Search a number
-
+
132100233210101 = 1371821917413373
BaseRepresentation
bin11110000010010011111011…
…011110011010100011110101
3122022201122210101022210002202
4132002103323132122203311
5114303312234200210401
61144542002004314245
736552632632351052
oct3602237336324365
9568648711283082
10132100233210101
113910043788a332
1212995ab09a2985
135892cc9a40420
142489984a58029
15104136beca06b
hex7824fb79a8f5

132100233210101 has 16 divisors (see below), whose sum is σ = 144283037754240. Its totient is φ = 120206596520640.

The previous prime is 132100233210067. The next prime is 132100233210133. The reversal of 132100233210101 is 101012332001231.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 132100233210101 - 230 = 132099159468277 is a prime.

It is a super-2 number, since 2×1321002332101012 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132100233210151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1120550 + ... + 16292823.

It is an arithmetic number, because the mean of its divisors is an integer number (9017689859640).

Almost surely, 2132100233210101 is an apocalyptic number.

It is an amenable number.

132100233210101 is a deficient number, since it is larger than the sum of its proper divisors (12182804544139).

132100233210101 is a wasteful number, since it uses less digits than its factorization.

132100233210101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17421676.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 132100233210101 its reverse (101012332001231), we get a palindrome (233112565211332).

The spelling of 132100233210101 in words is "one hundred thirty-two trillion, one hundred billion, two hundred thirty-three million, two hundred ten thousand, one hundred one".

Divisors: 1 13 71 923 8219 106847 583549 7586137 17413373 226373849 1236349483 16072543279 143120512687 1860566664931 10161556400777 132100233210101