Search a number
-
+
3020030322320 = 2451110156360353
BaseRepresentation
bin101011111100100111110…
…101011010011010010000
3101200201020002212002002202
4223330213311122122100
5343440010230303240
610231214402502332
7431122111121204
oct53744765323220
911621202762082
103020030322320
11a64873426370
124093760649a8
1318ba3159342b
14a6255232b04
1553857e9e315
hex2bf27d5a690

3020030322320 has 160 divisors (see below), whose sum is σ = 7749604243584. Its totient is φ = 1085370368000.

The previous prime is 3020030322293. The next prime is 3020030322329. The reversal of 3020030322320 is 232230300203.

It is a super-3 number, since 3×30200303223203 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3020030322292 and 3020030322301.

It is not an unprimeable number, because it can be changed into a prime (3020030322329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50009264 + ... + 50069616.

Almost surely, 23020030322320 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 3020030322320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3874802121792).

3020030322320 is an abundant number, since it is smaller than the sum of its proper divisors (4729573921264).

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

3020030322320 is a wasteful number, since it uses less digits than its factorization.

3020030322320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61041 (or 61035 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

Adding to 3020030322320 its reverse (232230300203), we get a palindrome (3252260622523).

The spelling of 3020030322320 in words is "three trillion, twenty billion, thirty million, three hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 101 110 176 202 220 404 440 505 563 808 880 1010 1111 1126 1616 2020 2222 2252 2815 4040 4444 4504 5555 5630 6193 8080 8888 9008 11110 11260 12386 17776 22220 22520 24772 30965 44440 45040 49544 56863 60353 61930 88880 99088 113726 120706 123860 227452 241412 247720 284315 301765 454904 482824 495440 568630 603530 625493 663883 909808 965648 1137260 1207060 1250986 1327766 2274520 2414120 2501972 2655532 3127465 3319415 4549040 4828240 5003944 5311064 6095653 6254930 6638830 10007888 10622128 12191306 12509860 13277660 24382612 25019720 26555320 30478265 33978739 48765224 50039440 53110640 60956530 67052183 67957478 97530448 121913060 134104366 135914956 169893695 243826120 268208732 271829912 335260915 339787390 373766129 487652240 536417464 543659824 670521830 679574780 747532258 1072834928 1341043660 1359149560 1495064516 1868830645 2682087320 2718299120 2990129032 3431852639 3737661290 5364174640 5980258064 6863705278 7475322580 13727410556 14950645160 17159263195 27454821112 29901290320 34318526390 37750379029 54909642224 68637052780 75500758058 137274105560 151001516116 188751895145 274548211120 302003032232 377503790290 604006064464 755007580580 1510015161160 3020030322320