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1010001012012 = 2232171650328451
BaseRepresentation
bin11101011001010001100…
…00000110010100101100
310120112222201002110211100
432230220300012110230
5113021440224341022
62051553230523100
7132653523644316
oct16545060062454
93515881073740
101010001012012
1135a380271283
121438b3366490
137432024b825
1436c547907b6
151b4147741ac
hexeb28c0652c

1010001012012 has 36 divisors (see below), whose sum is σ = 2703238004376. Its totient is φ = 316863062400.

The previous prime is 1010001012011. The next prime is 1010001012049. The reversal of 1010001012012 is 2102101000101.

It is a happy number.

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 = 1010001011985 and 1010001012003.

It is not an unprimeable number, because it can be changed into a prime (1010001012011) 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 11 ways as a sum of consecutive naturals, for example, 825163614 + ... + 825164837.

It is an arithmetic number, because the mean of its divisors is an integer number (75089944566).

Almost surely, 21010001012012 is an apocalyptic number.

1010001012012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1010001012012 is an abundant number, since it is smaller than the sum of its proper divisors (1693236992364).

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

1010001012012 is a wasteful number, since it uses less digits than its factorization.

1010001012012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1650328478 (or 1650328473 counting only the distinct ones).

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

Adding to 1010001012012 its reverse (2102101000101), we get a palindrome (3112102012113).

The spelling of 1010001012012 in words is "one trillion, ten billion, one million, twelve thousand, twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 1650328451 3300656902 4950985353 6601313804 9901970706 14852956059 19803941412 28055583667 29705912118 56111167334 59411824236 84166751001 112222334668 168333502002 252500253003 336667004004 505000506006 1010001012012