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97301232000 = 2732537831163
BaseRepresentation
bin101101010011110011…
…0101111100110000000
3100022011002102201112100
41122213212233212000
53043233103411000
6112411035030400
710013133553140
oct1324746574600
9308132381470
1097301232000
11382a1010825
1216a35b9b400
1392386679bb
1449d086c920
1527e7349a00
hex16a79af980

97301232000 has 768 divisors, whose sum is σ = 404511045120. Its totient is φ = 21953433600.

The previous prime is 97301231959. The next prime is 97301232019. The reversal of 97301232000 is 23210379.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 83663419 + ... + 83664581.

It is an arithmetic number, because the mean of its divisors is an integer number (526707090).

Almost surely, 297301232000 is an apocalyptic number.

97301232000 is a gapful number since it is divisible by the number (90) 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 97301232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202255522560).

97301232000 is an abundant number, since it is smaller than the sum of its proper divisors (307209813120).

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

97301232000 is a wasteful number, since it uses less digits than its factorization.

97301232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

Adding to 97301232000 its reverse (23210379), we get a palindrome (97324442379).

The spelling of 97301232000 in words is "ninety-seven billion, three hundred one million, two hundred thirty-two thousand".