Search a number
-
+
131330231120 = 24511149238899
BaseRepresentation
bin111101001001111100…
…1000100101101010000
3110112222121222222200002
41322103321010231100
54122431014343440
6140155434345132
712326325355124
oct1722371045520
9415877888602
10131330231120
11507735454a0
122155228b1a8
13c4cc665a3a
1464dc019584
153639a26115
hex1e93e44b50

131330231120 has 40 divisors (see below), whose sum is σ = 333101224800. Its totient is φ = 47756447360.

The previous prime is 131330231119. The next prime is 131330231147. The reversal of 131330231120 is 21132033131.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 131330231092 and 131330231101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74618570 + ... + 74620329.

It is an arithmetic number, because the mean of its divisors is an integer number (8327530620).

Almost surely, 2131330231120 is an apocalyptic number.

131330231120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131330231120 is an abundant number, since it is smaller than the sum of its proper divisors (201770993680).

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

131330231120 is a wasteful number, since it uses less digits than its factorization.

131330231120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149238923 (or 149238917 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 131330231120 its reverse (21132033131), we get a palindrome (152462264251).

The spelling of 131330231120 in words is "one hundred thirty-one billion, three hundred thirty million, two hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 149238899 298477798 596955596 746194495 1193911192 1492388990 1641627889 2387822384 2984777980 3283255778 5969555960 6566511556 8208139445 11939111920 13133023112 16416278890 26266046224 32832557780 65665115560 131330231120