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132034434120 = 23325616012497
BaseRepresentation
bin111101011110111011…
…1011001010001001000
3110121210201002012120200
41322331313121101020
54130401303342440
6140353352052200
712352636113111
oct1727567312110
9417721065520
10132034434120
1150aa4aa5646
122170a094060
13c5b25171c4
146567769208
15367b778c30
hex1ebddd9448

132034434120 has 96 divisors (see below), whose sum is σ = 436146604920. Its totient is φ = 34631976960.

The previous prime is 132034434073. The next prime is 132034434121. The reversal of 132034434120 is 21434430231.

132034434120 is a `hidden beast` number, since 1 + 3 + 203 + 4 + 43 + 412 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 25179977124 + 106854456996 = 158682^2 + 326886^2 .

It is not an unprimeable number, because it can be changed into a prime (132034434121) 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, 2984289 + ... + 3028208.

Almost surely, 2132034434120 is an apocalyptic number.

132034434120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132034434120 is an abundant number, since it is smaller than the sum of its proper divisors (304112170800).

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

132034434120 is a wasteful number, since it uses less digits than its factorization.

132034434120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6012575 (or 6012568 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 132034434120 its reverse (21434430231), we get a palindrome (153468864351).

The spelling of 132034434120 in words is "one hundred thirty-two billion, thirty-four million, four hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 61 72 90 120 122 180 183 244 305 360 366 488 549 610 732 915 1098 1220 1464 1830 2196 2440 2745 3660 4392 5490 7320 10980 21960 6012497 12024994 18037491 24049988 30062485 36074982 48099976 54112473 60124970 72149964 90187455 108224946 120249940 144299928 180374910 216449892 240499880 270562365 360749820 366762317 432899784 541124730 721499640 733524634 1082249460 1100286951 1467049268 1833811585 2164498920 2200573902 2934098536 3300860853 3667623170 4401147804 5501434755 6601721706 7335246340 8802295608 11002869510 13203443412 14670492680 16504304265 22005739020 26406886824 33008608530 44011478040 66017217060 132034434120