Search a number
-
+
3020302030320 = 243355867238331
BaseRepresentation
bin101011111100111000000…
…001111001010111110000
3101200201221001010021102000
4223330320001321113300
5343441034304432240
610231301350254000
7431131620444621
oct53747001712760
911621831107360
103020302030320
11a649a2836633
12409431057300
1318ba759667b3
14a627d35da48
1553871c70430
hex2bf380795f0

3020302030320 has 160 divisors (see below), whose sum is σ = 10405079389440. Its totient is φ = 805273217280.

The previous prime is 3020302030313. The next prime is 3020302030331. The reversal of 3020302030320 is 230302030203.

3020302030320 is a `hidden beast` number, since 302 + 0 + 302 + 0 + 30 + 32 + 0 = 666.

It is a super-2 number, since 2×30203020303202 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3020302030293 and 3020302030302.

It is a congruent number.

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, 12553555 + ... + 12791885.

It is an arithmetic number, because the mean of its divisors is an integer number (65031746184).

Almost surely, 23020302030320 is an apocalyptic number.

3020302030320 is a gapful number since it is divisible by the number (30) 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 3020302030320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5202539694720).

3020302030320 is an abundant number, since it is smaller than the sum of its proper divisors (7384777359120).

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

3020302030320 is a wasteful number, since it uses less digits than its factorization.

3020302030320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244220 (or 244208 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

Adding to 3020302030320 its reverse (230302030203), we get a palindrome (3250604060523).

The spelling of 3020302030320 in words is "three trillion, twenty billion, three hundred two million, thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 5867 11734 17601 23468 29335 35202 46936 52803 58670 70404 88005 93872 105606 117340 140808 158409 176010 211212 234680 238331 264015 281616 316818 352020 422424 469360 476662 528030 633636 704040 714993 792045 844848 953324 1056060 1191655 1267272 1408080 1429986 1584090 1906648 2112120 2144979 2383310 2534544 2859972 3168180 3574965 3813296 4224240 4289958 4766620 5719944 6336360 6434937 7149930 8579916 9533240 10724895 11439888 12672720 12869874 14299860 17159832 19066480 21449790 25739748 28599720 32174685 34319664 42899580 51479496 57199440 64349370 85799160 102958992 128698740 171598320 257397480 514794960 1398287977 2796575954 4194863931 5593151908 6991439885 8389727862 11186303816 12584591793 13982879770 16779455724 20974319655 22372607632 25169183586 27965759540 33558911448 37753775379 41948639310 50338367172 55931519080 62922958965 67117822896 75507550758 83897278620 100676734344 111863038160 125845917930 151015101516 167794557240 188768876895 201353468688 251691835860 302030203032 335589114480 377537753790 503383671720 604060406064 755075507580 1006767343440 1510151015160 3020302030320