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100668375717 = 3713418993869
BaseRepresentation
bin101110111000001001…
…1011000001010100101
3100121211202022100100220
41131300103120022211
53122132101010332
6114125120354553
710162441034520
oct1356023301245
9317752270326
10100668375717
1139769745728
1217615775a59
139654128730
144c2db25bb7
152942c61d2c
hex17704d82a5

100668375717 has 32 divisors (see below), whose sum is σ = 169228657920. Its totient is φ = 51804679680.

The previous prime is 100668375683. The next prime is 100668375793. The reversal of 100668375717 is 717573866001.

It is a happy number.

It is not a de Polignac number, because 100668375717 - 219 = 100667851429 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100668375717.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100668355717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4485742 + ... + 4508127.

It is an arithmetic number, because the mean of its divisors is an integer number (5288395560).

Almost surely, 2100668375717 is an apocalyptic number.

It is an amenable number.

100668375717 is a deficient number, since it is larger than the sum of its proper divisors (68560282203).

100668375717 is a wasteful number, since it uses less digits than its factorization.

100668375717 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8993933.

The product of its (nonzero) digits is 1481760, while the sum is 51.

The spelling of 100668375717 in words is "one hundred billion, six hundred sixty-eight million, three hundred seventy-five thousand, seven hundred seventeen".

Divisors: 1 3 7 13 21 39 41 91 123 273 287 533 861 1599 3731 11193 8993869 26981607 62957083 116920297 188871249 350760891 368748629 818442079 1106245887 2455326237 2581240403 4793732177 7743721209 14381196531 33556125239 100668375717