Search a number
-
+
132121332213030 = 23254218574068811
BaseRepresentation
bin11110000010100111100101…
…000100101110010100100110
3122022210200020210211011221200
4132002213211010232110212
5114304133442021304110
61144555411353223330
736554310531046116
oct3602474504562446
9568720223734850
10132121332213030
1139109384702536
1212999bbaa01b46
135894cb0009c44
14248a9c6c9d046
151041ba44816c0
hex7829e512e526

132121332213030 has 96 divisors (see below), whose sum is σ = 344733286648608. Its totient is φ = 35107645708800.

The previous prime is 132121332212971. The next prime is 132121332213061. The reversal of 132121332213030 is 30312233121231.

132121332213030 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 2 + 1 + 332 + 21 + 303 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 132121332212985 and 132121332213003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30437325 + ... + 34506135.

It is an arithmetic number, because the mean of its divisors is an integer number (3590971735923).

Almost surely, 2132121332213030 is an apocalyptic number.

132121332213030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132121332213030 is an abundant number, since it is smaller than the sum of its proper divisors (212611954435578).

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

132121332213030 is a wasteful number, since it uses less digits than its factorization.

132121332213030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4070102 (or 4070099 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 132121332213030 its reverse (30312233121231), we get a palindrome (162433565334261).

The spelling of 132121332213030 in words is "one hundred thirty-two trillion, one hundred twenty-one billion, three hundred thirty-two million, two hundred thirteen thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 421 842 857 1263 1714 2105 2526 2571 3789 4210 4285 5142 6315 7578 7713 8570 12630 12855 15426 18945 25710 37890 38565 77130 360797 721594 1082391 1803985 2164782 3247173 3607970 4068811 5411955 6494346 8137622 10823910 12206433 16235865 20344055 24412866 32471730 36619299 40688110 61032165 73238598 122064330 183096495 366192990 1712969431 3425938862 3486971027 5138908293 6973942054 8564847155 10277816586 10460913081 15416724879 17129694310 17434855135 20921826162 25694541465 30833449758 31382739243 34869710270 51389082930 52304565405 62765478486 77083624395 104609130810 154167248790 156913696215 313827392430 1468014802367 2936029604734 4404044407101 7340074011835 8808088814202 13212133221303 14680148023670 22020222035505 26424266442606 44040444071010 66060666106515 132121332213030