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11102123142 = 2331147547727
BaseRepresentation
bin10100101011011110…
…01111010010000110
31001122201121021212000
422111233033102012
5140214120420032
65033353010130
7542056326645
oct122557172206
931581537760
1011102123142
11478794a490
12219a0b3946
13107c132646
1477469535c
1544ea12e7c
hex295bcf486

11102123142 has 128 divisors (see below), whose sum is σ = 27575009280. Its totient is φ = 3282158880.

The previous prime is 11102123129. The next prime is 11102123191. The reversal of 11102123142 is 24132120111.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15270783 + ... + 15271509.

It is an arithmetic number, because the mean of its divisors is an integer number (215429760).

Almost surely, 211102123142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11102123142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13787504640).

11102123142 is an abundant number, since it is smaller than the sum of its proper divisors (16472886138).

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

11102123142 is a wasteful number, since it uses less digits than its factorization.

11102123142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1343 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11102123142 its reverse (24132120111), we get a palindrome (35234243253).

The spelling of 11102123142 in words is "eleven billion, one hundred two million, one hundred twenty-three thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 47 54 66 94 99 141 198 282 297 423 517 547 594 727 846 1034 1094 1269 1454 1551 1641 2181 2538 3102 3282 4362 4653 4923 6017 6543 7997 9306 9846 12034 13086 13959 14769 15994 18051 19629 23991 25709 27918 29538 34169 36102 39258 47982 51418 54153 68338 71973 77127 102507 108306 143946 154254 162459 205014 215919 231381 282799 307521 324918 375859 397669 431838 462762 565598 615042 694143 751718 795338 848397 922563 1127577 1193007 1388286 1696794 1845126 2255154 2386014 2545191 3382731 3579021 4374359 5090382 6765462 7158042 7635573 8748718 10148193 10737063 13123077 15271146 18690443 20296386 21474126 26246154 37380886 39369231 56071329 78738462 112142658 118107693 168213987 205594873 236215386 336427974 411189746 504641961 616784619 1009283922 1233569238 1850353857 3700707714 5551061571 11102123142