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132233433102134 = 271317294333403573
BaseRepresentation
bin11110000100001111111110…
…110011101011011100110110
3122100012101121022102101101022
4132010033332303223130312
5114313003032333232014
61145123111152301142
736565356512635520
oct3604177663533466
9570171538371338
10132233433102134
113915197a738731
12129b78852417b2
1358a27368465a0
1424921bd0c0a10
151044a65c19a8e
hex7843feceb736

132233433102134 has 128 divisors (see below), whose sum is σ = 268014298487040. Its totient is φ = 47427387162624.

The previous prime is 132233433102013. The next prime is 132233433102167. The reversal of 132233433102134 is 431201334332231.

It is a junction number, because it is equal to n+sod(n) for n = 132233433102094 and 132233433102103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37149572 + ... + 40553144.

It is an arithmetic number, because the mean of its divisors is an integer number (2093861706930).

Almost surely, 2132233433102134 is an apocalyptic number.

132233433102134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

132233433102134 is an abundant number, since it is smaller than the sum of its proper divisors (135780865384906).

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

132233433102134 is a wasteful number, since it uses less digits than its factorization.

132233433102134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3404074.

The product of its (nonzero) digits is 93312, while the sum is 35.

Adding to 132233433102134 its reverse (431201334332231), we get a palindrome (563434767434365).

The spelling of 132233433102134 in words is "one hundred thirty-two trillion, two hundred thirty-three billion, four hundred thirty-three million, one hundred two thousand, one hundred thirty-four".

Divisors: 1 2 7 13 14 17 26 29 34 58 91 119 182 203 221 238 377 406 433 442 493 754 866 986 1547 2639 3031 3094 3451 5278 5629 6062 6409 6902 7361 11258 12557 12818 14722 25114 39403 44863 51527 78806 87899 89726 95693 103054 163241 175798 191386 213469 326482 426938 669851 1142687 1339702 1494283 2285374 2775097 2988566 3403573 5550194 6807146 19425679 23825011 38851358 44246449 47650022 57860741 88492898 98703617 115721482 197407234 309725143 405025187 619450286 690925319 752189633 810050374 1283147021 1381850638 1473747109 1504379266 1677961489 2566294042 2947494218 3355922978 5265327431 8982029147 10316229763 10530654862 11745730423 17964058294 19158712417 20632459526 21813499357 23491460846 25053700853 38317424834 42738666161 43626998714 50107401706 85477332322 134110986919 152694495499 175375905971 268221973838 299170663127 305388990998 325698111089 350751811942 555602660093 598341326254 651396222178 726557324737 1111205320186 1453114649474 2279886777623 3889218620651 4559773555246 5085901273159 7778437241302 9445245221581 10171802546318 18890490443162 66116716551067 132233433102134