Search a number
-
+
132400204101 = 351149532437
BaseRepresentation
bin111101101001110101…
…0101100100101000101
3110122202012100020200000
41323103222230211011
54132123423012401
6140453535511513
712365000110644
oct1732352544505
9418665306600
10132400204101
1151172510a90
12217b0688599
13c640232349
1465a017d35b
15369d92a186
hex1ed3aac945

132400204101 has 24 divisors (see below), whose sum is σ = 216357689184. Its totient is φ = 80242546320.

The previous prime is 132400204081. The next prime is 132400204121. The reversal of 132400204101 is 101402004231.

132400204101 is a `hidden beast` number, since 13 + 240 + 0 + 2 + 0 + 410 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (132400204081) and next prime (132400204121).

It is not a de Polignac number, because 132400204101 - 26 = 132400204037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132400204121) 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, 24763546 + ... + 24768891.

It is an arithmetic number, because the mean of its divisors is an integer number (9014903716).

Almost surely, 2132400204101 is an apocalyptic number.

132400204101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

132400204101 is a deficient number, since it is larger than the sum of its proper divisors (83957485083).

132400204101 is an equidigital number, since it uses as much as digits as its factorization.

132400204101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49532463 (or 49532451 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 132400204101 its reverse (101402004231), we get a palindrome (233802208332).

The spelling of 132400204101 in words is "one hundred thirty-two billion, four hundred million, two hundred four thousand, one hundred one".

Divisors: 1 3 9 11 27 33 81 99 243 297 891 2673 49532437 148597311 445791933 544856807 1337375799 1634570421 4012127397 4903711263 12036382191 14711133789 44133401367 132400204101