Search a number
-
+
301055001140 = 2251912722927241
BaseRepresentation
bin1000110000110000100…
…01101100001000110100
31001210002001002122020102
410120120101230020310
514413030040014030
6350145221253232
730515265200405
oct4303021541064
91053061078212
10301055001140
11106749777273
124a41a864218
132250a58563a
14107dd2c99ac
157c70106c45
hex461846c234

301055001140 has 96 divisors (see below), whose sum is σ = 673683763200. Its totient is φ = 112687303680.

The previous prime is 301055001133. The next prime is 301055001199. The reversal of 301055001140 is 41100550103.

It is a super-2 number, since 2×3010550011402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 11037920 + ... + 11065160.

It is an arithmetic number, because the mean of its divisors is an integer number (7017539200).

Almost surely, 2301055001140 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 301055001140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336841881600).

301055001140 is an abundant number, since it is smaller than the sum of its proper divisors (372628762060).

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

301055001140 is a wasteful number, since it uses less digits than its factorization.

301055001140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27625 (or 27623 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

Adding to 301055001140 its reverse (41100550103), we get a palindrome (342155551243).

The spelling of 301055001140 in words is "three hundred one billion, fifty-five million, one thousand, one hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 127 190 229 254 380 458 508 635 916 1145 1270 2290 2413 2540 4351 4580 4826 8702 9652 12065 17404 21755 24130 27241 29083 43510 48260 54482 58166 87020 108964 116332 136205 145415 272410 290830 517579 544820 552577 581660 1035158 1105154 2070316 2210308 2587895 2762885 3459607 5175790 5525770 6238189 6919214 10351580 11051540 12476378 13838428 17298035 24952756 31190945 34596070 62381890 65732533 69192140 118525591 124763780 131465066 237051182 262930132 328662665 474102364 592627955 657325330 792250003 1185255910 1314650660 1584500006 2370511820 3169000012 3961250015 7922500030 15052750057 15845000060 30105500114 60211000228 75263750285 150527500570 301055001140