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10210001110001 = 71110113110021723
BaseRepresentation
bin1001010010010011001101…
…1111010100001111110001
31100011001210112100222002022
42110210303133110033301
52314240040241010001
633414224301401225
72102435226335360
oct224446337241761
940131715328068
1010210001110001
1132870454a8190
12118a924869215
13590a50463164
142742495817d7
1512a8bb3e411b
hex949337d43f1

10210001110001 has 32 divisors (see below), whose sum is σ = 12953519225856. Its totient is φ = 7816943160000.

The previous prime is 10210001109977. The next prime is 10210001110051. The reversal of 10210001110001 is 10001110001201.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10210001110001 - 234 = 10192821240817 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10210001110051) 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 31 ways as a sum of consecutive naturals, for example, 3992075 + ... + 6029648.

It is an arithmetic number, because the mean of its divisors is an integer number (404797475808).

Almost surely, 210210001110001 is an apocalyptic number.

10210001110001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10210001110001 is a deficient number, since it is larger than the sum of its proper divisors (2743518115855).

10210001110001 is a wasteful number, since it uses less digits than its factorization.

10210001110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10021973.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10210001110001 its reverse (10001110001201), we get a palindrome (20211111111202).

The spelling of 10210001110001 in words is "ten trillion, two hundred ten billion, one million, one hundred ten thousand, one".

Divisors: 1 7 11 77 101 131 707 917 1111 1441 7777 10087 13231 92617 145541 1018787 10021723 70152061 110238953 771672671 1012194023 1312845713 7085358161 9189919991 11134134253 14441302843 77938939771 101089119901 132597417013 928181919091 1458571587143 10210001110001