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131233423992 = 233112179372837
BaseRepresentation
bin111101000111000011…
…1110010001001111000
3110112201212211200020220
41322032013302021320
54122231224031432
6140142055420040
712324041461446
oct1721607621170
9415655750226
10131233423992
1150723934900
1221525984620
13c4b559c608
1464cd219b96
1536312a272c
hex1e8e1f2278

131233423992 has 192 divisors, whose sum is σ = 382376000160. Its totient is φ = 37375303680.

The previous prime is 131233423991. The next prime is 131233424011. The reversal of 131233423992 is 299324332131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131233423991) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 46256398 + ... + 46259234.

Almost surely, 2131233423992 is an apocalyptic number.

131233423992 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 131233423992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191188000080).

131233423992 is an abundant number, since it is smaller than the sum of its proper divisors (251142576168).

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

131233423992 is a wasteful number, since it uses less digits than its factorization.

131233423992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3822 (or 3807 counting only the distinct ones).

The product of its digits is 209952, while the sum is 42.

The spelling of 131233423992 in words is "one hundred thirty-one billion, two hundred thirty-three million, four hundred twenty-three thousand, nine hundred ninety-two".