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101200132341 = 32711146031937
BaseRepresentation
bin101111000111111111…
…1110111100011110101
3100200012210220101022200
41132033333313203311
53124224213213331
6114253554015113
710211555634420
oct1361777674365
9320183811280
10101200132341
1139a11922310
1217743877499
13970a34c219
144c805c69b7
15297479e5e6
hex178fff78f5

101200132341 has 24 divisors (see below), whose sum is σ = 182247858624. Its totient is φ = 52571496960.

The previous prime is 101200132339. The next prime is 101200132357. The reversal of 101200132341 is 143231002101.

101200132341 is a `hidden beast` number, since 101 + 200 + 1 + 323 + 41 = 666.

It is not a de Polignac number, because 101200132341 - 21 = 101200132339 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 (101200136341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73015276 + ... + 73016661.

It is an arithmetic number, because the mean of its divisors is an integer number (7593660776).

Almost surely, 2101200132341 is an apocalyptic number.

101200132341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101200132341 is a deficient number, since it is larger than the sum of its proper divisors (81047726283).

101200132341 is a wasteful number, since it uses less digits than its factorization.

101200132341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146031961 (or 146031958 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 101200132341 its reverse (143231002101), we get a palindrome (244431134442).

The spelling of 101200132341 in words is "one hundred one billion, two hundred million, one hundred thirty-two thousand, three hundred forty-one".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 146031937 438095811 1022223559 1314287433 1606351307 3066670677 4819053921 9200012031 11244459149 14457161763 33733377447 101200132341