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3002220130312 = 23131735919332447
BaseRepresentation
bin101011101100000010010…
…000111011000000001000
3101122000020212211120200201
4223230002100323000020
5343142021323132222
610215111220341544
7426621546024154
oct53540220730010
911560225746621
103002220130312
11a58263aa5517
12405a255448b4
1318a15378c090
14a5445ad4064
15531645da427
hex2bb0243b008

3002220130312 has 128 divisors (see below), whose sum is σ = 6442615065600. Its totient is φ = 1299295162368.

The previous prime is 3002220130309. The next prime is 3002220130319. The reversal of 3002220130312 is 2130310222003.

It is a super-2 number, since 2×30022201303122 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3002220130312.

It is not an unprimeable number, because it can be changed into a prime (3002220130319) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1226897073 + ... + 1226899519.

It is an arithmetic number, because the mean of its divisors is an integer number (50332930200).

Almost surely, 23002220130312 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 3002220130312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3221307532800).

3002220130312 is an abundant number, since it is smaller than the sum of its proper divisors (3440394935288).

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

3002220130312 is a wasteful number, since it uses less digits than its factorization.

3002220130312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4775 (or 4771 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 3002220130312 its reverse (2130310222003), we get a palindrome (5132530352315).

The spelling of 3002220130312 in words is "three trillion, two billion, two hundred twenty million, one hundred thirty thousand, three hundred twelve".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 221 359 442 718 884 1436 1768 1933 2447 2872 3866 4667 4894 6103 7732 9334 9788 12206 15464 18668 19576 24412 25129 31811 32861 37336 41599 48824 50258 63622 65722 79339 83198 100516 127244 131444 158678 166396 201032 254488 262888 317356 332792 427193 540787 634712 693947 854386 878473 1081574 1387894 1708772 1756946 2163148 2775788 3417544 3513892 4326296 4730051 5551576 7027784 9021311 9460102 11420149 11797099 14934041 18042622 18920204 22840298 23594198 29868082 36085244 37840408 45680596 47188396 59736164 61490663 72170488 80410867 91361192 94376792 119472328 122981326 153362287 160821734 194142533 245962652 306724574 321643468 388285066 491925304 613449148 643286936 776570132 1045341271 1226898296 1553140264 1698088309 2090682542 3396176618 4181365084 6792353236 8362730168 13584706472 22075148017 28867501253 44150296034 57735002506 88300592068 115470005012 176601184136 230940010024 375277516289 750555032578 1501110065156 3002220130312