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97000100 = 22521795419
BaseRepresentation
bin1011100100000…
…01101010100100
320202112010010022
411302001222210
5144313000400
613343014312
72255326061
oct562015244
9222463108
1097000100
114a83267a
122859a398
1317133212
14cc4dc68
1587b0b85
hex5c81aa4

97000100 has 36 divisors (see below), whose sum is σ = 211705200. Its totient is φ = 38576160.

The previous prime is 97000093. The next prime is 97000109. The reversal of 97000100 is 100079.

It is not an unprimeable number, because it can be changed into a prime (97000109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15191 + ... + 20609.

It is an arithmetic number, because the mean of its divisors is an integer number (5880700).

Almost surely, 297000100 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 97000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105852600).

97000100 is an abundant number, since it is smaller than the sum of its proper divisors (114705100).

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

97000100 is a wasteful number, since it uses less digits than its factorization.

97000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5612 (or 5605 counting only the distinct ones).

The product of its (nonzero) digits is 63, while the sum is 17.

The square root of 97000100 is about 9848.8628785256. The cubic root of 97000100 is about 459.4702471142.

Adding to 97000100 its reverse (100079), we get a palindrome (97100179).

The spelling of 97000100 in words is "ninety-seven million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 25 50 100 179 358 716 895 1790 3580 4475 5419 8950 10838 17900 21676 27095 54190 108380 135475 270950 541900 970001 1940002 3880004 4850005 9700010 19400020 24250025 48500050 97000100