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1001111101020 = 223255561728339
BaseRepresentation
bin11101001000101101101…
…11110001111001011100
310112201001011011012112200
432210112313301321130
5112400233420213040
62043523141131500
7132220315645422
oct16442667617134
93481034135480
101001111101020
113566291325a8
121420320b9b90
1373534535274
143664dc35112
151b094091630
hexe916df1e5c

1001111101020 has 36 divisors (see below), whose sum is σ = 3036703673640. Its totient is φ = 266962960224.

The previous prime is 1001111101009. The next prime is 1001111101061. The reversal of 1001111101020 is 201011111001.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 1001111100993 and 1001111101011.

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 11 ways as a sum of consecutive naturals, for example, 2780863990 + ... + 2780864349.

Almost surely, 21001111101020 is an apocalyptic number.

1001111101020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001111101020 is an abundant number, since it is smaller than the sum of its proper divisors (2035592572620).

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

1001111101020 is a wasteful number, since it uses less digits than its factorization.

1001111101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5561728354 (or 5561728349 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1001111101020 its reverse (201011111001), we get a palindrome (1202122212021).

The spelling of 1001111101020 in words is "one trillion, one billion, one hundred eleven million, one hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 5561728339 11123456678 16685185017 22246913356 27808641695 33370370034 50055555051 55617283390 66740740068 83425925085 100111110102 111234566780 166851850170 200222220204 250277775255 333703700340 500555550510 1001111101020