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101001120211211 = 111941102643114833
BaseRepresentation
bin10110111101110000100111…
…111001000110000100001011
3111020121121112201121120122212
4112331300213321012010023
5101214300243233224321
6554451135111135335
730163042625423213
oct2675604771060413
9436547481546585
10101001120211211
112a2003752a1360
12b3b283a97454b
13444849851aa4c
141ad26a1d39243
15ba240e56055b
hex5bdc27e4610b

101001120211211 has 32 divisors (see below), whose sum is σ = 118813172647680. Its totient is φ = 84863420236800.

The previous prime is 101001120211183. The next prime is 101001120211217. The reversal of 101001120211211 is 112112021100101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101001120211211 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101001120211217) 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, 879490451 + ... + 879605283.

It is an arithmetic number, because the mean of its divisors is an integer number (3712911645240).

Almost surely, 2101001120211211 is an apocalyptic number.

101001120211211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101001120211211 is a deficient number, since it is larger than the sum of its proper divisors (17812052436469).

101001120211211 is a wasteful number, since it uses less digits than its factorization.

101001120211211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217547.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 101001120211211 its reverse (112112021100101), we get a palindrome (213113141311312).

The spelling of 101001120211211 in words is "one hundred one trillion, one billion, one hundred twenty million, two hundred eleven thousand, two hundred eleven".

Divisors: 1 11 19 41 209 451 779 8569 102643 114833 1129073 1263163 1950217 2181827 4208363 4708153 21452387 24000097 46291993 51789683 79958897 89454907 879547867 984003977 11786803619 129654839809 223949268761 483258948379 2463441956371 5315848432169 9181920019201 101001120211211