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97103173200 = 243521110967489
BaseRepresentation
bin101101001101111001…
…1001101011001010000
3100021122021202021221020
41122123303031121100
53042331403020300
6112335241555440
710005210232215
oct1323363153120
9307567667836
1097103173200
11381aa234270
121699b7a5b80
139206610147
1449b2433b0c
1527d4c758a0
hex169bccd650

97103173200 has 240 divisors, whose sum is σ = 342449659200. Its totient is φ = 23323852800.

The previous prime is 97103173187. The next prime is 97103173243. The reversal of 97103173200 is 237130179.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (33).

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 47 ways as a sum of consecutive naturals, for example, 1405056 + ... + 1472544.

It is an arithmetic number, because the mean of its divisors is an integer number (1426873580).

Almost surely, 297103173200 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 97103173200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171224829600).

97103173200 is an abundant number, since it is smaller than the sum of its proper divisors (245346486000).

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

97103173200 is a wasteful number, since it uses less digits than its factorization.

97103173200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67630 (or 67619 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 33.

The spelling of 97103173200 in words is "ninety-seven billion, one hundred three million, one hundred seventy-three thousand, two hundred".