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3022030201300 = 225211113238110211
BaseRepresentation
bin101011111110011111000…
…010010110000111010100
3101200220101110222110022121
4223332133002112013110
5344003104212420200
610232145043105324
7431222503610155
oct53763702260724
911626343873277
103022030201300
11a656aa2a0010
12409833972244
1318bc8c9c7686
14a63a4a9992c
155392383ae1a
hex2bf9f0961d4

3022030201300 has 144 divisors (see below), whose sum is σ = 7221017450304. Its totient is φ = 1088631040000.

The previous prime is 3022030201297. The next prime is 3022030201301. The reversal of 3022030201300 is 31020302203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3022030201301) 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 47 ways as a sum of consecutive naturals, for example, 295953195 + ... + 295963405.

It is an arithmetic number, because the mean of its divisors is an integer number (50145954516).

Almost surely, 23022030201300 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 3022030201300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3610508725152).

3022030201300 is an abundant number, since it is smaller than the sum of its proper divisors (4198987249004).

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

3022030201300 is a wasteful number, since it uses less digits than its factorization.

3022030201300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12730 (or 12723 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 3022030201300 its reverse (31020302203), we get a palindrome (3053050503503).

The spelling of 3022030201300 in words is "three trillion, twenty-two billion, thirty million, two hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 113 220 226 275 452 550 565 1100 1130 1243 2260 2381 2486 2825 4762 4972 5650 6215 9524 10211 11300 11905 12430 20422 23810 24860 26191 31075 40844 47620 51055 52382 59525 62150 102110 104764 112321 119050 124300 130955 204220 224642 238100 255275 261910 269053 449284 510550 523820 538106 561605 654775 1021100 1076212 1123210 1153843 1309550 1345265 2246420 2307686 2619100 2690530 2808025 2959583 4615372 5381060 5616050 5769215 5919166 6726325 11232100 11538430 11838332 12692273 13452650 14797915 23076860 24312391 25384546 26905300 28846075 29595830 48624782 50769092 57692150 59191660 63461365 73989575 97249564 115384300 121561955 126922730 147979150 243123910 253845460 267436301 295958300 317306825 486247820 534872602 607809775 634613650 1069745204 1215619550 1269227300 1337181505 2431239100 2674363010 2747300183 5348726020 5494600366 6685907525 10989200732 13371815050 13736500915 26743630100 27473001830 30220302013 54946003660 60440604026 68682504575 120881208052 137365009150 151101510065 274730018300 302203020130 604406040260 755507550325 1511015100650 3022030201300