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101105555060 = 22547931054721
BaseRepresentation
bin101111000101001011…
…1000101011001110100
3100122222012221100200102
41132022113011121310
53124031010230220
6114240334533232
710206330016046
oct1361227053164
9318865840612
10101105555060
11399734a4a74
1217718067218
1396c3886a33
144c71c07a96
15296b31b775
hex178a5c5674

101105555060 has 24 divisors (see below), whose sum is σ = 212366165256. Its totient is φ = 40433745920.

The previous prime is 101105555051. The next prime is 101105555069. The reversal of 101105555060 is 60555501101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101105555051) and next prime (101105555069).

It can be written as a sum of positive squares in 4 ways, for example, as 57656653924 + 43448901136 = 240118^2 + 208444^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101105555069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 431501 + ... + 623220.

It is an arithmetic number, because the mean of its divisors is an integer number (8848590219).

Almost surely, 2101105555060 is an apocalyptic number.

101105555060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101105555060 is an abundant number, since it is smaller than the sum of its proper divisors (111260610196).

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

101105555060 is a wasteful number, since it uses less digits than its factorization.

101105555060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059523 (or 1059521 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 29.

The spelling of 101105555060 in words is "one hundred one billion, one hundred five million, five hundred fifty-five thousand, sixty".

Divisors: 1 2 4 5 10 20 4793 9586 19172 23965 47930 95860 1054721 2109442 4218884 5273605 10547210 21094420 5055277753 10110555506 20221111012 25276388765 50552777530 101105555060