Search a number
-
+
10100132212101 = 337467541735969
BaseRepresentation
bin1001001011111001111011…
…0010101110110110000101
31022202120012120122122222120
42102332132302232312011
52310440032321241401
633251534153520153
72061465456165651
oct222763662566605
938676176578876
1010100132212101
113244495362018
121171581a13059
13583591179579
1426cbc5967a61
15127adaa96836
hex92f9ecaed85

10100132212101 has 32 divisors (see below), whose sum is σ = 13863372082560. Its totient is φ = 6536019787776.

The previous prime is 10100132212073. The next prime is 10100132212153. The reversal of 10100132212101 is 10121223100101.

It is not a de Polignac number, because 10100132212101 - 25 = 10100132212069 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100132214101) 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, 280783045 + ... + 280819013.

It is an arithmetic number, because the mean of its divisors is an integer number (433230377580).

Almost surely, 210100132212101 is an apocalyptic number.

It is an amenable number.

10100132212101 is a deficient number, since it is larger than the sum of its proper divisors (3763239870459).

10100132212101 is a wasteful number, since it uses less digits than its factorization.

10100132212101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41893.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 10100132212101 its reverse (10121223100101), we get a palindrome (20221355312202).

The spelling of 10100132212101 in words is "ten trillion, one hundred billion, one hundred thirty-two million, two hundred twelve thousand, one hundred one".

Divisors: 1 3 37 111 467 1401 5417 16251 17279 35969 51837 107907 200429 601287 1330853 2529739 3992559 7589217 16797523 50392569 93600343 194844073 280801029 584532219 621508351 1864525053 7209230701 21627692103 90992182091 272976546273 3366710737367 10100132212101