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1010012202012 = 22311197189101631
BaseRepresentation
bin11101011001010010110…
…10110010010000011100
310120120000111010222121210
432230221122302100130
5113022001110431022
62051554310424420
7132654021031242
oct16545132622034
93516014128553
101010012202012
1135a386614510
121438b7062110
1374322668c28
1436c56064792
151b415734a0c
hexeb296b241c

1010012202012 has 384 divisors, whose sum is σ = 2807123558400. Its totient is φ = 279417600000.

The previous prime is 1010012201987. The next prime is 1010012202029. The reversal of 1010012202012 is 2102022100101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 1600652937 + ... + 1600653567.

It is an arithmetic number, because the mean of its divisors is an integer number (7310217600).

Almost surely, 21010012202012 is an apocalyptic number.

1010012202012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010012202012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1403561779200).

1010012202012 is an abundant number, since it is smaller than the sum of its proper divisors (1797111356388).

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

1010012202012 is a wasteful number, since it uses less digits than its factorization.

1010012202012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929 (or 927 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1010012202012 its reverse (2102022100101), we get a palindrome (3112034302113).

The spelling of 1010012202012 in words is "one trillion, ten billion, twelve million, two hundred two thousand, twelve".