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101414299 = 7173137743
BaseRepresentation
bin1100000101101…
…11010110011011
321001211101021011
412002313112123
5201430224144
614021354351
72341002340
oct602672633
9231741234
10101414299
1152278078
1229b689b7
131801a47c
14d67c7c7
158d83a34
hex60b759b

101414299 has 32 divisors (see below), whose sum is σ = 130277376. Its totient is φ = 76930560.

The previous prime is 101414273. The next prime is 101414311. The reversal of 101414299 is 992414101.

It is not a de Polignac number, because 101414299 - 27 = 101414171 is a prime.

It is a super-3 number, since 3×1014142993 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a self number, because there is not a number n which added to its sum of digits gives 101414299.

It is not an unprimeable number, because it can be changed into a prime (101414219) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136122 + ... + 136864.

It is an arithmetic number, because the mean of its divisors is an integer number (4071168).

Almost surely, 2101414299 is an apocalyptic number.

101414299 is a deficient number, since it is larger than the sum of its proper divisors (28863077).

101414299 is a wasteful number, since it uses less digits than its factorization.

101414299 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835.

The product of its (nonzero) digits is 2592, while the sum is 31.

The square root of 101414299 is about 10070.4666724040. The cubic root of 101414299 is about 466.3368459195.

The spelling of 101414299 in words is "one hundred one million, four hundred fourteen thousand, two hundred ninety-nine".

Divisors: 1 7 17 31 37 119 217 259 527 629 743 1147 3689 4403 5201 8029 12631 19499 23033 27491 88417 136493 161231 192437 391561 467347 852221 2740927 3271429 5965547 14487757 101414299