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1010001111012 = 223319148962629
BaseRepresentation
bin11101011001010001100…
…00011110011111100100
310120112222201021111122000
432230220300132133210
5113021440241023022
62051553233005300
7132653524536045
oct16545060363744
93515881244560
101010001111012
1135a3803296a3
121438b33b3830
13743202848ca
1436c547b88cc
151b4147936ac
hexeb28c1e7e4

1010001111012 has 48 divisors (see below), whose sum is σ = 2632230988800. Its totient is φ = 334904375520.

The previous prime is 1010001111001. The next prime is 1010001111013. The reversal of 1010001111012 is 2101111000101.

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 = 1010001110985 and 1010001111003.

It is not an unprimeable number, because it can be changed into a prime (1010001111013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24460687 + ... + 24501942.

It is an arithmetic number, because the mean of its divisors is an integer number (54838145600).

Almost surely, 21010001111012 is an apocalyptic number.

1010001111012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1010001111012 is an abundant number, since it is smaller than the sum of its proper divisors (1622229877788).

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

1010001111012 is a wasteful number, since it uses less digits than its factorization.

1010001111012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48962833 (or 48962825 counting only the distinct ones).

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

Adding to 1010001111012 its reverse (2101111000101), we get a palindrome (3111112111113).

The spelling of 1010001111012 in words is "one trillion, ten billion, one million, one hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 191 382 573 764 1146 1719 2292 3438 5157 6876 10314 20628 48962629 97925258 146887887 195850516 293775774 440663661 587551548 881327322 1321990983 1762654644 2643981966 5287963932 9351862139 18703724278 28055586417 37407448556 56111172834 84166759251 112222345668 168333518502 252500277753 336667037004 505000555506 1010001111012