Search a number
-
+
133302130101 = 32723379532609
BaseRepresentation
bin111110000100101101…
…1010001010110110101
3110202002001110211112200
41330021123101112311
54141000321130401
6141123235135113
712426231260550
oct1741133212665
9422061424480
10133302130101
1151595639378
1221a02744499
13c75505157a
146647c7b697
153702bd7686
hex1f096d15b5

133302130101 has 96 divisors (see below), whose sum is σ = 236165829120. Its totient is φ = 70790049792.

The previous prime is 133302130099. The next prime is 133302130219. The reversal of 133302130101 is 101031203331.

It is a happy number.

133302130101 is a `hidden beast` number, since 13 + 330 + 21 + 301 + 0 + 1 = 666.

It is not a de Polignac number, because 133302130101 - 21 = 133302130099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133302135101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51091885 + ... + 51094493.

It is an arithmetic number, because the mean of its divisors is an integer number (2460060720).

Almost surely, 2133302130101 is an apocalyptic number.

It is an amenable number.

133302130101 is a deficient number, since it is larger than the sum of its proper divisors (102863699019).

133302130101 is a wasteful number, since it uses less digits than its factorization.

133302130101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3635 (or 3632 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 133302130101 its reverse (101031203331), we get a palindrome (234333333432).

The spelling of 133302130101 in words is "one hundred thirty-three billion, three hundred two million, one hundred thirty thousand, one hundred one".

Divisors: 1 3 7 9 21 23 37 63 69 111 161 207 259 333 483 777 851 953 1449 2331 2553 2609 2859 5957 6671 7659 7827 8577 17871 18263 20013 21919 23481 35261 53613 54789 60007 60039 65757 96533 105783 153433 164367 180021 197271 246827 289599 317349 420049 460299 540063 675731 740481 811003 868797 1260147 1380897 2027193 2220259 2221443 2433009 2486377 3780441 5677021 6081579 6660777 7299027 7459131 15541813 17031063 17404639 19982331 22377393 46625439 51093189 52213917 57186671 91995949 139876317 156641751 171560013 275987847 400306697 514680039 643971643 827963541 1200920091 1931914929 2115906827 3602760273 5795744787 6347720481 14811347789 19043161443 44434043367 133302130101