Search a number
-
+
131108350220 = 225311514493119
BaseRepresentation
bin111101000011010101…
…0101010100100001100
3110112102011111021021222
41322012222222210030
54122002214201340
6140121430542512
712320662406051
oct1720652524414
9415364437258
10131108350220
115066a278051
12214abb07a38
13c4956ba173
1464ba77d028
1536252e88b5
hex1e86aaa90c

131108350220 has 96 divisors (see below), whose sum is σ = 286820352000. Its totient is φ = 50287104000.

The previous prime is 131108350213. The next prime is 131108350271. The reversal of 131108350220 is 22053801131.

It is a self number, because there is not a number n which added to its sum of digits gives 131108350220.

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 31 ways as a sum of consecutive naturals, for example, 42033821 + ... + 42036939.

It is an arithmetic number, because the mean of its divisors is an integer number (2987712000).

Almost surely, 2131108350220 is an apocalyptic number.

131108350220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131108350220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143410176000).

131108350220 is an abundant number, since it is smaller than the sum of its proper divisors (155712001780).

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

131108350220 is a wasteful number, since it uses less digits than its factorization.

131108350220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3759 (or 3757 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The spelling of 131108350220 in words is "one hundred thirty-one billion, one hundred eight million, three hundred fifty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 124 151 155 302 310 449 604 620 755 898 1510 1796 2245 3020 3119 4490 4681 6238 8980 9362 12476 13919 15595 18724 23405 27838 31190 46810 55676 62380 67799 69595 93620 96689 135598 139190 193378 271196 278380 338995 386756 470969 483445 677990 941938 966890 1355980 1400431 1883876 1933780 2101769 2354845 2800862 4203538 4709690 5601724 7002155 8407076 9419380 10508845 14004310 14600039 21017690 28008620 29200078 42035380 43413361 58400156 73000195 86826722 146000390 173653444 211465081 217066805 292000780 422930162 434133610 845860324 868267220 1057325405 2114650810 4229301620 6555417511 13110835022 26221670044 32777087555 65554175110 131108350220