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111020010222121 = 72111327271676453
BaseRepresentation
bin11001001111100011011100…
…010001011011001000101001
3112120002102001101201210221221
4121033203130101123020221
5104022422440104101441
61032041515534502041
732245634230405600
oct3117433421331051
9476072041653857
10111020010222121
113241335a537140
1210550508964921
1349c41b00b3600
141d5b57bb70a37
15cc7d42a638d1
hex64f8dc45b229

111020010222121 has 72 divisors (see below), whose sum is σ = 152767232864064. Its totient is φ = 79744664039040.

The previous prime is 111020010222103. The next prime is 111020010222127. The reversal of 111020010222121 is 121222010020111.

It is not a de Polignac number, because 111020010222121 - 27 = 111020010221993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 111020010222095 and 111020010222104.

It is not an unprimeable number, because it can be changed into a prime (111020010222127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 65384931 + ... + 67061383.

It is an arithmetic number, because the mean of its divisors is an integer number (2121767123112).

Almost surely, 2111020010222121 is an apocalyptic number.

111020010222121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

111020010222121 is a deficient number, since it is larger than the sum of its proper divisors (41747222641943).

111020010222121 is a wasteful number, since it uses less digits than its factorization.

111020010222121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1677231 (or 1677211 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 111020010222121 its reverse (121222010020111), we get a palindrome (232242020242232).

The spelling of 111020010222121 in words is "one hundred eleven trillion, twenty billion, ten million, two hundred twenty-two thousand, one hundred twenty-one".

Divisors: 1 7 11 13 49 77 91 143 169 539 637 727 1001 1183 1859 5089 7007 7997 8281 9451 13013 35623 55979 66157 91091 103961 122863 391853 463099 727727 860041 1351493 1676453 5094089 6020287 9460451 11735171 18440983 21793889 66223157 82146197 129086881 152557223 239732779 283320557 903608167 1067900561 1218781331 1678129453 1983243899 3116526127 8531469317 11746906171 13406594641 13882707293 15844157303 21815682889 59720285219 93846162487 110909101121 152709780223 174285730333 205974044939 656923137409 776363707847 1220000112331 1441818314573 2265714494329 8540000786317 10092728202011 15860001460303 111020010222121