Search a number
-
+
131501000355340 = 225711194494224209
BaseRepresentation
bin11101111001100101110110…
…011010011110111000001100
3122020121101001210222202001011
4131321211312122132320030
5114214003022042332330
61143402420420455004
736461430243211060
oct3571456632367014
9566541053882034
10131501000355340
113899a296527370
12128b9936b4a464
13584b650001615
14246897a629aa0
15103099969482a
hex77997669ee0c

131501000355340 has 96 divisors (see below), whose sum is σ = 362414240294400. Its totient is φ = 38830097157120.

The previous prime is 131501000355317. The next prime is 131501000355421. The reversal of 131501000355340 is 43553000105131.

131501000355340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 2247082845 + ... + 2247141364.

It is an arithmetic number, because the mean of its divisors is an integer number (3775148336400).

Almost surely, 2131501000355340 is an apocalyptic number.

131501000355340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131501000355340 is an abundant number, since it is smaller than the sum of its proper divisors (230913239939060).

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

131501000355340 is a wasteful number, since it uses less digits than its factorization.

131501000355340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4494224255 (or 4494224253 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 31.

The spelling of 131501000355340 in words is "one hundred thirty-one trillion, five hundred one billion, three hundred fifty-five thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 11 14 19 20 22 28 35 38 44 55 70 76 77 95 110 133 140 154 190 209 220 266 308 380 385 418 532 665 770 836 1045 1330 1463 1540 2090 2660 2926 4180 5852 7315 14630 29260 4494224209 8988448418 17976896836 22471121045 31459569463 44942242090 49436466299 62919138926 85390259971 89884484180 98872932598 125838277852 157297847315 170780519942 197745865196 247182331495 314595694630 341561039884 346055264093 426951299855 494364662990 597731819797 629191389260 692110528186 853902599710 939292859681 988729325980 1195463639594 1384221056372 1707805199420 1730276320465 1878585719362 2390927279188 2988659098985 3460552640930 3757171438724 4696464298405 5977318197970 6575050017767 6921105281860 9392928596810 11954636395940 13150100035534 18785857193620 26300200071068 32875250088835 65750500177670 131501000355340