Search a number
-
+
111202001022020 = 225291272835334509
BaseRepresentation
bin11001010010001100111011…
…110001001110110001000100
3112120201210210122112100021012
4121102030323301032301010
5104033413144230201040
61032301254413141352
732265036151602206
oct3122147361166104
9476653718470235
10111202001022020
113248355a601797
121057b83918a858
134a083c430075c
141d662c410c776
15ccc944e13865
hex65233bc4ec44

111202001022020 has 96 divisors (see below), whose sum is σ = 244339335475200. Its totient is φ = 42458245369344.

The previous prime is 111202001022017. The next prime is 111202001022037. The reversal of 111202001022020 is 20220100202111.

It is a super-3 number, since 3×1112020010220203 (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 111202001021986 and 111202001022004.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18178526 + ... + 23513034.

It is an arithmetic number, because the mean of its divisors is an integer number (2545201411200).

Almost surely, 2111202001022020 is an apocalyptic number.

111202001022020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111202001022020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122169667737600).

111202001022020 is an abundant number, since it is smaller than the sum of its proper divisors (133137334453180).

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

111202001022020 is a wasteful number, since it uses less digits than its factorization.

111202001022020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5334957 (or 5334955 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 111202001022020 its reverse (20220100202111), we get a palindrome (131422101224131).

The spelling of 111202001022020 in words is "one hundred eleven trillion, two hundred two billion, one million, twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 116 127 145 254 283 290 508 566 580 635 1132 1270 1415 2540 2830 3683 5660 7366 8207 14732 16414 18415 32828 35941 36830 41035 71882 73660 82070 143764 164140 179705 359410 718820 1042289 2084578 4169156 5211445 5334509 10422890 10669018 20845780 21338036 26672545 53345090 106690180 154700761 309401522 618803044 677482643 773503805 1354965286 1509666047 1547007610 2709930572 3019332094 3094015220 3387413215 6038664188 6774826430 7548330235 13549652860 15096660470 19646996647 30193320940 39293993294 43780315363 78587986588 87560630726 98234983235 175121261452 191727587969 196469966470 218901576815 383455175938 392939932940 437803153630 766910351876 875606307260 958637939845 1917275879690 3834551759380 5560100051101 11120200102202 22240400204404 27800500255505 55601000511010 111202001022020