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10211022000041 = 257293135602741
BaseRepresentation
bin1001010010010111000001…
…0101101100111110101001
31100011011102200100112221112
42110211300111230332221
52314244133113000131
633414513450520105
72102502433633232
oct224456025547651
940134380315845
1010211022000041
113287519799a65
12118ab6a736035
13590b83b058c5
14274304daa089
1512a92ad5002b
hex9497056cfa9

10211022000041 has 8 divisors (see below), whose sum is σ = 10285739186184. Its totient is φ = 10136576020480.

The previous prime is 10211021999999. The next prime is 10211022000061. The reversal of 10211022000041 is 14000022011201.

It is a happy number.

10211022000041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9449346892441 + 761675107600 = 3073979^2 + 872740^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10211022000041 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10211022000061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67726070 + ... + 67876671.

It is an arithmetic number, because the mean of its divisors is an integer number (1285717398273).

Almost surely, 210211022000041 is an apocalyptic number.

It is an amenable number.

10211022000041 is a deficient number, since it is larger than the sum of its proper divisors (74717186143).

10211022000041 is a wasteful number, since it uses less digits than its factorization.

10211022000041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135603291.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10211022000041 its reverse (14000022011201), we get a palindrome (24211044011242).

The spelling of 10211022000041 in words is "ten trillion, two hundred eleven billion, twenty-two million, forty-one", and thus it is an aban number.

Divisors: 1 257 293 75301 135602741 34849904437 39731603113 10211022000041