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131113331300 = 225271731355417
BaseRepresentation
bin111101000011011110…
…1101010101001100100
3110112102111212100001102
41322012331222221210
54122010003100200
6140122125415232
712321052633130
oct1720675525144
9415374770042
10131113331300
115067206a446
12214b170a518
13c496742453
1464bb2b83c0
15362597e6d5
hex1e86f6aa64

131113331300 has 144 divisors (see below), whose sum is σ = 355395253248. Its totient is φ = 40943923200.

The previous prime is 131113331281. The next prime is 131113331303. The reversal of 131113331300 is 3133311131.

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

It is not an unprimeable number, because it can be changed into a prime (131113331303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 191192 + ... + 546608.

It is an arithmetic number, because the mean of its divisors is an integer number (2468022592).

Almost surely, 2131113331300 is an apocalyptic number.

131113331300 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 131113331300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177697626624).

131113331300 is an abundant number, since it is smaller than the sum of its proper divisors (224281921948).

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

131113331300 is a wasteful number, since it uses less digits than its factorization.

131113331300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355486 (or 355479 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 20.

Adding to 131113331300 its reverse (3133311131), we get a palindrome (134246642431).

The spelling of 131113331300 in words is "one hundred thirty-one billion, one hundred thirteen million, three hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 17 20 25 28 31 34 35 50 62 68 70 85 100 119 124 140 155 170 175 217 238 310 340 350 425 434 476 527 595 620 700 775 850 868 1054 1085 1190 1550 1700 2108 2170 2380 2635 2975 3100 3689 4340 5270 5425 5950 7378 10540 10850 11900 13175 14756 18445 21700 26350 36890 52700 73780 92225 184450 355417 368900 710834 1421668 1777085 2487919 3554170 4975838 6042089 7108340 8885425 9951676 11017927 12084178 12439595 17770850 22035854 24168356 24879190 30210445 35541700 42294623 44071708 49758380 55089635 60420890 62197975 77125489 84589246 110179270 120841780 124395950 151052225 154250978 169178492 187304759 211473115 220358540 248791900 275448175 302104450 308501956 374609518 385627445 422946230 550896350 604208900 749219036 771254890 845892460 936523795 1057365575 1101792700 1311133313 1542509780 1873047590 1928137225 2114731150 2622266626 3746095180 3856274450 4229462300 4682618975 5244533252 6555666565 7712548900 9365237950 13111333130 18730475900 26222666260 32778332825 65556665650 131113331300