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132124213221 = 371113196013853
BaseRepresentation
bin111101100001100110…
…1110111111111100101
3110122000222000110100120
41323003031313333211
54131042244310341
6140410320232153
712355106165550
oct1730315677745
9418028013316
10132124213221
1151040745a50
122173416b659
13c5c7cbc730
146575659697
1536845b0066
hex1ec3377fe5

132124213221 has 128 divisors (see below), whose sum is σ = 249458012160. Its totient is φ = 59906304000.

The previous prime is 132124213219. The next prime is 132124213241. The reversal of 132124213221 is 122312421231.

It is not a de Polignac number, because 132124213221 - 21 = 132124213219 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 132124213191 and 132124213200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132124213201) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34289331 + ... + 34293183.

It is an arithmetic number, because the mean of its divisors is an integer number (1948890720).

Almost surely, 2132124213221 is an apocalyptic number.

132124213221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

132124213221 is a deficient number, since it is larger than the sum of its proper divisors (117333798939).

132124213221 is a wasteful number, since it uses less digits than its factorization.

132124213221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4507.

The product of its digits is 1152, while the sum is 24.

Adding to 132124213221 its reverse (122312421231), we get a palindrome (254436634452).

The spelling of 132124213221 in words is "one hundred thirty-two billion, one hundred twenty-four million, two hundred thirteen thousand, two hundred twenty-one".

Divisors: 1 3 7 11 13 19 21 33 39 57 77 91 133 143 209 231 247 273 399 429 601 627 741 1001 1463 1729 1803 2717 3003 3853 4207 4389 5187 6611 7813 8151 11419 11559 12621 19019 19833 23439 26971 34257 42383 46277 50089 54691 57057 73207 79933 80913 85943 125609 127149 138831 148447 150267 164073 219621 239799 257829 296681 350623 376827 445341 512449 550979 601601 805277 879263 890043 951691 1039129 1051869 1537347 1632917 1652937 1804803 2315653 2415831 2637789 2855073 3117387 3856853 4898751 5636939 6661837 6946959 10468601 11430419 11570559 16209571 16910817 19985511 25472183 30103489 31405803 34291257 43997407 48628713 73280207 76416549 90310467 131992221 178305281 210724423 219840621 307981849 331138379 483971477 534915843 571966291 632173269 923945547 993415137 1451914431 1715898873 2317968653 3387800339 4003764037 6291629201 6953905959 10163401017 12011292111 18874887603 44041404407 132124213221