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323030312131032 = 233211892103949559
BaseRepresentation
bin100100101110010110101101…
…1000000011001100111011000
31120100202101200212022011121200
41021130231123000121213120
5314320012034401143112
63103010024324034200
7125020112161600662
oct11134553300314730
91510671625264550
10323030312131032
1193a224278a69a0
1230291531b32960
1310b3282116814c
1459aaa71645532
152752b5e16acdc
hex125cb5b0199d8

323030312131032 has 288 divisors, whose sum is σ = 966200429376000. Its totient is φ = 96693002334720.

The previous prime is 323030312131019. The next prime is 323030312131039. The reversal of 323030312131032 is 230131213030323.

323030312131032 is a `hidden beast` number, since 3 + 2 + 3 + 0 + 3 + 0 + 312 + 1 + 310 + 32 = 666.

It is a super-2 number, since 2×3230303121310322 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 323030312130987 and 323030312131005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (323030312131039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6518071069 + ... + 6518120627.

It is an arithmetic number, because the mean of its divisors is an integer number (3354862602000).

Almost surely, 2323030312131032 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 323030312131032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483100214688000).

323030312131032 is an abundant number, since it is smaller than the sum of its proper divisors (643170117244968).

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

323030312131032 is a wasteful number, since it uses less digits than its factorization.

323030312131032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50799 (or 50703 counting only the distinct ones).

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

Adding to 323030312131032 its reverse (230131213030323), we get a palindrome (553161525161355).

The spelling of 323030312131032 in words is "three hundred twenty-three trillion, thirty billion, three hundred twelve million, one hundred thirty-one thousand, thirty-two".