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131200150520 = 23519231293093
BaseRepresentation
bin111101000110000100…
…0110110101111111000
3110112122120020012122002
41322030020312233320
54122144214304040
6140134510320132
712323155610315
oct1721410665770
9415576205562
10131200150520
1150707078a6a
12215167b9048
13c4ab71c67a
1464c8a37d0c
15362d3cda15
hex1e8c236bf8

131200150520 has 96 divisors (see below), whose sum is σ = 321606184320. Its totient is φ = 48113982720.

The previous prime is 131200150493. The next prime is 131200150531. The reversal of 131200150520 is 25051002131.

It is a happy number.

It is a super-3 number, since 3×1312001505203 (a number of 34 digits) contains 333 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 = 131200150492 and 131200150501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 301094 + ... + 594186.

It is an arithmetic number, because the mean of its divisors is an integer number (3350064420).

Almost surely, 2131200150520 is an apocalyptic number.

131200150520 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 131200150520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160803092160).

131200150520 is an abundant number, since it is smaller than the sum of its proper divisors (190406033800).

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

131200150520 is a wasteful number, since it uses less digits than its factorization.

131200150520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293173 (or 293150 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

Adding to 131200150520 its reverse (25051002131), we get a palindrome (156251152651).

The spelling of 131200150520 in words is "one hundred thirty-one billion, two hundred million, one hundred fifty thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 31 38 40 62 76 95 124 152 155 190 248 310 361 380 589 620 722 760 1178 1240 1444 1805 2356 2888 2945 3610 4712 5890 7220 11191 11780 14440 22382 23560 44764 55955 89528 111910 223820 293093 447640 586186 1172372 1465465 2344744 2930930 5568767 5861860 9085883 11137534 11723720 18171766 22275068 27843835 36343532 44550136 45429415 55687670 72687064 90858830 105806573 111375340 172631777 181717660 211613146 222750680 345263554 363435320 423226292 529032865 690527108 846452584 863158885 1058065730 1381054216 1726317770 2116131460 3280003763 3452635540 4232262920 6560007526 6905271080 13120015052 16400018815 26240030104 32800037630 65600075260 131200150520