Search a number
-
+
11101001020122 = 23134112232838293
BaseRepresentation
bin1010000110001010011100…
…1110001111001011011010
31110022020121211220010000110
42201202213032033023122
52423334322230120442
635335421321545150
72224010103531666
oct241424716171332
943266554803013
1011101001020122
11359a9a9745272
1212b35469451b6
13626a8743a0a0
142a541152b8a6
15143b6872769c
hexa18a738f2da

11101001020122 has 64 divisors (see below), whose sum is σ = 24513051015936. Its totient is φ = 3329657111040.

The previous prime is 11101001020121. The next prime is 11101001020129. The reversal of 11101001020122 is 22102010010111.

11101001020122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11101001020098 and 11101001020107.

It is not an unprimeable number, because it can be changed into a prime (11101001020121) 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, 2492008 + ... + 5330300.

It is an arithmetic number, because the mean of its divisors is an integer number (383016422124).

Almost surely, 211101001020122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11101001020122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12256525507968).

11101001020122 is an abundant number, since it is smaller than the sum of its proper divisors (13412049995814).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11101001020122 is a wasteful number, since it uses less digits than its factorization.

11101001020122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2839575.

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

Adding to 11101001020122 its reverse (22102010010111), we get a palindrome (33203011030233).

The spelling of 11101001020122 in words is "eleven trillion, one hundred one billion, one million, twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 13 26 39 41 78 82 123 246 533 1066 1223 1599 2446 3198 3669 7338 15899 31798 47697 50143 95394 100286 150429 300858 651859 1303718 1955577 2838293 3911154 5676586 8514879 17029758 36897809 73795618 110693427 116370013 221386854 232740026 349110039 698220078 1512810169 3025620338 3471232339 4538430507 6942464678 9076861014 10413697017 20827394034 45126020407 90252040814 135378061221 142320525899 270756122442 284641051798 426961577697 853923155394 1850166836687 3700333673374 5550500510061 11101001020122