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101527308132 = 22317894155663
BaseRepresentation
bin101111010001101111…
…1111100011101100100
3100201001121112122010120
41132203133330131210
53130411442330012
6114350242321540
710222640610615
oct1364337743544
9321047478116
10101527308132
113a06a578328
12178153592b0
139760073673
144cb1c31c0c
15299337a58c
hex17a37fc764

101527308132 has 48 divisors (see below), whose sum is σ = 250864733952. Its totient is φ = 31847569920.

The previous prime is 101527308131. The next prime is 101527308143. The reversal of 101527308132 is 231803725101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101527308093 and 101527308102.

It is not an unprimeable number, because it can be changed into a prime (101527308131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1796133 + ... + 1851795.

It is an arithmetic number, because the mean of its divisors is an integer number (5226348624).

Almost surely, 2101527308132 is an apocalyptic number.

101527308132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101527308132 is an abundant number, since it is smaller than the sum of its proper divisors (149337425820).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101527308132 is a wasteful number, since it uses less digits than its factorization.

101527308132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64628 (or 64626 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The spelling of 101527308132 in words is "one hundred one billion, five hundred twenty-seven million, three hundred eight thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 8941 17882 26823 35764 53646 55663 107292 111326 151997 166989 222652 303994 333978 455991 607988 667956 911982 946271 1823964 1892542 2838813 3785084 5677626 11355252 497682883 995365766 1493048649 1990731532 2986097298 5972194596 8460609011 16921218022 25381827033 33842436044 50763654066 101527308132