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10110122120982 = 231319107121352561
BaseRepresentation
bin1001001100011111001000…
…1111001101011100010110
31022210111222210102121200210
42103013302033031130112
52311121012230332412
633300305340150250
72062301152051512
oct223076217153426
938714883377623
1010110122120982
113248751404464
1211734ab538386
135844c3a42860
1426d492621142
15127ec2b0e83c
hex931f23cd716

10110122120982 has 128 divisors (see below), whose sum is σ = 23155470051840. Its totient is φ = 2917074954240.

The previous prime is 10110122120939. The next prime is 10110122120983. The reversal of 10110122120982 is 28902122101101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10110122120983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 192323982 + ... + 192376542.

It is an arithmetic number, because the mean of its divisors is an integer number (180902109780).

Almost surely, 210110122120982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10110122120982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11577735025920).

10110122120982 is an abundant number, since it is smaller than the sum of its proper divisors (13045347930858).

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

10110122120982 is a wasteful number, since it uses less digits than its factorization.

10110122120982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53918.

The product of its (nonzero) digits is 1152, while the sum is 30.

The spelling of 10110122120982 in words is "ten trillion, one hundred ten billion, one hundred twenty-two million, one hundred twenty thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 107 114 214 247 321 494 642 741 1213 1391 1482 2033 2426 2782 3639 4066 4173 6099 7278 8346 12198 15769 23047 26429 31538 46094 47307 52561 52858 69141 79287 94614 105122 129791 138282 157683 158574 259582 299611 315366 389373 599222 683293 778746 898833 998659 1366586 1687283 1797666 1997318 2049879 2466029 2995977 3374566 4099758 4932058 5061849 5624027 5991954 7398087 10123698 11248054 12982567 14796174 16872081 25965134 32058377 33744162 38947701 63756493 64116754 73112351 77895402 96175131 106856513 127512986 146224702 191269479 192350262 213713026 219337053 320569539 382538958 438674106 641139078 828834409 1211373367 1389134669 1657668818 2422746734 2486503227 2778269338 3634120101 4167404007 4973006454 6821944751 7268240202 8334808014 13643889502 15747853771 20465834253 31495707542 40931668506 47243561313 88685281763 94487122626 129616950269 177370563526 259233900538 266055845289 388850850807 532111690578 777701701614 1685020353497 3370040706994 5055061060491 10110122120982