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102132221301 = 361112736279
BaseRepresentation
bin101111100011110001…
…1100000010101110101
3100202121202210102000000
41133013203200111311
53133131322040201
6114530251541513
710243634362065
oct1370743402565
9322552712000
10102132221301
113a34aa81570
1217963a5a899
13982849c656
144d2c2d73a5
1529cb518d86
hex17c78e0575

102132221301 has 28 divisors (see below), whose sum is σ = 167049048480. Its totient is φ = 61898311080.

The previous prime is 102132221299. The next prime is 102132221339. The reversal of 102132221301 is 103122231201.

102132221301 is a `hidden beast` number, since 1 + 0 + 21 + 322 + 21 + 301 = 666.

It is not a de Polignac number, because 102132221301 - 21 = 102132221299 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102132221381) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 6360121 + ... + 6376158.

Almost surely, 2102132221301 is an apocalyptic number.

102132221301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102132221301 is a deficient number, since it is larger than the sum of its proper divisors (64916827179).

102132221301 is an equidigital number, since it uses as much as digits as its factorization.

102132221301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12736308 (or 12736293 counting only the distinct ones).

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

Adding to 102132221301 its reverse (103122231201), we get a palindrome (205254452502).

The spelling of 102132221301 in words is "one hundred two billion, one hundred thirty-two million, two hundred twenty-one thousand, three hundred one".

Divisors: 1 3 9 11 27 33 81 99 243 297 729 891 2673 8019 12736279 38208837 114626511 140099069 343879533 420297207 1031638599 1260891621 3094915797 3782674863 9284747391 11348024589 34044073767 102132221301