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131033233320 = 2335114113011861
BaseRepresentation
bin111101000001000110…
…0000111011110101000
3110112012221010221021120
41322002030013132220
54121324001431240
6140110144535240
712316061051253
oct1720214073650
9415187127246
10131033233320
1150630931670
122148a921520
13c482c795b2
1464b07c809a
15361d90bad0
hex1e823077a8

131033233320 has 256 divisors, whose sum is σ = 439869346560. Its totient is φ = 30950400000.

The previous prime is 131033233291. The next prime is 131033233337. The reversal of 131033233320 is 23332330131.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 70409190 + ... + 70411050.

It is an arithmetic number, because the mean of its divisors is an integer number (1718239635).

Almost surely, 2131033233320 is an apocalyptic number.

131033233320 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 131033233320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219934673280).

131033233320 is an abundant number, since it is smaller than the sum of its proper divisors (308836113240).

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

131033233320 is a wasteful number, since it uses less digits than its factorization.

131033233320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3228 (or 3224 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 131033233320 its reverse (23332330131), we get a palindrome (154365563451).

It can be divided in two parts, 13103 and 3233320, that added together give a palindrome (3246423).

The spelling of 131033233320 in words is "one hundred thirty-one billion, thirty-three million, two hundred thirty-three thousand, three hundred twenty".