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1001012120010 = 232571588908127
BaseRepresentation
bin11101001000100001111…
…10001100100111001010
310112200210020220110010100
432210100332030213022
5112400033100320020
62043505243430230
7132215004426150
oct16442076144712
93480706813110
101001012120010
11356588277711
12142004b25376
1373519b8a516
1436640a2b3d0
151b08a53da90
hexe910f8c9ca

1001012120010 has 48 divisors (see below), whose sum is σ = 2974436015616. Its totient is φ = 228802770144.

The previous prime is 1001012119967. The next prime is 1001012120023. The reversal of 1001012120010 is 100212101001.

It is a happy number.

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 = 1001012119974 and 1001012120001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 794453434 + ... + 794454693.

It is an arithmetic number, because the mean of its divisors is an integer number (61967416992).

Almost surely, 21001012120010 is an apocalyptic number.

1001012120010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1001012120010 is an abundant number, since it is smaller than the sum of its proper divisors (1973423895606).

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

1001012120010 is a wasteful number, since it uses less digits than its factorization.

1001012120010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1588908147 (or 1588908144 counting only the distinct ones).

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

Adding to 1001012120010 its reverse (100212101001), we get a palindrome (1101224221011).

The spelling of 1001012120010 in words is "one trillion, one billion, twelve million, one hundred twenty thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 1588908127 3177816254 4766724381 7944540635 9533448762 11122356889 14300173143 15889081270 22244713778 23833621905 28600346286 33367070667 47667243810 55611784445 66734141334 71500865715 100101212001 111223568890 143001731430 166835353335 200202424002 333670706670 500506060005 1001012120010