Search a number
-
+
30120312031120 = 2452775092670373
BaseRepresentation
bin1101101100100111011100…
…11111111100011110010000
310221122110210100000012012201
412312103232133330132100
512421442344334443440
6144021025203332544
76226056260650303
oct666235637743620
9127573710005181
1030120312031120
119662a529a7833
123465627681154
1313a64441775cc
14761b8bd18b3a
1537377236819a
hex1b64ee7fc790

30120312031120 has 80 divisors (see below), whose sum is σ = 70420646383920. Its totient is φ = 11981040556032.

The previous prime is 30120312031079. The next prime is 30120312031123. The reversal of 30120312031120 is 2113021302103.

It can be written as a sum of positive squares in 8 ways, for example, as 6199761364624 + 23920550666496 = 2489932^2 + 4890864^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (30120312031123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9944254 + ... + 12614626.

It is an arithmetic number, because the mean of its divisors is an integer number (880258079799).

Almost surely, 230120312031120 is an apocalyptic number.

It is an amenable number.

30120312031120 is an abundant number, since it is smaller than the sum of its proper divisors (40300334352800).

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

30120312031120 is a wasteful number, since it uses less digits than its factorization.

30120312031120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2671172 (or 2671166 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 30120312031120 its reverse (2113021302103), we get a palindrome (32233333333223).

The spelling of 30120312031120 in words is "thirty trillion, one hundred twenty billion, three hundred twelve million, thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 277 509 554 1018 1108 1385 2036 2216 2545 2770 4072 4432 5090 5540 8144 10180 11080 20360 22160 40720 140993 281986 563972 704965 1127944 1409930 2255888 2670373 2819860 5340746 5639720 10681492 11279440 13351865 21362984 26703730 42725968 53407460 106814920 213629840 739693321 1359219857 1479386642 2718439714 2958773284 3698466605 5436879428 5917546568 6796099285 7396933210 10873758856 11835093136 13592198570 14793866420 21747517712 27184397140 29587732840 54368794280 59175465680 108737588560 376503900389 753007800778 1506015601556 1882519501945 3012031203112 3765039003890 6024062406224 7530078007780 15060156015560 30120312031120