Search a number
-
+
131121225250320 = 24351912860410673
BaseRepresentation
bin11101110100000100001010…
…000011011011011000010000
3122012021001210122010111012210
4131310010022003123120100
5114141242232131002240
61142512132002152120
736422124124115334
oct3564041203333020
9565231718114183
10131121225250320
113886322136aa08
1212858209052640
1358218a8830676
1424544305717c4
151025b6d63c780
hex77410a0db610

131121225250320 has 80 divisors (see below), whose sum is σ = 408603943959552. Its totient is φ = 34782593771520.

The previous prime is 131121225250307. The next prime is 131121225250369. The reversal of 131121225250320 is 23052522121131.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1311212252503202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1430159497 + ... + 1430251176.

Almost surely, 2131121225250320 is an apocalyptic number.

131121225250320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131121225250320 is an abundant number, since it is smaller than the sum of its proper divisors (277482718709232).

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

131121225250320 is a wasteful number, since it uses less digits than its factorization.

131121225250320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2860410880 (or 2860410874 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 131121225250320 its reverse (23052522121131), we get a palindrome (154173747371451).

The spelling of 131121225250320 in words is "one hundred thirty-one trillion, one hundred twenty-one billion, two hundred twenty-five million, two hundred fifty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 191 240 382 573 764 955 1146 1528 1910 2292 2865 3056 3820 4584 5730 7640 9168 11460 15280 22920 45840 2860410673 5720821346 8581232019 11441642692 14302053365 17162464038 22883285384 28604106730 34324928076 42906160095 45766570768 57208213460 68649856152 85812320190 114416426920 137299712304 171624640380 228832853840 343249280760 546338438543 686498561520 1092676877086 1639015315629 2185353754172 2731692192715 3278030631258 4370707508344 5463384385430 6556061262516 8195076578145 8741415016688 10926768770860 13112122525032 16390153156290 21853537541720 26224245050064 32780306312580 43707075083440 65560612625160 131121225250320