Search a number
-
+
30021022201120 = 2558832083102013
BaseRepresentation
bin1101101001101110100000…
…10111010011010100100000
310221021222111122200020001121
412310313100113103110200
512413331023140413440
6143503244525542024
76215642626221256
oct664672027232440
9127258448606047
1030021022201120
119624931427995
12344a337714914
131399c7c828302
1475b04d31c5d6
15370db065e34a
hex1b4dd05d3520

30021022201120 has 96 divisors (see below), whose sum is σ = 71039771554752. Its totient is φ = 11988933368832.

The previous prime is 30021022201069. The next prime is 30021022201141. The reversal of 30021022201120 is 2110222012003.

It is a happy number.

It is a super-3 number, since 3×300210222011203 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 30021022201094 and 30021022201103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 294235234 + ... + 294337246.

It is an arithmetic number, because the mean of its divisors is an integer number (739997620362).

Almost surely, 230021022201120 is an apocalyptic number.

It is an amenable number.

30021022201120 is an abundant number, since it is smaller than the sum of its proper divisors (41018749353632).

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

30021022201120 is a wasteful number, since it uses less digits than its factorization.

30021022201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104994 (or 104986 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 30021022201120 its reverse (2110222012003), we get a palindrome (32131244213123).

The spelling of 30021022201120 in words is "thirty trillion, twenty-one billion, twenty-two million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 883 1766 2083 3532 4166 4415 7064 8332 8830 10415 14128 16664 17660 20830 28256 33328 35320 41660 66656 70640 83320 102013 141280 166640 204026 333280 408052 510065 816104 1020130 1632208 1839289 2040260 3264416 3678578 4080520 7357156 8161040 9196445 14714312 16322080 18392890 29428624 36785780 58857248 73571560 90077479 147143120 180154958 212493079 294286240 360309916 424986158 450387395 720619832 849972316 900774790 1062465395 1441239664 1699944632 1801549580 2124930790 2882479328 3399889264 3603099160 4249861580 6799778528 7206198320 8499723160 14412396640 16999446320 33998892640 187631388757 375262777514 750525555028 938156943785 1501051110056 1876313887570 3002102220112 3752627775140 6004204440224 7505255550280 15010511100560 30021022201120