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202011121101101 = 131923411495820769
BaseRepresentation
bin101101111011101001100001…
…000111010010100100101101
3222111021002000100210101020212
4231323221201013102210231
5202434222234000213401
61553350343342152205
760356551620524054
oct5573514107224455
9874232010711225
10202011121101101
1159404487495a84
121a7a7137882665
13889474a86ba40
1437c55674a939b
151854b8d57cdbb
hexb7ba611d292d

202011121101101 has 64 divisors (see below), whose sum is σ = 246428118720000. Its totient is φ = 163748914053120.

The previous prime is 202011121101091. The next prime is 202011121101113. The reversal of 202011121101101 is 101101121110202.

It is a cyclic number.

It is not a de Polignac number, because 202011121101101 - 218 = 202011120838957 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202011121101191) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31794845 + ... + 37615613.

It is an arithmetic number, because the mean of its divisors is an integer number (3850439355000).

Almost surely, 2202011121101101 is an apocalyptic number.

It is an amenable number.

202011121101101 is a deficient number, since it is larger than the sum of its proper divisors (44416997618899).

202011121101101 is a wasteful number, since it uses less digits than its factorization.

202011121101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5821014.

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

Adding to 202011121101101 its reverse (101101121110202), we get a palindrome (303112242211303).

The spelling of 202011121101101 in words is "two hundred two trillion, eleven billion, one hundred twenty-one million, one hundred one thousand, one hundred one".

Divisors: 1 13 19 23 41 149 247 299 437 533 779 943 1937 2831 3427 5681 6109 10127 12259 17917 36803 44551 65113 79417 116071 140507 232921 846469 1508923 1826591 2669633 5820769 34705229 75669997 110594611 133877687 238651529 867294581 1437729943 1740409931 2543676053 3102469877 4534379051 5488985167 11274829553 16478597039 19947775363 33067788689 35559077821 58946927663 71356807171 104290718173 214221761507 259321079719 379007731897 462268011673 675622478599 817858789883 1355779336249 4927100514661 8783092221787 10632164268479 15539317007777 202011121101101