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10211000120211 = 31117914503119191
BaseRepresentation
bin1001010010010110111100…
…0010001111001110010011
31100011011101011011221110110
42110211233002033032103
52314244112012321321
633414511345532403
72102502046644522
oct224455702171623
940134334157413
1010211000120211
113287508405360
12118ab63344103
13590b7c414967
142743021124b9
1512a928e7c176
hex9496f08f393

10211000120211 has 32 divisors (see below), whose sum is σ = 14936493035520. Its totient is φ = 6153436432800.

The previous prime is 10211000120081. The next prime is 10211000120213. The reversal of 10211000120211 is 11202100011201.

10211000120211 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 10211000120211 - 218 = 10210999858067 is a prime.

It is a super-3 number, since 3×102110001202113 (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10211000120213) 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, 85609626 + ... + 85728816.

It is an arithmetic number, because the mean of its divisors is an integer number (466765407360).

Almost surely, 210211000120211 is an apocalyptic number.

10211000120211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10211000120211 is a deficient number, since it is larger than the sum of its proper divisors (4725492915309).

10211000120211 is a wasteful number, since it uses less digits than its factorization.

10211000120211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133887.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10211000120211 its reverse (11202100011201), we get a palindrome (21413100131412).

The spelling of 10211000120211 in words is "ten trillion, two hundred eleven billion, one hundred twenty thousand, two hundred eleven".

Divisors: 1 3 11 33 179 537 1969 5907 14503 43509 119191 159533 357573 478599 1311101 2596037 3933303 7788111 21335189 28556407 64005567 85669221 234687079 704061237 1728627073 5185881219 19014897803 57044693409 309424246067 928272738201 3403666706737 10211000120211