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323113323132 = 223447831511693
BaseRepresentation
bin1001011001110110000…
…11100000101001111100
31010220000022201111110000
410230323003200221330
520243214002320012
6404234115514300
732226022634145
oct4547303405174
91126008644400
10323113323132
11115039058046
1252755bb8990
1324614517882
14118d2accacc
158611905ddc
hex4b3b0e0a7c

323113323132 has 240 divisors, whose sum is σ = 879348298752. Its totient is φ = 103392028800.

The previous prime is 323113323131. The next prime is 323113323151. The reversal of 323113323132 is 231323311323.

323113323132 is a `hidden beast` number, since 3 + 2 + 3 + 11 + 332 + 313 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 323113323096 and 323113323105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (323113323131) 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 79 ways as a sum of consecutive naturals, for example, 190851678 + ... + 190853370.

Almost surely, 2323113323132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 323113323132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439674149376).

323113323132 is an abundant number, since it is smaller than the sum of its proper divisors (556234975620).

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

323113323132 is a wasteful number, since it uses less digits than its factorization.

323113323132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1990 (or 1979 counting only the distinct ones).

The product of its digits is 5832, while the sum is 27.

Adding to 323113323132 its reverse (231323311323), we get a palindrome (554436634455).

The spelling of 323113323132 in words is "three hundred twenty-three billion, one hundred thirteen million, three hundred twenty-three thousand, one hundred thirty-two".