Search a number
-
+
132122124334404 = 223229373431787207
BaseRepresentation
bin11110000010101000010100…
…010010011011010101000100
3122022210202022000100010012100
4132002220110102123111010
5114304142102312200104
61145000022131152100
736554336260006641
oct3602502422332504
9568722260303170
10132122124334404
1139109750851aa6
121299a1a0145630
1358950a8161a09
14248aa60176dc8
151041bedc9e139
hex782a1449b544

132122124334404 has 144 divisors (see below), whose sum is σ = 347222208453120. Its totient is φ = 42309614511360.

The previous prime is 132122124334391. The next prime is 132122124334411. The reversal of 132122124334404 is 404433421221231.

132122124334404 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 2 + 2 + 1 + 243 + 3 + 4 + 404 = 666.

It is a super-3 number, since 3×1321221243344043 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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, 167442969 + ... + 168230175.

It is an arithmetic number, because the mean of its divisors is an integer number (2411265336480).

Almost surely, 2132122124334404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132122124334404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173611104226560).

132122124334404 is an abundant number, since it is smaller than the sum of its proper divisors (215100084118716).

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

132122124334404 is a wasteful number, since it uses less digits than its factorization.

132122124334404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788050 (or 788045 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 132122124334404 its reverse (404433421221231), we get a palindrome (536555545555635).

The spelling of 132122124334404 in words is "one hundred thirty-two trillion, one hundred twenty-two billion, one hundred twenty-four million, three hundred thirty-four thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 373 431 522 746 862 1044 1119 1293 1492 1724 2238 2586 3357 3879 4476 5172 6714 7758 10817 12499 13428 15516 21634 24998 32451 37497 43268 49996 64902 74994 97353 112491 129804 149988 160763 194706 224982 321526 389412 449964 482289 643052 787207 964578 1446867 1574414 1929156 2361621 2893734 3148828 4662127 4723242 5787468 7084863 9324254 9446484 13986381 14169726 18648508 22829003 27972762 28339452 41959143 45658006 55945524 68487009 83918286 91316012 136974018 167836572 205461027 273948036 293628211 339286217 410922054 587256422 678572434 821844108 880884633 1017858651 1174512844 1357144868 1761769266 2035717302 2642653899 3053575953 3523538532 4071434604 5285307798 6107151906 8515218119 9839300293 10570615596 12214303812 17030436238 19678600586 25545654357 29517900879 34060872476 39357201172 51091308714 59035801758 76636963071 88553702637 102182617428 118071603516 126553758941 153273926142 177107405274 253107517882 306547852284 354214810548 379661276823 506215035764 759322553646 1138983830469 1518645107292 2277967660938 3670059009289 4555935321876 7340118018578 11010177027867 14680236037156 22020354055734 33030531083601 44040708111468 66061062167202 132122124334404