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12011102010102 = 231373137149310313
BaseRepresentation
bin1010111011001000110101…
…1101111111101011110110
31120112020202100110122120210
42232302031131333223312
53033242214103310402
641313454000410250
72346526206361626
oct256621535775366
946466670418523
1012011102010102
113910974a57368
12141b9b9916986
136918467b2930
142d74aa244886
1515c68291006c
hexaec8d77faf6

12011102010102 has 128 divisors (see below), whose sum is σ = 26436125955456. Its totient is φ = 3615716524032.

The previous prime is 12011102010097. The next prime is 12011102010109. The reversal of 12011102010102 is 20101020111021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12011102010109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1164651298 + ... + 1164661610.

It is an arithmetic number, because the mean of its divisors is an integer number (206532234027).

Almost surely, 212011102010102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12011102010102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13218062977728).

12011102010102 is an abundant number, since it is smaller than the sum of its proper divisors (14425023945354).

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

12011102010102 is a wasteful number, since it uses less digits than its factorization.

12011102010102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12034.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12011102010102 its reverse (20101020111021), we get a palindrome (32112122121123).

The spelling of 12011102010102 in words is "twelve trillion, eleven billion, one hundred two million, ten thousand, one hundred two".

Divisors: 1 2 3 6 13 26 39 73 78 137 146 219 274 411 438 822 949 1493 1781 1898 2847 2986 3562 4479 5343 5694 8958 10001 10313 10686 19409 20002 20626 30003 30939 38818 58227 60006 61878 108989 116454 130013 134069 204541 217978 260026 268138 326967 390039 402207 409082 613623 653934 752849 780078 804414 1227246 1412881 1416857 1505698 2258547 2659033 2825762 2833714 4238643 4250571 4517094 5318066 7977099 8477286 8501142 9787037 14931493 15397309 15954198 18367453 19574074 29361111 29862986 30794618 36734906 44794479 46191927 55102359 58722222 89588958 92383854 103140313 110204718 194109409 200165017 206280626 309420939 388218818 400330034 582328227 600495051 618841878 1124003557 1164656454 1200990102 1340824069 2109431333 2248007114 2681648138 3372010671 4022472207 4218862666 6328293999 6744021342 8044944414 12656587998 14612046241 27422607329 29224092482 43836138723 54845214658 82267821987 87672277446 153988487309 164535643974 307976974618 461965461927 923930923854 2001850335017 4003700670034 6005551005051 12011102010102