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131520352240 = 24529539711027
BaseRepresentation
bin111101001111100111…
…0010100111111110000
3110120110212202010211001
41322133032110333300
54123323202232430
6140230345331344
712334124356114
oct1723716247760
9416425663731
10131520352240
11508608a0292
12215a5a96b54
13c52cb71644
146519389744
15364b57d3ca
hex1e9f394ff0

131520352240 has 160 divisors (see below), whose sum is σ = 325649782080. Its totient is φ = 49317445632.

The previous prime is 131520352199. The next prime is 131520352247. The reversal of 131520352240 is 42253025131.

It is a junction number, because it is equal to n+sod(n) for n = 131520352199 and 131520352208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131520352247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11921607 + ... + 11932633.

It is an arithmetic number, because the mean of its divisors is an integer number (2035311138).

Almost surely, 2131520352240 is an apocalyptic number.

131520352240 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 131520352240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162824891040).

131520352240 is an abundant number, since it is smaller than the sum of its proper divisors (194129429840).

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

131520352240 is a wasteful number, since it uses less digits than its factorization.

131520352240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11219 (or 11213 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

Adding to 131520352240 its reverse (42253025131), we get a palindrome (173773377371).

The spelling of 131520352240 in words is "one hundred thirty-one billion, five hundred twenty million, three hundred fifty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 53 58 80 97 106 116 145 194 212 232 265 290 388 424 464 485 530 580 776 848 970 1060 1160 1537 1552 1940 2120 2320 2813 3074 3880 4240 5141 5626 6148 7685 7760 10282 11027 11252 12296 14065 15370 20564 22054 22504 24592 25705 28130 30740 41128 44108 45008 51410 55135 56260 61480 82256 88216 102820 110270 112520 122960 149089 176432 205640 220540 225040 298178 319783 411280 441080 584431 596356 639566 745445 882160 1069619 1168862 1192712 1279132 1490890 1598915 2139238 2337724 2385424 2558264 2922155 2981780 3197830 4278476 4675448 5116528 5348095 5844310 5963560 6395660 8556952 9350896 10696190 11688620 11927120 12791320 16948499 17113904 21392380 23377240 25582640 31018951 33896998 42784760 46754480 56689807 62037902 67793996 84742495 85569520 113379614 124075804 135587992 155094755 169484990 226759228 248151608 271175984 283449035 310189510 338969980 453518456 496303216 566898070 620379020 677939960 907036912 1133796140 1240758040 1355879920 1644004403 2267592280 2481516080 3288008806 4535184560 6576017612 8220022015 13152035224 16440044030 26304070448 32880088060 65760176120 131520352240