Search a number
-
+
131211234101000 = 2353131211234101
BaseRepresentation
bin11101110101010111111110…
…111111111100011100001000
3122012120200010111122212012002
4131311113332333330130020
5114144231101412213000
61143021335300210132
736431461461533534
oct3565277677743410
9565520114585162
10131211234101000
113889840aa86709
1212871748999948
13582a221431321
14245892c6d4bc4
15102818a6668d5
hex7755feffc708

131211234101000 has 32 divisors (see below), whose sum is σ = 307034287798680. Its totient is φ = 52484493640000.

The previous prime is 131211234100993. The next prime is 131211234101053. The reversal of 131211234101000 is 101432112131.

It can be written as a sum of positive squares in 4 ways, for example, as 9806580350116 + 121404653750884 = 3131546^2 + 11018378^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65605616051 + ... + 65605618050.

Almost surely, 2131211234101000 is an apocalyptic number.

131211234101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131211234101000 is an abundant number, since it is smaller than the sum of its proper divisors (175823053697680).

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

131211234101000 is a wasteful number, since it uses less digits than its factorization.

131211234101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131211234122 (or 131211234108 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 131211234101000 its reverse (101432112131), we get a palindrome (131312666213131).

The spelling of 131211234101000 in words is "one hundred thirty-one trillion, two hundred eleven billion, two hundred thirty-four million, one hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 131211234101 262422468202 524844936404 656056170505 1049689872808 1312112341010 2624224682020 3280280852525 5248449364040 6560561705050 13121123410100 16401404262625 26242246820200 32802808525250 65605617050500 131211234101000