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101998997 = 1723353739
BaseRepresentation
bin1100001010001…
…10000110010101
321002221002022122
412011012012111
5202102431442
614042105325
72345656112
oct605060625
9232832278
10101998997
11526373a1
122a1ab245
1318193649
14d791909
158e4bdd2
hex6146195

101998997 has 16 divisors (see below), whose sum is σ = 113166720. Its totient is φ = 91441152.

The previous prime is 101998987. The next prime is 101998999. The reversal of 101998997 is 799899101.

It is a cyclic number.

It is not a de Polignac number, because 101998997 - 218 = 101736853 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101998999) 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 15 ways as a sum of consecutive naturals, for example, 137654 + ... + 138392.

It is an arithmetic number, because the mean of its divisors is an integer number (7072920).

Almost surely, 2101998997 is an apocalyptic number.

101998997 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

101998997 is a deficient number, since it is larger than the sum of its proper divisors (11167723).

101998997 is a wasteful number, since it uses less digits than its factorization.

101998997 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132.

The product of its (nonzero) digits is 367416, while the sum is 53.

The square root of 101998997 is about 10099.4552823407. The cubic root of 101998997 is about 467.2313413450.

The spelling of 101998997 in words is "one hundred one million, nine hundred ninety-eight thousand, nine hundred ninety-seven".

Divisors: 1 17 23 353 391 739 6001 8119 12563 16997 138023 260867 288949 4434739 5999941 101998997