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10211111001201 = 3114334991432091
BaseRepresentation
bin1001010010010111010110…
…1001001101110001110001
31100011011122212211021120210
42110211311221031301301
52314244323404014301
633414530350254333
72102504564265645
oct224456551156161
940134585737523
1010211111001201
113287564a58940
12118ab944b73a9
13590b99398006
14274312b36c25
1512a933a80ad6
hex94975a4dc71

10211111001201 has 32 divisors (see below), whose sum is σ = 14916670272000. Its totient is φ = 6161882284800.

The previous prime is 10211111001149. The next prime is 10211111001227. The reversal of 10211111001201 is 10210011111201.

10211111001201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10211111001201 - 27 = 10211111001073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10211111001701) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6414166 + ... + 7846256.

It is an arithmetic number, because the mean of its divisors is an integer number (466145946000).

Almost surely, 210211111001201 is an apocalyptic number.

10211111001201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10211111001201 is a deficient number, since it is larger than the sum of its proper divisors (4705559270799).

10211111001201 is a wasteful number, since it uses less digits than its factorization.

10211111001201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1433037.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 10211111001201 its reverse (10210011111201), we get a palindrome (20421122112402).

The spelling of 10211111001201 in words is "ten trillion, two hundred eleven billion, one hundred eleven million, one thousand, two hundred one".

Divisors: 1 3 11 33 433 499 1299 1497 4763 5489 14289 16467 216067 648201 1432091 2376737 4296273 7130211 15753001 47259003 620095403 714613409 1860286209 2143840227 6821049433 7860747499 20463148299 23582242497 309427606097 928282818291 3403703667067 10211111001201