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131423121000 = 23335341911617
BaseRepresentation
bin111101001100101101…
…1011010111001101000
3110120020002210021122000
41322121123122321220
54123123304333000
6140212553331000
712331534045113
oct1723133327150
9416202707560
10131423121000
1150810a1aa96
1221579406a60
13c51598a172
14650a4b957a
153642c74000
hex1e996dae68

131423121000 has 256 divisors, whose sum is σ = 456726816000. Its totient is φ = 34959513600.

The previous prime is 131423120947. The next prime is 131423121001. The reversal of 131423121000 is 121324131.

131423121000 is a `hidden beast` number, since 1 + 31 + 423 + 1 + 210 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (131423121001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11307192 + ... + 11318808.

It is an arithmetic number, because the mean of its divisors is an integer number (1784089125).

Almost surely, 2131423121000 is an apocalyptic number.

131423121000 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 131423121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228363408000).

131423121000 is an abundant number, since it is smaller than the sum of its proper divisors (325303695000).

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

131423121000 is a wasteful number, since it uses less digits than its factorization.

131423121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12066 (or 12046 counting only the distinct ones).

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

Adding to 131423121000 its reverse (121324131), we get a palindrome (131544445131).

The spelling of 131423121000 in words is "one hundred thirty-one billion, four hundred twenty-three million, one hundred twenty-one thousand".