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100540132401 = 389376554803
BaseRepresentation
bin101110110100010101…
…0001010110000110001
3100121111210222220121110
41131220222022300301
53121401233214101
6114104255543533
710156323011352
oct1355052126061
9317453886543
10100540132401
1139703313615
121759a82aba9
1396336a6707
144c1aaa1d29
15293687dcd6
hex1768a8ac31

100540132401 has 8 divisors (see below), whose sum is σ = 135559729440. Its totient is φ = 66273645152.

The previous prime is 100540132373. The next prime is 100540132453. The reversal of 100540132401 is 104231045001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100540132401 - 29 = 100540131889 is a prime.

It is a super-2 number, since 2×1005401324012 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100540132471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 188277135 + ... + 188277668.

It is an arithmetic number, because the mean of its divisors is an integer number (16944966180).

Almost surely, 2100540132401 is an apocalyptic number.

It is an amenable number.

100540132401 is a deficient number, since it is larger than the sum of its proper divisors (35019597039).

100540132401 is an equidigital number, since it uses as much as digits as its factorization.

100540132401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376554895.

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 100540132401 its reverse (104231045001), we get a palindrome (204771177402).

The spelling of 100540132401 in words is "one hundred billion, five hundred forty million, one hundred thirty-two thousand, four hundred one".

Divisors: 1 3 89 267 376554803 1129664409 33513377467 100540132401