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132033330330 = 235111741574033
BaseRepresentation
bin111101011110111001…
…1001011110010011010
3110121210122000010110120
41322331303023302122
54130401013032310
6140353312254110
712352623535056
oct1727563136232
9417718003416
10132033330330
1150aa4411320
1221709841336
13c5b221b985
14656755cc66
15367b60bb70
hex1ebdccbc9a

132033330330 has 128 divisors (see below), whose sum is σ = 374949824256. Its totient is φ = 29390438400.

The previous prime is 132033330287. The next prime is 132033330353. The reversal of 132033330330 is 33033330231.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 132033330330.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57007 + ... + 517026.

It is an arithmetic number, because the mean of its divisors is an integer number (2929295502).

Almost surely, 2132033330330 is an apocalyptic number.

132033330330 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 132033330330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187474912128).

132033330330 is an abundant number, since it is smaller than the sum of its proper divisors (242916493926).

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

132033330330 is a wasteful number, since it uses less digits than its factorization.

132033330330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574112.

The product of its (nonzero) digits is 4374, while the sum is 24.

Adding to 132033330330 its reverse (33033330231), we get a palindrome (165066660561).

Subtracting from 132033330330 its reverse (33033330231), we obtain a palindrome (99000000099).

The spelling of 132033330330 in words is "one hundred thirty-two billion, thirty-three million, three hundred thirty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 17 22 30 33 34 41 51 55 66 82 85 102 110 123 165 170 187 205 246 255 330 374 410 451 510 561 615 697 902 935 1122 1230 1353 1394 1870 2091 2255 2706 2805 3485 4182 4510 5610 6765 6970 7667 10455 13530 15334 20910 23001 38335 46002 76670 115005 230010 574033 1148066 1722099 2870165 3444198 5740330 6314363 8610495 9758561 12628726 17220990 18943089 19517122 23535353 29275683 31571815 37886178 47070706 48792805 58551366 63143630 70606059 94715445 97585610 107344171 117676765 141212118 146378415 189430890 214688342 235353530 258888883 292756830 322032513 353030295 400101001 517777766 536720855 644065026 706060590 776666649 800202002 1073441710 1200303003 1294444415 1553333298 1610162565 2000505005 2400606006 2588888830 3220325130 3883333245 4001010010 4401111011 6001515015 7766666490 8802222022 12003030030 13203333033 22005555055 26406666066 44011110110 66016665165 132033330330