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2111222001112 = 23736779145361
BaseRepresentation
bin11110101110001110101…
…000110010110111011000
321110211102200122220201121
4132232032220302313120
5234042240313013422
64253514302255024
7305350022626000
oct36561650626730
97424380586647
102111222001112
11744400864474
122a1203b87474
13124119c89953
147428008d000
1539db75098c7
hex1eb8ea32dd8

2111222001112 has 128 divisors (see below), whose sum is σ = 4744615680000. Its totient is φ = 880016417280.

The previous prime is 2111222000977. The next prime is 2111222001149. The reversal of 2111222001112 is 2111002221112.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 14451312 + ... + 14596672.

It is an arithmetic number, because the mean of its divisors is an integer number (37067310000).

Almost surely, 22111222001112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2111222001112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2372307840000).

2111222001112 is an abundant number, since it is smaller than the sum of its proper divisors (2633393678888).

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

2111222001112 is a wasteful number, since it uses less digits than its factorization.

2111222001112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145534 (or 145516 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 2111222001112 its reverse (2111002221112), we get a palindrome (4222224222224).

The spelling of 2111222001112 in words is "two trillion, one hundred eleven billion, two hundred twenty-two million, one thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 28 49 56 67 79 98 134 158 196 268 316 343 392 469 536 553 632 686 938 1106 1372 1876 2212 2744 3283 3752 3871 4424 5293 6566 7742 10586 13132 15484 21172 22981 26264 27097 30968 37051 42344 45962 54194 74102 91924 108388 145361 148204 183848 216776 259357 290722 296408 518714 581444 1017527 1037428 1162888 1815499 2035054 2074856 3630998 4070108 7122689 7261996 8140216 9739187 11483519 14245378 14523992 19478374 22967038 28490756 38956748 45934076 49858823 56981512 68174309 77913496 80384633 91868152 99717646 136348618 160769266 199435292 272697236 321538532 398870584 477220163 545394472 562692431 643077064 769395773 954440326 1125384862 1538791546 1908880652 2250769724 3077583092 3340541141 3817761304 3938847017 4501539448 5385770411 6155166184 6681082282 7877694034 10771540822 13362164564 15755388068 21543081644 26724329128 31510776136 37700392877 43086163288 75400785754 150801571508 263902750139 301603143016 527805500278 1055611000556 2111222001112