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301204221340 = 2251129233202621
BaseRepresentation
bin1000110001000010010…
…10111010110110011100
31001210110102212210212111
410120201022322312130
514413331240040330
6350212111443404
730522056431621
oct4304112726634
91053412783774
10301204221340
11106815a26650
124a460826564
1322532470609
1410815050348
157c7d28032a
hex46212bad9c

301204221340 has 96 divisors (see below), whose sum is σ = 716892845760. Its totient is φ = 105297561600.

The previous prime is 301204221323. The next prime is 301204221389. The reversal of 301204221340 is 43122402103.

It is a super-2 number, since 2×3012042213402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1385230 + ... + 1587850.

It is an arithmetic number, because the mean of its divisors is an integer number (7467633810).

Almost surely, 2301204221340 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 301204221340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358446422880).

301204221340 is an abundant number, since it is smaller than the sum of its proper divisors (415688624420).

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

301204221340 is a wasteful number, since it uses less digits than its factorization.

301204221340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202903 (or 202901 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 301204221340 its reverse (43122402103), we get a palindrome (344326623443).

The spelling of 301204221340 in words is "three hundred one billion, two hundred four million, two hundred twenty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 220 233 290 319 466 580 638 932 1165 1276 1595 2330 2563 3190 4660 5126 6380 6757 10252 12815 13514 25630 27028 33785 51260 67570 74327 135140 148654 202621 297308 371635 405242 743270 810484 1013105 1486540 2026210 2228831 4052420 4457662 5876009 8915324 11144155 11752018 22288310 23504036 29380045 44576620 47210693 58760090 64636099 94421386 117520180 129272198 188842772 236053465 258544396 323180495 472106930 519317623 646360990 944213860 1038635246 1292721980 1369110097 2077270492 2596588115 2738220194 5193176230 5476440388 6845550485 10386352460 13691100970 15060211067 27382201940 30120422134 60240844268 75301055335 150602110670 301204221340