Search a number
-
+
131000331121400 = 235213101498858839
BaseRepresentation
bin11101110010010011100100…
…001100111011001011111000
3122011211111202022111102102102
4131302103210030323023320
5114132302134231341100
61142340415445322532
736410314220016146
oct3562234414731370
9564744668442372
10131000331121400
1138816a23823574
12128388a9a06448
135813380327040
14244c64259a596
151022944e19cd5
hex7724e433b2f8

131000331121400 has 96 divisors (see below), whose sum is σ = 331252246936800. Its totient is φ = 47890448448000.

The previous prime is 131000331121399. The next prime is 131000331121403. The reversal of 131000331121400 is 4121133000131.

It is a super-2 number, since 2×1310003311214002 (a number of 29 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 not an unprimeable number, because it can be changed into a prime (131000331121403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 249166820 + ... + 249692019.

It is an arithmetic number, because the mean of its divisors is an integer number (3450544238925).

Almost surely, 2131000331121400 is an apocalyptic number.

131000331121400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131000331121400 is an abundant number, since it is smaller than the sum of its proper divisors (200251915815400).

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

131000331121400 is a wasteful number, since it uses less digits than its factorization.

131000331121400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498858969 (or 498858960 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 131000331121400 its reverse (4121133000131), we get a palindrome (135121464121531).

The spelling of 131000331121400 in words is "one hundred thirty-one trillion, three hundred thirty-one million, one hundred twenty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 101 104 130 200 202 260 325 404 505 520 650 808 1010 1300 1313 2020 2525 2600 2626 4040 5050 5252 6565 10100 10504 13130 20200 26260 32825 52520 65650 131300 262600 498858839 997717678 1995435356 2494294195 3990870712 4988588390 6485164907 9977176780 12471470975 12970329814 19954353560 24942941950 25940659628 32425824535 49885883900 50384742739 51881319256 64851649070 99771767800 100769485478 129703298140 162129122675 201538970956 251923713695 259406596280 324258245350 403077941912 503847427390 648516490700 655001655607 1007694854780 1259618568475 1297032981400 1310003311214 2015389709560 2519237136950 2620006622428 3275008278035 5038474273900 5240013244856 6550016556070 10076948547800 13100033112140 16375041390175 26200066224280 32750082780350 65500165560700 131000331121400