Search a number
-
+
120132022131 = 33112353389853
BaseRepresentation
bin110111111100001101…
…1010010111101110011
3102111002012121000211000
41233320123102331303
53432012244202011
6131104330053043
711451661224402
oct1577033227563
9374065530730
10120132022131
1146a47438320
121b347b7a183
13b436660384
145b58ab1639
1531d1883356
hex1bf86d2f73

120132022131 has 128 divisors (see below), whose sum is σ = 207189964800. Its totient is φ = 68072209920.

The previous prime is 120132022111. The next prime is 120132022159. The reversal of 120132022131 is 131220231021.

120132022131 is a `hidden beast` number, since 120 + 1 + 320 + 221 + 3 + 1 = 666.

It is not a de Polignac number, because 120132022131 - 25 = 120132022099 is a prime.

It is a super-2 number, since 2×1201320221312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (120132022111) 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, 140834301 + ... + 140835153.

It is an arithmetic number, because the mean of its divisors is an integer number (1618671600).

Almost surely, 2120132022131 is an apocalyptic number.

120132022131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

120132022131 is a deficient number, since it is larger than the sum of its proper divisors (87057942669).

120132022131 is a wasteful number, since it uses less digits than its factorization.

120132022131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1338 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 120132022131 its reverse (131220231021), we get a palindrome (251352253152).

The spelling of 120132022131 in words is "one hundred twenty billion, one hundred thirty-two million, twenty-two thousand, one hundred thirty-one".

Divisors: 1 3 9 11 23 27 33 53 69 99 159 207 253 297 389 477 583 621 759 853 1167 1219 1431 1749 2277 2559 3501 3657 4279 5247 6831 7677 8947 9383 10503 10971 12837 13409 15741 19619 20617 23031 26841 28149 32913 38511 40227 45209 58857 61851 80523 84447 98417 115533 120681 135627 176571 185553 215809 226787 241569 253341 295251 331817 362043 406881 474191 497299 529713 556659 647427 680361 885753 995451 1039807 1220643 1422573 1491897 1942281 2041083 2657259 2986353 3119421 3649987 4267719 4475691 5216101 5826843 6123249 7631791 8959059 9358263 10949961 11437877 12803157 13427073 15648303 17586301 22895373 28074789 32849883 34313631 46944909 52758903 68686119 83949701 98549649 102940893 140834727 158276709 193449311 206058357 251849103 308822679 404484923 474830127 580347933 755547309 1213454769 1741043799 2266641927 3640364307 4449334153 5223131397 10921092921 13348002459 40044007377 120132022131