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1010011101012 = 22351039106071
BaseRepresentation
bin11101011001010010101…
…10100101011101010100
310120120000102002001100000
432230221112211131110
5113022000320213022
62051554231051300
7132654005464314
oct16545126453524
93516012061300
101010011101012
1135a385a322a1
121438b6810b30
1374322371a54
1436c55c59444
151b4155b86ac
hexeb295a5754

1010011101012 has 36 divisors (see below), whose sum is σ = 2647642271456. Its totient is φ = 336670366680.

The previous prime is 1010011101007. The next prime is 1010011101017. The reversal of 1010011101012 is 2101011100101.

It is an interprime number because it is at equal distance from previous prime (1010011101007) and next prime (1010011101017).

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 = 1010011100985 and 1010011101003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010011101017) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 519552064 + ... + 519554007.

Almost surely, 21010011101012 is an apocalyptic number.

1010011101012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1010011101012 is an abundant number, since it is smaller than the sum of its proper divisors (1637631170444).

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

1010011101012 is a wasteful number, since it uses less digits than its factorization.

1010011101012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039106090 (or 1039106076 counting only the distinct ones).

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

Adding to 1010011101012 its reverse (2101011100101), we get a palindrome (3111022201113).

The spelling of 1010011101012 in words is "one trillion, ten billion, eleven million, one hundred one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 1039106071 2078212142 3117318213 4156424284 6234636426 9351954639 12469272852 18703909278 28055863917 37407818556 56111727834 84167591751 112223455668 168335183502 252502775253 336670367004 505005550506 1010011101012