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2055101112 = 233315760601
BaseRepresentation
bin111101001111110…
…0101101010111000
312022020000221202000
41322133211222320
513202101213422
6535531541000
7101633033301
oct17237455270
95266027660
102055101112
11965061979
124942ba760
132699ca57c
14156d1d7a8
15c0648cac
hex7a7e5ab8

2055101112 has 64 divisors (see below), whose sum is σ = 5745069600. Its totient is φ = 680659200.

The previous prime is 2055101099. The next prime is 2055101119. The reversal of 2055101112 is 2111015502.

2055101112 is a `hidden beast` number, since 2 + 0 + 551 + 0 + 1 + 112 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2055101119) 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 15 ways as a sum of consecutive naturals, for example, 3612 + ... + 64212.

Almost surely, 22055101112 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 2055101112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2872534800).

2055101112 is an abundant number, since it is smaller than the sum of its proper divisors (3689968488).

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

2055101112 is a wasteful number, since it uses less digits than its factorization.

2055101112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60773 (or 60763 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 18.

The square root of 2055101112 is about 45333.2230488855. The cubic root of 2055101112 is about 1271.3868974840.

Adding to 2055101112 its reverse (2111015502), we get a palindrome (4166116614).

The spelling of 2055101112 in words is "two billion, fifty-five million, one hundred one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 157 216 314 471 628 942 1256 1413 1884 2826 3768 4239 5652 8478 11304 16956 33912 60601 121202 181803 242404 363606 484808 545409 727212 1090818 1454424 1636227 2181636 3272454 4363272 6544908 9514357 13089816 19028714 28543071 38057428 57086142 76114856 85629213 114172284 171258426 228344568 256887639 342516852 513775278 685033704 1027550556 2055101112