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131231301320 = 235710712373541
BaseRepresentation
bin111101000110111111…
…1101011111011001000
3110112201201211211111102
41322031333223323020
54122230203120240
6140141542120532
712324014441060
oct1721577537310
9415651754442
10131231301320
1150722715029
1221525120148
13c4b50083b2
1464ccc263a0
153630ed3815
hex1e8dfebec8

131231301320 has 128 divisors (see below), whose sum is σ = 340977288960. Its totient is φ = 44524477440.

The previous prime is 131231301281. The next prime is 131231301353. The reversal of 131231301320 is 23103132131.

It is a super-2 number, since 2×1312313013202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 131231301292 and 131231301301.

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, 37058750 + ... + 37062290.

It is an arithmetic number, because the mean of its divisors is an integer number (2663885070).

Almost surely, 2131231301320 is an apocalyptic number.

131231301320 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 131231301320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170488644480).

131231301320 is an abundant number, since it is smaller than the sum of its proper divisors (209745987640).

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

131231301320 is a wasteful number, since it uses less digits than its factorization.

131231301320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4903 (or 4899 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 131231301320 its reverse (23103132131), we get a palindrome (154334433451).

The spelling of 131231301320 in words is "one hundred thirty-one billion, two hundred thirty-one million, three hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 107 140 214 280 428 535 749 856 1070 1237 1498 2140 2474 2996 3541 3745 4280 4948 5992 6185 7082 7490 8659 9896 12370 14164 14980 17318 17705 24740 24787 28328 29960 34636 35410 43295 49480 49574 69272 70820 86590 99148 123935 132359 141640 173180 198296 247870 264718 346360 378887 495740 529436 661795 757774 926513 991480 1058872 1323590 1515548 1853026 1894435 2647180 2652209 3031096 3706052 3788870 4380217 4632565 5294360 5304418 7412104 7577740 8760434 9265130 10608836 13261045 15155480 17520868 18530260 21217672 21901085 26522090 30661519 35041736 37060520 43802170 53044180 61323038 87604340 106088360 122646076 153307595 175208680 245292152 306615190 468683219 613230380 937366438 1226460760 1874732876 2343416095 3280782533 3749465752 4686832190 6561565066 9373664380 13123130132 16403912665 18747328760 26246260264 32807825330 65615650660 131231301320