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97129221300 = 223252433836553
BaseRepresentation
bin101101001110101011…
…0100100110010110100
3100021201002202200012200
41122131112210302310
53042410040040200
6112342012144500
710005644521206
oct1323526446264
9307632680180
1097129221300
1138212a05621
12169a8468130
13920bb30417
1449b5a94776
1527d71bd800
hex169d5a4cb4

97129221300 has 216 divisors, whose sum is σ = 312387339264. Its totient is φ = 25228869120.

The previous prime is 97129221289. The next prime is 97129221361. The reversal of 97129221300 is 312292179.

97129221300 is a `hidden beast` number, since 9 + 7 + 129 + 221 + 300 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 71 ways as a sum of consecutive naturals, for example, 14818824 + ... + 14825376.

Almost surely, 297129221300 is an apocalyptic number.

97129221300 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 97129221300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156193669632).

97129221300 is an abundant number, since it is smaller than the sum of its proper divisors (215258117964).

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

97129221300 is a wasteful number, since it uses less digits than its factorization.

97129221300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6999 (or 6989 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 97129221300 in words is "ninety-seven billion, one hundred twenty-nine million, two hundred twenty-one thousand, three hundred".