Search a number
-
+
131223101100 = 2235271337163797
BaseRepresentation
bin111101000110110000…
…0011001111010101100
3110112201011102012220120
41322031200121322230
54122221103213400
6140141050244540
712323554645530
oct1721540317254
9415634365816
10131223101100
1150719024093
1221522426750
13c4b33c6ab0
1464cbacdbc0
153630413ca0
hex1e8d819eac

131223101100 has 576 divisors, whose sum is σ = 483468389376. Its totient is φ = 26739486720.

The previous prime is 131223101059. The next prime is 131223101123. The reversal of 131223101100 is 1101322131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 131223101100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 164645902 + ... + 164646698.

Almost surely, 2131223101100 is an apocalyptic number.

131223101100 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 131223101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241734194688).

131223101100 is an abundant number, since it is smaller than the sum of its proper divisors (352245288276).

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

131223101100 is a wasteful number, since it uses less digits than its factorization.

131223101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 131223101100 its reverse (1101322131), we get a palindrome (132324423231).

The spelling of 131223101100 in words is "one hundred thirty-one billion, two hundred twenty-three million, one hundred one thousand, one hundred".