Search a number
-
+
10000133132101 = 729181758935863
BaseRepresentation
bin1001000110000101011001…
…1000100000111101000101
31022102000002110202001201221
42101201112120200331011
52302320233040211401
633133555302320341
72051325423061450
oct221412630407505
938360073661657
1010000133132101
11320603a4a5152
1211561144290b1
135770158cc808
1426801aaa6497
151251d698e7a1
hex91856620f45

10000133132101 has 32 divisors (see below), whose sum is σ = 11890034956800. Its totient is φ = 8228934685440.

The previous prime is 10000133132057. The next prime is 10000133132141. The reversal of 10000133132101 is 10123133100001.

It is not a de Polignac number, because 10000133132101 - 217 = 10000133001029 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000133132141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 278824696 + ... + 278860558.

It is an arithmetic number, because the mean of its divisors is an integer number (371563592400).

Almost surely, 210000133132101 is an apocalyptic number.

It is an amenable number.

10000133132101 is a deficient number, since it is larger than the sum of its proper divisors (1889901824699).

10000133132101 is a wasteful number, since it uses less digits than its factorization.

10000133132101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43669.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 10000133132101 its reverse (10123133100001), we get a palindrome (20123266232102).

The spelling of 10000133132101 in words is "ten trillion, one hundred thirty-three million, one hundred thirty-two thousand, one hundred one".

Divisors: 1 7 29 181 203 1267 5249 7589 35863 36743 53123 220081 251041 1040027 1373609 1540567 6491203 7280189 9615263 39834661 45438421 188244887 272164307 278842627 1317714209 1905150149 7892764903 49261739567 55249354321 344832176969 1428590447443 10000133132101