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11201102212212 = 223211413731849579
BaseRepresentation
bin1010001011111111010110…
…1101111110110001110100
31110122211000001221112201100
42202333311231332301310
52432004324131242322
635453414301530100
72234152516606113
oct242776555766164
943584001845640
1011201102212212
1136293a72064a0
12130aa22573930
1363334abb9ab3
142aa1c9badc7a
1514657679edac
hexa2ff5b7ec74

11201102212212 has 144 divisors (see below), whose sum is σ = 31726097282880. Its totient is φ = 3302606476800.

The previous prime is 11201102212187. The next prime is 11201102212241. The reversal of 11201102212212 is 21221220110211.

11201102212212 is a `hidden beast` number, since 1 + 120 + 110 + 221 + 2 + 212 = 666.

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 47 ways as a sum of consecutive naturals, for example, 5131239 + ... + 6980817.

It is an arithmetic number, because the mean of its divisors is an integer number (220320120020).

Almost surely, 211201102212212 is an apocalyptic number.

11201102212212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11201102212212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15863048641440).

11201102212212 is an abundant number, since it is smaller than the sum of its proper divisors (20524995070668).

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

11201102212212 is a wasteful number, since it uses less digits than its factorization.

11201102212212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1850014 (or 1850009 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 11201102212212 its reverse (21221220110211), we get a palindrome (32422322322423).

The spelling of 11201102212212 in words is "eleven trillion, two hundred one billion, one hundred two million, two hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 41 44 66 82 99 123 132 164 198 246 369 373 396 451 492 738 746 902 1119 1353 1476 1492 1804 2238 2706 3357 4059 4103 4476 5412 6714 8118 8206 12309 13428 15293 16236 16412 24618 30586 36927 45879 49236 61172 73854 91758 137637 147708 168223 183516 275274 336446 504669 550548 672892 1009338 1514007 1849579 2018676 3028014 3699158 5548737 6056028 7398316 11097474 16646211 20345369 22194948 33292422 40690738 61036107 66584844 75832739 81381476 122072214 151665478 183108321 227498217 244144428 303330956 366216642 454996434 682494651 689892967 732433284 834160129 909992868 1364989302 1379785934 1668320258 2069678901 2502480387 2729978604 2759571868 3336640516 4139357802 5004960774 6209036703 7507441161 7588822637 8278715604 10009921548 12418073406 15014882322 15177645274 22766467911 24836146812 28285611647 30029764644 30355290548 45532935822 56571223294 68299403733 84856834941 91065871644 113142446588 136598807466 169713669882 254570504823 273197614932 311141728117 339427339764 509141009646 622283456234 933425184351 1018282019292 1244566912468 1866850368702 2800275553053 3733700737404 5600551106106 11201102212212