Search a number
-
+
131002314444 = 2234530976159
BaseRepresentation
bin111101000000001011…
…0001010111011001100
3110112010202222002120000
41322000112022323030
54121243043030234
6140103122124300
712315234204621
oct1720026127314
9415122862500
10131002314444
1150615433881
12214804b0690
13c4797422c1
1464aa65a348
15361ad50899
hex1e8058aecc

131002314444 has 60 divisors (see below), whose sum is σ = 342534931200. Its totient is φ = 43658639712.

The previous prime is 131002314437. The next prime is 131002314451. The reversal of 131002314444 is 444413200131.

It is an interprime number because it is at equal distance from previous prime (131002314437) and next prime (131002314451).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1682037 + ... + 1758195.

It is an arithmetic number, because the mean of its divisors is an integer number (5708915520).

Almost surely, 2131002314444 is an apocalyptic number.

It is an amenable number.

131002314444 is an abundant number, since it is smaller than the sum of its proper divisors (211532616756).

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

131002314444 is a wasteful number, since it uses less digits than its factorization.

131002314444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81484 (or 81473 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 131002314444 its reverse (444413200131), we get a palindrome (575415514575).

The spelling of 131002314444 in words is "one hundred thirty-one billion, two million, three hundred fourteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 5309 10618 15927 21236 31854 47781 63708 76159 95562 143343 152318 191124 228477 286686 304636 430029 456954 573372 685431 860058 913908 1370862 1720116 2056293 2741724 4112586 6168879 8225172 12337758 24675516 404328131 808656262 1212984393 1617312524 2425968786 3638953179 4851937572 7277906358 10916859537 14555812716 21833719074 32750578611 43667438148 65501157222 131002314444