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1011010002012 = 2232131921291593
BaseRepresentation
bin11101011011001001110…
…01000101110001011100
310120122121000200110220100
432231210321011301130
5113031022030031022
62052241313021100
7133020525140163
oct16554471056134
93518530613810
101011010002012
1135a84887540a
12143b35254790
13744512b592a
1436d0c79c3da
151b47312e1ac
hexeb64e45c5c

1011010002012 has 36 divisors (see below), whose sum is σ = 2557546271280. Its totient is φ = 336747819072.

The previous prime is 1011010002011. The next prime is 1011010002061. The reversal of 1011010002012 is 2102000101101.

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 = 1011010001985 and 1011010002003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011010002011) 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, 10598313 + ... + 10693280.

It is an arithmetic number, because the mean of its divisors is an integer number (71042951980).

Almost surely, 21011010002012 is an apocalyptic number.

1011010002012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1011010002012 is an abundant number, since it is smaller than the sum of its proper divisors (1546536269268).

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

1011010002012 is a wasteful number, since it uses less digits than its factorization.

1011010002012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21292922 (or 21292917 counting only the distinct ones).

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

Adding to 1011010002012 its reverse (2102000101101), we get a palindrome (3113010103113).

The spelling of 1011010002012 in words is "one trillion, eleven billion, ten million, two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 1319 2638 3957 5276 7914 11871 15828 23742 47484 21291593 42583186 63874779 85166372 127749558 191624337 255499116 383248674 766497348 28083611167 56167222334 84250833501 112334444668 168501667002 252752500503 337003334004 505505001006 1011010002012