Search a number
-
+
131111313032 = 2377352161559
BaseRepresentation
bin111101000011011010…
…1111101111010001000
3110112102101001210111202
41322012311331322020
54122003444004112
6140122014243332
712321026526020
oct1720665757210
9415371053452
10131111313032
1150670a11057
12214b0ab6548
13c4961b68cb
1464bad10a80
1536256d16c2
hex1e86d7de88

131111313032 has 64 divisors (see below), whose sum is σ = 285352761600. Its totient is φ = 55313556480.

The previous prime is 131111313031. The next prime is 131111313101. The reversal of 131111313032 is 230313111131.

It is a junction number, because it is equal to n+sod(n) for n = 131111312995 and 131111313013.

It is not an unprimeable number, because it can be changed into a prime (131111313031) 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, 2099069 + ... + 2160627.

It is an arithmetic number, because the mean of its divisors is an integer number (4458636900).

Almost surely, 2131111313032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131111313032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142676380800).

131111313032 is an abundant number, since it is smaller than the sum of its proper divisors (154241448568).

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

131111313032 is a wasteful number, since it uses less digits than its factorization.

131111313032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62166 (or 62162 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 131111313032 its reverse (230313111131), we get a palindrome (361424424163).

The spelling of 131111313032 in words is "one hundred thirty-one billion, one hundred eleven million, three hundred thirteen thousand, thirty-two".

Divisors: 1 2 4 7 8 14 28 56 73 146 292 511 521 584 1022 1042 2044 2084 3647 4088 4168 7294 14588 29176 38033 61559 76066 123118 152132 246236 266231 304264 430913 492472 532462 861826 1064924 1723652 2129848 3447304 4493807 8987614 17975228 31456649 32072239 35950456 62913298 64144478 125826596 128288956 224505673 251653192 256577912 449011346 898022692 1796045384 2341273447 4682546894 9365093788 16388914129 18730187576 32777828258 65555656516 131111313032