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1021101100120 = 235139277663001
BaseRepresentation
bin11101101101111100101…
…11100100110001011000
310121121122021212101010201
432312332113210301120
5113212203340200440
62101030512151544
7133525560100243
oct16667627446130
93547567771121
101021101100120
11364056a50812
12145a908385b4
137539bb1aaba
14375c8a7625a
151b863ed419a
hexedbe5e4c58

1021101100120 has 64 divisors (see below), whose sum is σ = 2322363405600. Its totient is φ = 404037504000.

The previous prime is 1021101100111. The next prime is 1021101100193. The reversal of 1021101100120 is 210011011201.

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 = 1021101100097 and 1021101100106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1208620 + ... + 1871620.

Almost surely, 21021101100120 is an apocalyptic number.

1021101100120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1021101100120 is an abundant number, since it is smaller than the sum of its proper divisors (1301262305480).

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

1021101100120 is a wasteful number, since it uses less digits than its factorization.

1021101100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663428 (or 663424 counting only the distinct ones).

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

Adding to 1021101100120 its reverse (210011011201), we get a palindrome (1231112111321).

The spelling of 1021101100120 in words is "one trillion, twenty-one billion, one hundred one million, one hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 139 277 278 554 556 695 1108 1112 1385 1390 2216 2770 2780 5540 5560 11080 38503 77006 154012 192515 308024 385030 663001 770060 1326002 1540120 2652004 3315005 5304008 6630010 13260020 26520040 92157139 183651277 184314278 367302554 368628556 460785695 734605108 737257112 918256385 921571390 1469210216 1836512770 1843142780 3673025540 3686285560 7346051080 25527527503 51055055006 102110110012 127637637515 204220220024 255275275030 510550550060 1021101100120