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1110002012100 = 2232521233335569
BaseRepresentation
bin10000001001110001010…
…001101000111111000100
310221010002221121121221100
4100021301101220333010
5121141241003341400
62205532231220100
7143123612266452
oct20116121507704
93833087547840
101110002012100
1139882721a7a3
1215b161517630
138089901b527
143ba1d9d19d2
151dd18b0a100
hex10271468fc4

1110002012100 has 54 divisors (see below), whose sum is σ = 3479239642970. Its totient is φ = 296000536320.

The previous prime is 1110002012057. The next prime is 1110002012101. The reversal of 1110002012100 is 12102000111.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 378638392896 + 731363619204 = 615336^2 + 855198^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1110002012101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 616666885 + ... + 616668684.

Almost surely, 21110002012100 is an apocalyptic number.

1110002012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1110002012100 is an abundant number, since it is smaller than the sum of its proper divisors (2369237630870).

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

1110002012100 is a wasteful number, since it uses less digits than its factorization.

1110002012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1233335589 (or 1233335579 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1110002012100 its reverse (12102000111), we get a palindrome (1122104012211).

The spelling of 1110002012100 in words is "one trillion, one hundred ten billion, two million, twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 1233335569 2466671138 3700006707 4933342276 6166677845 7400013414 11100020121 12333355690 14800026828 18500033535 22200040242 24666711380 30833389225 37000067070 44400080484 55500100605 61666778450 74000134140 92500167675 111000201210 123333556900 185000335350 222000402420 277500503025 370000670700 555001006050 1110002012100