Search a number
-
+
131032122120 = 2336519236503
BaseRepresentation
bin111101000001000011…
…1111000001100001000
3110112012212001111000000
41322002013320030020
54121323210401440
6140110105043000
712316045442514
oct1720207701410
9415185044000
10131032122120
1150630242819
122148a486460
13c48297a893
1464b05b9144
15361d78c730
hex1e821f8308

131032122120 has 224 divisors, whose sum is σ = 465297969600. Its totient is φ = 33102711936.

The previous prime is 131032122061. The next prime is 131032122127. The reversal of 131032122120 is 21221230131.

131032122120 is a `hidden beast` number, since 1 + 310 + 321 + 22 + 12 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 131032122093 and 131032122102.

It is not an unprimeable number, because it can be changed into a prime (131032122127) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 435789 + ... + 672291.

Almost surely, 2131032122120 is an apocalyptic number.

131032122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131032122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232648984800).

131032122120 is an abundant number, since it is smaller than the sum of its proper divisors (334265847480).

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

131032122120 is a wasteful number, since it uses less digits than its factorization.

131032122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236551 (or 236532 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 131032122120 its reverse (21221230131), we get a palindrome (152253352251).

The spelling of 131032122120 in words is "one hundred thirty-one billion, thirty-two million, one hundred twenty-two thousand, one hundred twenty".