Search a number
-
+
131030034114 = 23731100637507
BaseRepresentation
bin111101000000111111…
…1111010011011000010
3110112012201010101210110
41322001333322123002
54121322142042424
6140105552212150
712316021625160
oct1720177723302
9415181111713
10131030034114
115062a046aa1
122148983a056
13c4823c9385
1464b01d4230
15361d4c8c29
hex1e81ffa6c2

131030034114 has 32 divisors (see below), whose sum is σ = 309158424576. Its totient is φ = 36229502160.

The previous prime is 131030034061. The next prime is 131030034119. The reversal of 131030034114 is 411430030131.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (131030034119) 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, 50317452 + ... + 50320055.

It is an arithmetic number, because the mean of its divisors is an integer number (9661200768).

Almost surely, 2131030034114 is an apocalyptic number.

131030034114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

131030034114 is an abundant number, since it is smaller than the sum of its proper divisors (178128390462).

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

131030034114 is a wasteful number, since it uses less digits than its factorization.

131030034114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100637550.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 131030034114 its reverse (411430030131), we get a palindrome (542460064245).

The spelling of 131030034114 in words is "one hundred thirty-one billion, thirty million, thirty-four thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 14 21 31 42 62 93 186 217 434 651 1302 100637507 201275014 301912521 603825042 704462549 1408925098 2113387647 3119762717 4226775294 6239525434 9359288151 18718576302 21838339019 43676678038 65515017057 131030034114