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101344157 = 17192631193
BaseRepresentation
bin1100000101001…
…10001110011101
321001200211001022
412002212032131
5201421003112
614020053525
72340261005
oct602461635
9231624038
10101344157
115222a402
1229b342a5
1317cc4575
14d661005
158d6cd72
hex60a639d

101344157 has 16 divisors (see below), whose sum is σ = 113477760. Its totient is φ = 89943552.

The previous prime is 101344153. The next prime is 101344171. The reversal of 101344157 is 751443101.

It is a cyclic number.

It is not a de Polignac number, because 101344157 - 22 = 101344153 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 (101344153) 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 15 ways as a sum of consecutive naturals, for example, 84353 + ... + 85545.

It is an arithmetic number, because the mean of its divisors is an integer number (7092360).

Almost surely, 2101344157 is an apocalyptic number.

101344157 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

101344157 is a deficient number, since it is larger than the sum of its proper divisors (12133603).

101344157 is a wasteful number, since it uses less digits than its factorization.

101344157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1492.

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 101344157 is about 10066.9835104663. The cubic root of 101344157 is about 466.2293090028.

Adding to 101344157 its reverse (751443101), we get a palindrome (852787258).

The spelling of 101344157 in words is "one hundred one million, three hundred forty-four thousand, one hundred fifty-seven".

Divisors: 1 17 19 263 323 1193 4471 4997 20281 22667 84949 313759 385339 5333903 5961421 101344157