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301022000004 = 22311343210193
BaseRepresentation
bin1000110000101100100…
…11110011001110000100
31001202222202000000012010
410120112103303032010
514412443113000004
6350142042054220
730514414532235
oct4302623631604
91052882000163
10301022000004
11106732087000
124a40b7aa370
132250379c63b
14107d8b7908c
157c6c288a89
hex46164f3384

301022000004 has 144 divisors (see below), whose sum is σ = 791032544064. Its totient is φ = 89088679680.

The previous prime is 301021999997. The next prime is 301022000093. The reversal of 301022000004 is 400000220103.

It is a super-2 number, since 2×3010220000042 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29527132 + ... + 29537324.

It is an arithmetic number, because the mean of its divisors is an integer number (5493281556).

Almost surely, 2301022000004 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 301022000004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395516272032).

301022000004 is an abundant number, since it is smaller than the sum of its proper divisors (490010544060).

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

301022000004 is a wasteful number, since it uses less digits than its factorization.

301022000004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10319 (or 10252 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 301022000004 its reverse (400000220103), we get a palindrome (701022220107).

The spelling of 301022000004 in words is "three hundred one billion, twenty-two million, four", and thus it is an aban number.

Divisors: 1 2 3 4 6 11 12 22 33 43 44 66 86 121 129 132 172 242 258 363 473 484 516 726 946 1331 1419 1452 1849 1892 2662 2838 3698 3993 5203 5324 5547 5676 7396 7986 10193 10406 11094 15609 15972 20339 20386 20812 22188 30579 31218 40678 40772 57233 61017 61158 62436 81356 112123 114466 122034 122316 171699 223729 224246 228932 244068 336369 343398 438299 447458 448492 671187 672738 686796 876598 894916 1233353 1314897 1342374 1345476 1753196 2461019 2466706 2629794 2684748 3700059 4821289 4922038 4933412 5259588 7383057 7400118 9642578 9844076 13566883 14463867 14766114 14800236 18846857 19285156 27133766 28927734 29532228 37693714 40700649 53034179 54267532 56540571 57855468 75387428 81401298 106068358 113081142 159102537 162802596 207315427 212136716 226162284 318205074 414630854 583375969 621946281 636410148 829261708 1166751938 1243892562 1750127907 2280469697 2333503876 2487785124 3500255814 4560939394 6841409091 7000511628 9121878788 13682818182 25085166667 27365636364 50170333334 75255500001 100340666668 150511000002 301022000004