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1010210010012 = 2233717383320507
BaseRepresentation
bin11101011001101010011…
…01010111001110011100
310120120112021100200012000
432230311031113032130
5113022402230310022
62052030054242300
7132661642256040
oct16546515271634
93516467320160
101010210010012
1135a47823a5a5
12143951356390
1374354636598
1436c74436020
151b427ca96ac
hexeb3535739c

1010210010012 has 192 divisors, whose sum is σ = 3170267735040. Its totient is φ = 271568996352.

The previous prime is 1010210010011. The next prime is 1010210010053. The reversal of 1010210010012 is 2100100120101.

It is a happy number.

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 = 1010210009976 and 1010210010003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010210010011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49251463 + ... + 49271969.

It is an arithmetic number, because the mean of its divisors is an integer number (16511811120).

Almost surely, 21010210010012 is an apocalyptic number.

1010210010012 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 1010210010012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1585133867520).

1010210010012 is an abundant number, since it is smaller than the sum of its proper divisors (2160057725028).

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

1010210010012 is a wasteful number, since it uses less digits than its factorization.

1010210010012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24377 (or 24369 counting only the distinct ones).

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

Adding to 1010210010012 its reverse (2100100120101), we get a palindrome (3110310130113).

The spelling of 1010210010012 in words is "one trillion, ten billion, two hundred ten million, ten thousand, twelve".