Search a number
-
+
131330143032 = 23311497462663
BaseRepresentation
bin111101001001111100…
…0101111001100111000
3110112222121211111211120
41322103320233030320
54122431004034112
6140155432425240
712326324540244
oct1722370571470
9415877744746
10131330143032
11507734952a0
1221552248220
13c4cc63490a
1464dbdd5424
153639a09e8c
hex1e93e2f338

131330143032 has 32 divisors (see below), whose sum is σ = 358173118080. Its totient is φ = 39797012960.

The previous prime is 131330142997. The next prime is 131330143033. The reversal of 131330143032 is 230341033131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 131330142993 and 131330143011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131330143033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 248731068 + ... + 248731595.

It is an arithmetic number, because the mean of its divisors is an integer number (11192909940).

Almost surely, 2131330143032 is an apocalyptic number.

131330143032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131330143032 is an abundant number, since it is smaller than the sum of its proper divisors (226842975048).

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

131330143032 is a wasteful number, since it uses less digits than its factorization.

131330143032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497462683 (or 497462679 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 131330143032 its reverse (230341033131), we get a palindrome (361671176163).

The spelling of 131330143032 in words is "one hundred thirty-one billion, three hundred thirty million, one hundred forty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 497462663 994925326 1492387989 1989850652 2984775978 3979701304 5472089293 5969551956 10944178586 11939103912 16416267879 21888357172 32832535758 43776714344 65665071516 131330143032