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131143302432 = 2532521874009
BaseRepresentation
bin111101000100010111…
…1111111110100100000
3110112111121021000201100
41322020233333310200
54122040141134212
6140125120034400
712321565451412
oct1721057776440
9415447230640
10131143302432
1150687a8017a
12214bb762a00
13c49ca0724c
1464c127a9b2
1536283eebdc
hex1e88bffd20

131143302432 has 72 divisors (see below), whose sum is σ = 373655007180. Its totient is φ = 43630479360.

The previous prime is 131143302431. The next prime is 131143302469. The reversal of 131143302432 is 234203341131.

It is a happy number.

131143302432 is a `hidden beast` number, since 1 + 311 + 4 + 3 + 302 + 43 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 131133791376 + 9511056 = 362124^2 + 3084^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1311433024322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131143302396 and 131143302405.

It is not an unprimeable number, because it can be changed into a prime (131143302431) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 286957 + ... + 587052.

Almost surely, 2131143302432 is an apocalyptic number.

131143302432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131143302432 is an abundant number, since it is smaller than the sum of its proper divisors (242511704748).

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

131143302432 is a wasteful number, since it uses less digits than its factorization.

131143302432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874546 (or 874535 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 131143302432 its reverse (234203341131), we get a palindrome (365346643563).

The spelling of 131143302432 in words is "one hundred thirty-one billion, one hundred forty-three million, three hundred two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 521 1042 1563 2084 3126 4168 4689 6252 8336 9378 12504 16672 18756 25008 37512 50016 75024 150048 874009 1748018 2622027 3496036 5244054 6992072 7866081 10488108 13984144 15732162 20976216 27968288 31464324 41952432 62928648 83904864 125857296 251714592 455358689 910717378 1366076067 1821434756 2732152134 3642869512 4098228201 5464304268 7285739024 8196456402 10928608536 14571478048 16392912804 21857217072 32785825608 43714434144 65571651216 131143302432