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131132421420 = 2235711213732719
BaseRepresentation
bin111101000100000011…
…0011111010100101100
3110112110211210012202220
41322020012133110230
54122024344441140
6140124050515340
712321404122350
oct1721006372454
9415424705686
10131132421420
1150681919100
12214b7b95b50
13c49a697690
1464bda47460
1536274a0bd0
hex1e8819f52c

131132421420 has 576 divisors, whose sum is σ = 503708835840. Its totient is φ = 24798597120.

The previous prime is 131132421403. The next prime is 131132421457. The reversal of 131132421420 is 24124231131.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 48226821 + ... + 48229539.

Almost surely, 2131132421420 is an apocalyptic number.

131132421420 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 131132421420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251854417920).

131132421420 is an abundant number, since it is smaller than the sum of its proper divisors (372576414420).

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

131132421420 is a wasteful number, since it uses less digits than its factorization.

131132421420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2846 (or 2833 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 131132421420 its reverse (24124231131), we get a palindrome (155256652551).

The spelling of 131132421420 in words is "one hundred thirty-one billion, one hundred thirty-two million, four hundred twenty-one thousand, four hundred twenty".