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12998022345 = 3357113074073
BaseRepresentation
bin11000001101011111…
…00001010011001001
31020112212001221122000
430012233201103021
5203104443203340
65545440421213
7640050236610
oct140657412311
936485057560
1012998022345
115570054630
122629017809
1312c1b5b7a9
148b43b2877
155111b0d30
hex306be14c9

12998022345 has 128 divisors (see below), whose sum is σ = 28910407680. Its totient is φ = 5382858240.

The previous prime is 12998022287. The next prime is 12998022347. The reversal of 12998022345 is 54322089921.

It is not a de Polignac number, because 12998022345 - 26 = 12998022281 is a prime.

It is a super-2 number, since 2×129980223452 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 12998022345.

It is not an unprimeable number, because it can be changed into a prime (12998022347) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3189229 + ... + 3193301.

It is an arithmetic number, because the mean of its divisors is an integer number (225862560).

Almost surely, 212998022345 is an apocalyptic number.

12998022345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12998022345 is an abundant number, since it is smaller than the sum of its proper divisors (15912385335).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12998022345 is a wasteful number, since it uses less digits than its factorization.

12998022345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4412 (or 4406 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 12998022345 in words is "twelve billion, nine hundred ninety-eight million, twenty-two thousand, three hundred forty-five".

Divisors: 1 3 5 7 9 11 15 21 27 33 35 45 55 63 77 99 105 135 165 189 231 297 307 315 385 495 693 921 945 1155 1485 1535 2079 2149 2763 3377 3465 4073 4605 6447 8289 10131 10395 10745 12219 13815 16885 19341 20365 23639 28511 30393 32235 36657 41445 44803 50655 58023 61095 70917 85533 91179 96705 109971 118195 134409 142555 151965 183285 212751 224015 256599 290115 313621 354585 403227 427665 455895 549855 638253 672045 769797 940863 1063755 1209681 1250411 1282995 1568105 2016135 2822589 3191265 3751233 3848985 4704315 6048405 6252055 8467767 8752877 11253699 13754521 14112945 18756165 26258631 33761097 41263563 42338835 43764385 56268495 68772605 78775893 96281647 123790689 131293155 168805485 206317815 236327679 288844941 371372067 393879465 481408235 618953445 866534823 1181638395 1444224705 1856860335 2599604469 4332674115 12998022345