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1001110210120 = 235127197068939
BaseRepresentation
bin11101001000101101101…
…00011000011001001000
310112201001002110221110101
432210112310120121020
5112400233203210440
62043523110055144
7132220305245146
oct16442664303110
93481032427411
101001110210120
11356628684219
1214203194a4b4
13735342b28c7
143664da82596
151b093e6769a
hexe916d18648

1001110210120 has 32 divisors (see below), whose sum is σ = 2270234188800. Its totient is φ = 397290979008.

The previous prime is 1001110209929. The next prime is 1001110210123. The reversal of 1001110210120 is 210120111001.

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 = 1001110210097 and 1001110210106.

It is not an unprimeable number, because it can be changed into a prime (1001110210123) 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 7 ways as a sum of consecutive naturals, for example, 98529390 + ... + 98539549.

It is an arithmetic number, because the mean of its divisors is an integer number (70944818400).

Almost surely, 21001110210120 is an apocalyptic number.

1001110210120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001110210120 is an abundant number, since it is smaller than the sum of its proper divisors (1269123978680).

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

1001110210120 is a wasteful number, since it uses less digits than its factorization.

1001110210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197069077 (or 197069073 counting only the distinct ones).

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

Adding to 1001110210120 its reverse (210120111001), we get a palindrome (1211230321121).

The spelling of 1001110210120 in words is "one trillion, one billion, one hundred ten million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 127 254 508 635 1016 1270 2540 5080 197068939 394137878 788275756 985344695 1576551512 1970689390 3941378780 7882757560 25027755253 50055510506 100111021012 125138776265 200222042024 250277552530 500555105060 1001110210120