Search a number
-
+
100020121111120 = 2457295360483359
BaseRepresentation
bin10110101111011110111111…
…110010100000101001010000
3111010010211102012201212202111
4112233132333302200221100
5101102212202001023440
6552420335335555104
730032133561565630
oct2657367762405120
9433124365655674
10100020121111120
1129962327936831
12b2746a022ba94
1343a6b1a946462
141a9addd2226c0
15b86b45eb04ea
hex5af7bfca0a50

100020121111120 has 80 divisors (see below), whose sum is σ = 265857754014720. Its totient is φ = 34280999580672.

The previous prime is 100020121111117. The next prime is 100020121111187. The reversal of 100020121111120 is 21111121020001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-5 number, since 5×1000201211111205 (a number of 71 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 100020121111120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28588000 + ... + 31895359.

It is an arithmetic number, because the mean of its divisors is an integer number (3323221925184).

Almost surely, 2100020121111120 is an apocalyptic number.

100020121111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100020121111120 is an abundant number, since it is smaller than the sum of its proper divisors (165837632903600).

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

100020121111120 is a wasteful number, since it uses less digits than its factorization.

100020121111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60486332 (or 60486326 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 100020121111120 its reverse (21111121020001), we get a palindrome (121131242131121).

The spelling of 100020121111120 in words is "one hundred trillion, twenty billion, one hundred twenty-one million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 2953 5906 11812 14765 20671 23624 29530 41342 47248 59060 82684 103355 118120 165368 206710 236240 330736 413420 826840 1653680 60483359 120966718 241933436 302416795 423383513 483866872 604833590 846767026 967733744 1209667180 1693534052 2116917565 2419334360 3387068104 4233835130 4838668720 6774136208 8467670260 16935340520 33870681040 178607359127 357214718254 714429436508 893036795635 1250251513889 1428858873016 1786073591270 2500503027778 2857717746032 3572147182540 5001006055556 6251257569445 7144294365080 10002012111112 12502515138890 14288588730160 20004024222224 25005030277780 50010060555560 100020121111120