Search a number
-
+
131377020760 = 23519503343667
BaseRepresentation
bin111101001011010101…
…1100011111101011000
3110120002220001010222201
41322112223203331120
54123030004131020
6140204225255544
712330434152066
oct1722653437530
9416086033881
10131377020760
11507979a3217
1221565a945b4
13c509268b0b
146504319036
15363dbb9a0a
hex1e96ae3f58

131377020760 has 64 divisors (see below), whose sum is σ = 311775609600. Its totient is φ = 49685855616.

The previous prime is 131377020659. The next prime is 131377020769. The reversal of 131377020760 is 67020773131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131377020769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 210447 + ... + 554113.

It is an arithmetic number, because the mean of its divisors is an integer number (4871493900).

Almost surely, 2131377020760 is an apocalyptic number.

131377020760 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 131377020760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155887804800).

131377020760 is an abundant number, since it is smaller than the sum of its proper divisors (180398588840).

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

131377020760 is a wasteful number, since it uses less digits than its factorization.

131377020760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344200 (or 344196 counting only the distinct ones).

The product of its (nonzero) digits is 37044, while the sum is 37.

Adding to 131377020760 its reverse (67020773131), we get a palindrome (198397793891).

The spelling of 131377020760 in words is "one hundred thirty-one billion, three hundred seventy-seven million, twenty thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 503 760 1006 2012 2515 4024 5030 9557 10060 19114 20120 38228 47785 76456 95570 191140 343667 382280 687334 1374668 1718335 2749336 3436670 6529673 6873340 13059346 13746680 26118692 32648365 52237384 65296730 130593460 172864501 261186920 345729002 691458004 864322505 1382916008 1728645010 3284425519 3457290020 6568851038 6914580040 13137702076 16422127595 26275404152 32844255190 65688510380 131377020760