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10100000097 = 3211234435661
BaseRepresentation
bin10010110100000000…
…11100010101100001
3222001212221011110200
421122000130111201
5131141100000342
64350114015413
7505200404265
oct113200342541
928055834420
1010100000097
114313206620
121b5a577569
13c4c631025
146bb5540a5
153e1a6294c
hex25a01c561

10100000097 has 24 divisors (see below), whose sum is σ = 16607118528. Its totient is φ = 5855071200.

The previous prime is 10100000087. The next prime is 10100000111. The reversal of 10100000097 is 79000000101.

It is not a de Polignac number, because 10100000097 - 211 = 10099998049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10100000017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2215554 + ... + 2220107.

It is an arithmetic number, because the mean of its divisors is an integer number (691963272).

Almost surely, 210100000097 is an apocalyptic number.

It is an amenable number.

10100000097 is a deficient number, since it is larger than the sum of its proper divisors (6507118431).

10100000097 is a wasteful number, since it uses less digits than its factorization.

10100000097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4435701 (or 4435698 counting only the distinct ones).

The product of its (nonzero) digits is 63, while the sum is 18.

Adding to 10100000097 its reverse (79000000101), we get a palindrome (89100000198).

The spelling of 10100000097 in words is "ten billion, one hundred million, ninety-seven", and thus it is an aban number.

Divisors: 1 3 9 11 23 33 69 99 207 253 759 2277 4435661 13306983 39920949 48792271 102020203 146376813 306060609 439130439 918181827 1122222233 3366666699 10100000097