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11111000879132 = 227111673975091069
BaseRepresentation
bin1010000110101111101101…
…0000101011000000011100
31110100012102202101120201222
42201223323100223000130
52424020312211113012
635344153501352512
72224512650115620
oct241537320530034
943305382346658
1011111000879132
1135a4170373360
1212b5477868738
136279bc0a831b
142a5abd655180
151440515a8972
hexa1afb42b01c

11111000879132 has 192 divisors, whose sum is σ = 24519724185600. Its totient is φ = 4279760686080.

The previous prime is 11111000879131. The next prime is 11111000879137. The reversal of 11111000879132 is 23197800011111.

It is a junction number, because it is equal to n+sod(n) for n = 11111000879092 and 11111000879101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11111000879131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10393826294 + ... + 10393827362.

It is an arithmetic number, because the mean of its divisors is an integer number (127706896800).

Almost surely, 211111000879132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11111000879132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12259862092800).

11111000879132 is an abundant number, since it is smaller than the sum of its proper divisors (13408723306468).

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

11111000879132 is a wasteful number, since it uses less digits than its factorization.

11111000879132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2164 (or 2162 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 35.

The spelling of 11111000879132 in words is "eleven trillion, one hundred eleven billion, eight hundred seventy-nine thousand, one hundred thirty-two".