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305044220130 = 235134119879601
BaseRepresentation
bin1000111000001100000…
…11010110100011100010
31002011101001111221220220
410130012003112203202
514444212310021010
6352045124143510
731016165042436
oct4340603264342
91064331457826
10305044220130
11108406567571
124b152837b96
13229c4ba0b50
1410a9b0349c6
157e0544c970
hex47060d68e2

305044220130 has 128 divisors (see below), whose sum is σ = 808142420736. Its totient is φ = 73211904000.

The previous prime is 305044220093. The next prime is 305044220137. The reversal of 305044220130 is 31022440503.

It is a self number, because there is not a number n which added to its sum of digits gives 305044220130.

It is not an unprimeable number, because it can be changed into a prime (305044220137) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31767330 + ... + 31776930.

It is an arithmetic number, because the mean of its divisors is an integer number (6313612662).

Almost surely, 2305044220130 is an apocalyptic number.

305044220130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 305044220130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404071210368).

305044220130 is an abundant number, since it is smaller than the sum of its proper divisors (503098200606).

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

305044220130 is a wasteful number, since it uses less digits than its factorization.

305044220130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11652.

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 305044220130 its reverse (31022440503), we get a palindrome (336066660633).

The spelling of 305044220130 in words is "three hundred five billion, forty-four million, two hundred twenty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 41 65 78 82 123 130 195 205 246 390 410 533 615 1066 1230 1599 1987 2665 3198 3974 5330 5961 7995 9601 9935 11922 15990 19202 19870 25831 28803 29805 48005 51662 57606 59610 77493 81467 96010 124813 129155 144015 154986 162934 244401 249626 258310 288030 374439 387465 393641 407335 488802 624065 748878 774930 787282 814670 1059071 1180923 1222005 1248130 1872195 1968205 2118142 2361846 2444010 3177213 3744390 3936410 5117333 5295355 5904615 6354426 10234666 10590710 11809230 15351999 15886065 19077187 25586665 30703998 31772130 38154374 51173330 57231561 76759995 95385935 114463122 153519990 190771870 248003431 286157805 496006862 572315610 744010293 782164667 1240017155 1488020586 1564329334 2346494001 2480034310 3720051465 3910823335 4692988002 7440102930 7821646670 10168140671 11732470005 20336281342 23464940010 30504422013 50840703355 61008844026 101681406710 152522110065 305044220130