Search a number
-
+
131026322645250 = 2353237595728849
BaseRepresentation
bin11101110010101011110001…
…011010101110000100000010
3122011220222211201010122020220
4131302223301122232010002
5114133213402044122000
61142400354530043510
736412224264226464
oct3562536132560402
9564828751118226
10131026322645250
1138826a5131409a
1212841942419596
1358159630c0656
14244d9ca4c6134
151023466b971a0
hex772af16ae102

131026322645250 has 64 divisors (see below), whose sum is σ = 341260905772800. Its totient is φ = 33421206931200.

The previous prime is 131026322645249. The next prime is 131026322645299. The reversal of 131026322645250 is 52546223620131.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3797847175 + ... + 3797881674.

It is an arithmetic number, because the mean of its divisors is an integer number (5332201652700).

Almost surely, 2131026322645250 is an apocalyptic number.

131026322645250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131026322645250 is an abundant number, since it is smaller than the sum of its proper divisors (210234583127550).

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

131026322645250 is a wasteful number, since it uses less digits than its factorization.

131026322645250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7595728892 (or 7595728882 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 131026322645250 in words is "one hundred thirty-one trillion, twenty-six billion, three hundred twenty-two million, six hundred forty-five thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 15 23 25 30 46 50 69 75 115 125 138 150 230 250 345 375 575 690 750 1150 1725 2875 3450 5750 8625 17250 7595728849 15191457698 22787186547 37978644245 45574373094 75957288490 113935932735 174701763527 189893221225 227871865470 349403527054 379786442450 524105290581 569679663675 873508817635 949466106125 1048210581162 1139359327350 1747017635270 1898932212250 2620526452905 2848398318375 4367544088175 5241052905810 5696796636750 8735088176350 13102632264525 21837720440875 26205264529050 43675440881750 65513161322625 131026322645250