Search a number
-
+
301323000020 = 225724712295323
BaseRepresentation
bin1000110001010000100…
…00000001100011010100
31001210202201101101120212
410120220100001203110
514414102142000040
6350231553344552
730525031145300
oct4305020014324
91053681341525
10301323000020
11106876a83849
124a494568158
1322550c5a663
1410826b2cd00
157c888e3d65
hex46284018d4

301323000020 has 144 divisors (see below), whose sum is σ = 752503530240. Its totient is φ = 101011389696.

The previous prime is 301322999987. The next prime is 301323000071. The reversal of 301323000020 is 20000323103.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 301322999959 and 301323000004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56605079 + ... + 56610401.

It is an arithmetic number, because the mean of its divisors is an integer number (5225718960).

Almost surely, 2301323000020 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 301323000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376251765120).

301323000020 is an abundant number, since it is smaller than the sum of its proper divisors (451180530220).

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

301323000020 is a wasteful number, since it uses less digits than its factorization.

301323000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6622 (or 6613 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

Adding to 301323000020 its reverse (20000323103), we get a palindrome (321323323123).

The spelling of 301323000020 in words is "three hundred one billion, three hundred twenty-three million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 7 10 14 20 28 35 47 49 70 94 98 140 188 196 235 245 329 470 490 658 940 980 1229 1316 1645 2303 2458 3290 4606 4916 5323 6145 6580 8603 9212 10646 11515 12290 17206 21292 23030 24580 26615 34412 37261 43015 46060 53230 57763 60221 74522 86030 106460 115526 120442 149044 172060 186305 231052 240884 250181 260827 288815 301105 372610 404341 500362 521654 577630 602210 745220 808682 1000724 1043308 1155260 1204420 1250905 1304135 1617364 1751267 2021705 2501810 2608270 2830387 3502534 4043410 5003620 5216540 5660774 6541967 7005068 8086820 8756335 11321548 12258869 13083934 14151935 17512670 24517738 26167868 28303870 32709835 35025340 45793769 49035476 56607740 61294345 65419670 91587538 122588690 130839340 183175076 228968845 245177380 307472449 320556383 457937690 614944898 641112766 915875380 1229889796 1282225532 1537362245 1602781915 2152307143 3074724490 3205563830 4304614286 6149448980 6411127660 8609228572 10761535715 15066150001 21523071430 30132300002 43046142860 60264600004 75330750005 150661500010 301323000020