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100133132141 = 722043533309
BaseRepresentation
bin101110101000001100…
…1100101011101101101
3100120110110011011012202
41131100121211131231
53120033040212031
6114000040311245
710143251402600
oct1352031453555
9316413134182
10100133132141
11395145a7269
12174a6472525
13959a283a63
144bbc9d8337
152910c862cb
hex175066576d

100133132141 has 6 divisors (see below), whose sum is σ = 116481398670. Its totient is φ = 85828398936.

The previous prime is 100133132137. The next prime is 100133132149. The reversal of 100133132141 is 141231331001.

It can be written as a sum of positive squares in only one way, i.e., 99379410025 + 753722116 = 315245^2 + 27454^2 .

It is not a de Polignac number, because 100133132141 - 22 = 100133132137 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100133132149) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1021766606 + ... + 1021766703.

It is an arithmetic number, because the mean of its divisors is an integer number (19413566445).

Almost surely, 2100133132141 is an apocalyptic number.

It is an amenable number.

100133132141 is a deficient number, since it is larger than the sum of its proper divisors (16348266529).

100133132141 is an equidigital number, since it uses as much as digits as its factorization.

100133132141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2043533323 (or 2043533316 counting only the distinct ones).

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

Adding to 100133132141 its reverse (141231331001), we get a palindrome (241364463142).

The spelling of 100133132141 in words is "one hundred billion, one hundred thirty-three million, one hundred thirty-two thousand, one hundred forty-one".

Divisors: 1 7 49 2043533309 14304733163 100133132141