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10210012000110 = 232513231191113371
BaseRepresentation
bin1001010010010011010000…
…1000110110111101101110
31100011001211021212020111200
42110210310020312331232
52314240101033000420
633414225331030330
72102435421033066
oct224446410667556
940131737766450
1010210012000110
11328705066607a
12118a92843b3a6
13590a527a6c00
1427424abb83a6
1512a8bc345b90
hex94934236f6e

10210012000110 has 288 divisors, whose sum is σ = 29827988176896. Its totient is φ = 2419406496000.

The previous prime is 10210012000093. The next prime is 10210012000117. The reversal of 10210012000110 is 1100021001201.

It is a happy number.

10210012000110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 10210012000092 and 10210012000101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10210012000117) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 90001725 + ... + 90115095.

It is an arithmetic number, because the mean of its divisors is an integer number (103569403392).

Almost surely, 210210012000110 is an apocalyptic number.

10210012000110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10210012000110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14913994088448).

10210012000110 is an abundant number, since it is smaller than the sum of its proper divisors (19617976176786).

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

10210012000110 is a wasteful number, since it uses less digits than its factorization.

10210012000110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113632 (or 113616 counting only the distinct ones).

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

Adding to 10210012000110 its reverse (1100021001201), we get a palindrome (11310033001311).

The spelling of 10210012000110 in words is "ten trillion, two hundred ten billion, twelve million, one hundred ten", and thus it is an aban number.