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131421322032 = 243711133737333
BaseRepresentation
bin111101001100101010…
…0100011101100110000
3110120012222101212220120
41322121110203230300
54123122324301112
6140212451010240
712331512543240
oct1723124435460
9416188355816
10131421322032
115080aa01440
1221578899980
13c5154aa3a0
14650a16bb20
153642a1ae8c
hex1e99523b30

131421322032 has 320 divisors, whose sum is σ = 457123408896. Its totient is φ = 31420846080.

The previous prime is 131421322001. The next prime is 131421322063. The reversal of 131421322032 is 230223124131.

It is an interprime number because it is at equal distance from previous prime (131421322001) and next prime (131421322063).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 131421321993 and 131421322011.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17918238 + ... + 17925570.

Almost surely, 2131421322032 is an apocalyptic number.

131421322032 is a gapful number since it is divisible by the number (12) 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 131421322032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228561704448).

131421322032 is an abundant number, since it is smaller than the sum of its proper divisors (325702086864).

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

131421322032 is a wasteful number, since it uses less digits than its factorization.

131421322032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7748 (or 7742 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 131421322032 its reverse (230223124131), we get a palindrome (361644446163).

The spelling of 131421322032 in words is "one hundred thirty-one billion, four hundred twenty-one million, three hundred twenty-two thousand, thirty-two".