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1110101200120 = 2351110927783561
BaseRepresentation
bin10000001001110111001…
…100000000110011111000
310221010100212020220022201
4100021313030000303320
5121141441401400440
62205550133155544
7143126225340403
oct20116714006370
93833325226281
101110101200120
11398878207170
1215b18a78bbb4
13808b3739573
143ba2cc50d3a
151dd2269e19a
hex10277300cf8

1110101200120 has 128 divisors (see below), whose sum is σ = 2759752036800. Its totient is φ = 398521036800.

The previous prime is 1110101200079. The next prime is 1110101200121. The reversal of 1110101200120 is 210021010111.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1110101200097 and 1110101200106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1110101200121) 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 31 ways as a sum of consecutive naturals, for example, 13243140 + ... + 13326700.

Almost surely, 21110101200120 is an apocalyptic number.

1110101200120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1110101200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1379876018400).

1110101200120 is an abundant number, since it is smaller than the sum of its proper divisors (1649650836680).

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

1110101200120 is a wasteful number, since it uses less digits than its factorization.

1110101200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83969 (or 83965 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1110101200120 its reverse (210021010111), we get a palindrome (1320122210231).

The spelling of 1110101200120 in words is "one trillion, one hundred ten billion, one hundred one million, two hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 109 110 218 220 277 436 440 545 554 872 1090 1108 1199 1385 2180 2216 2398 2770 3047 4360 4796 5540 5995 6094 9592 11080 11990 12188 15235 23980 24376 30193 30470 47960 60386 60940 83561 120772 121880 150965 167122 241544 301930 332123 334244 417805 603860 664246 668488 835610 919171 1207720 1328492 1660615 1671220 1838342 2656984 3321230 3342440 3676684 4595855 6642460 7353368 9108149 9191710 13284920 18216298 18383420 23146397 36432596 36766840 45540745 46292794 72865192 91081490 92585588 100189639 115731985 182162980 185171176 200379278 231463970 254610367 364325960 400758556 462927940 500948195 509220734 801517112 925855880 1001896390 1018441468 1273051835 2003792780 2036882936 2522957273 2546103670 4007585560 5045914546 5092207340 10091829092 10184414680 12614786365 20183658184 25229572730 27752530003 50459145460 55505060006 100918290920 111010120012 138762650015 222020240024 277525300030 555050600060 1110101200120