638).

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

133333114122 is a wasteful number, since it uses less digits than its factorization.

133333114122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12645 (or 12626 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

Adding to 133333114122 its reverse (221411333331), we get a palindrome (354744447453).

The spelling of 133333114122 in words is "one hundred thirty-three billion, three hundred thirty-three million, one hundred fourteen thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 169 234 338 351 507 702 1014 1291 1521 2582 3042 3873 4563 7746 9126 11317 11619 16783 22634 23238 33566 33951 34857 50349 67902 69714 100698 101853 147121 151047 203706 218179 294242 302094 305559 436358 441363 453141 611118 654537 882726 906282 1309074 1324089 1912573 1963611 2648178 3825146 3927222 3972267 5737719 5890833 7944534 11475438 11781666 14610247 17213157 29220494 34426314 43830741 51639471 87661482 103278942 131492223 189933211 262984446 379866422 394476669 569799633 788953338 1139599266 1709398899 2469131743 3418797798 4938263486 5128196697 7407395229 10256393394 14814790458 22222185687 44444371374 66666557061 133333114122