Search a number
-
+
3033203230120 = 235749157138639
BaseRepresentation
bin101100001000111001000…
…000000100010110101000
3101201222020011000010110211
4230020321000010112220
5344144000011330440
610241233451550504
7432066414025210
oct54107100042650
911658204003424
103033203230120
11a6a413169a28
1240ba3175b434
13190050724b2b
14a6b4492b240
1553d796a7eea
hex2c2390045a8

3033203230120 has 128 divisors (see below), whose sum is σ = 7829440819200. Its totient is φ = 1035992966400.

The previous prime is 3033203230051. The next prime is 3033203230147. The reversal of 3033203230120 is 210323023303.

It is a junction number, because it is equal to n+sod(n) for n = 3033203230091 and 3033203230100.

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, 78481761 + ... + 78520399.

It is an arithmetic number, because the mean of its divisors is an integer number (61167506400).

Almost surely, 23033203230120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3033203230120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3914720409600).

3033203230120 is an abundant number, since it is smaller than the sum of its proper divisors (4796237589080).

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

3033203230120 is a wasteful number, since it uses less digits than its factorization.

3033203230120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39719 (or 39715 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 22.

Adding to 3033203230120 its reverse (210323023303), we get a palindrome (3243526253423).

The spelling of 3033203230120 in words is "three trillion, thirty-three billion, two hundred three million, two hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 491 571 982 1142 1964 2284 2455 2855 3437 3928 3997 4568 4910 5710 6874 7994 9820 11420 13748 15988 17185 19640 19985 22840 27496 31976 34370 38639 39970 68740 77278 79940 137480 154556 159880 193195 270473 280361 309112 386390 540946 560722 772780 1081892 1121444 1352365 1401805 1545560 1962527 2163784 2242888 2704730 2803610 3925054 5409460 5607220 7850108 9812635 10818920 11214440 15700216 18971749 19625270 22062869 37943498 39250540 44125738 75886996 78501080 88251476 94858745 110314345 132802243 151773992 154440083 176502952 189717490 220628690 265604486 308880166 379434980 441257380 531208972 617760332 664011215 758869960 772200415 882514760 1062417944 1235520664 1328022430 1544400830 2656044860 3088801660 5312089720 6177603320 10832868679 21665737358 43331474716 54164343395 75830080753 86662949432 108328686790 151660161506 216657373580 303320323012 379150403765 433314747160 606640646024 758300807530 1516601615060 3033203230120