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10132312000439 = 17107191103928069
BaseRepresentation
bin1001001101110001110011…
…0110111000011110110111
31022212122021020121021211002
42103130130312320132313
52312001433333003224
633314415254233515
72064015064653566
oct223343466703667
938778236537732
1010132312000439
1132570a8a80312
12117786295589b
1358661c017445
142705996abbdd
15128870c489ae
hex9371cdb87b7

10132312000439 has 32 divisors (see below), whose sum is σ = 10896154214400. Its totient is φ = 9388328348160.

The previous prime is 10132312000319. The next prime is 10132312000501. The reversal of 10132312000439 is 93400021323101.

It is a cyclic number.

It is not a de Polignac number, because 10132312000439 - 220 = 10132310951863 is a prime.

It is a super-3 number, since 3×101323120004393 (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10132312003439) 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, 360964697 + ... + 360992765.

It is an arithmetic number, because the mean of its divisors is an integer number (340504819200).

Almost surely, 210132312000439 is an apocalyptic number.

10132312000439 is a deficient number, since it is larger than the sum of its proper divisors (763842213961).

10132312000439 is a wasteful number, since it uses less digits than its factorization.

10132312000439 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29423.

The product of its (nonzero) digits is 3888, while the sum is 29.

The spelling of 10132312000439 in words is "ten trillion, one hundred thirty-two billion, three hundred twelve million, four hundred thirty-nine", and thus it is an aban number.

Divisors: 1 17 107 191 1039 1819 3247 17663 20437 28069 111173 198449 347429 477173 1889941 3003383 3373633 5361179 21234043 29163691 51057511 91140043 360978731 495782747 573646153 3120514937 5570264981 9751984601 53048753929 94694504677 596018352967 10132312000439