Search a number
-
+
131032111120 = 2455572940577
BaseRepresentation
bin111101000001000011…
…1110101100000010000
3110112012212000220220121
41322002013311200100
54121323210023440
6140110104520024
712316045365451
oct1720207654020
9415185026817
10131032111120
1150630235529
122148a480014
13c482975881
1464b05b5128
15361d78934a
hex1e821f5810

131032111120 has 40 divisors (see below), whose sum is σ = 305196709464. Its totient is φ = 52318728192.

The previous prime is 131032111073. The next prime is 131032111123. The reversal of 131032111120 is 21111230131.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 11725424656 + 119306686464 = 108284^2 + 345408^2 .

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 (16).

It is a junction number, because it is equal to n+sod(n) for n = 131032111094 and 131032111103.

It is not an unprimeable number, because it can be changed into a prime (131032111123) 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, 1425729 + ... + 1514848.

Almost surely, 2131032111120 is an apocalyptic number.

131032111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131032111120 is an abundant number, since it is smaller than the sum of its proper divisors (174164598344).

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

131032111120 is a wasteful number, since it uses less digits than its factorization.

131032111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2941147 (or 2941141 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 131032111120 its reverse (21111230131), we get a palindrome (152143341251).

The spelling of 131032111120 in words is "one hundred thirty-one billion, thirty-two million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 557 1114 2228 2785 4456 5570 8912 11140 22280 44560 2940577 5881154 11762308 14702885 23524616 29405770 47049232 58811540 117623080 235246160 1637901389 3275802778 6551605556 8189506945 13103211112 16379013890 26206422224 32758027780 65516055560 131032111120