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11132221032330 = 2352943929999719
BaseRepresentation
bin1010000111111110110000…
…0101001000011110001010
31110102020012121212001111220
42201333230011020132022
52424342242041013310
635402023255102510
72226163546335516
oct241775405103612
943366177761456
1011132221032330
11360216a613552
1212b95ba371a36
136299c14b24a8
142a6b339d5146
151448944e1670
hexa1fec14878a

11132221032330 has 128 divisors (see below), whose sum is σ = 27713664000000. Its totient is φ = 2858450343168.

The previous prime is 11132221032311. The next prime is 11132221032371. The reversal of 11132221032330 is 3323012223111.

It is a super-2 number, since 2×111322210323302 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11132221032330.

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, 1145403211 + ... + 1145412929.

It is an arithmetic number, because the mean of its divisors is an integer number (216513000000).

Almost surely, 211132221032330 is an apocalyptic number.

11132221032330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11132221032330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13856832000000).

11132221032330 is an abundant number, since it is smaller than the sum of its proper divisors (16581442967670).

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

11132221032330 is a wasteful number, since it uses less digits than its factorization.

11132221032330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13196.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 11132221032330 its reverse (3323012223111), we get a palindrome (14455233255441).

The spelling of 11132221032330 in words is "eleven trillion, one hundred thirty-two billion, two hundred twenty-one million, thirty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 145 174 290 435 439 870 878 1317 2195 2634 2999 4390 5998 6585 8997 9719 12731 13170 14995 17994 19438 25462 29157 29990 38193 44985 48595 58314 63655 76386 86971 89970 97190 127310 145785 173942 190965 260913 281851 291570 381930 434855 521826 563702 845553 869710 1304565 1316561 1409255 1691106 2609130 2633122 2818510 3949683 4227765 4266641 6582805 7899366 8455530 8533282 12799923 13165610 19748415 21333205 25599846 29147281 38180269 39496830 42666410 58294562 63999615 76360538 87441843 114540807 123732589 127999230 145736405 174883686 190901345 229081614 247465178 291472810 371197767 381802690 437209215 572704035 618662945 742395534 845271149 874418430 1145408070 1237325890 1690542298 1855988835 2535813447 3711977670 4226355745 5071626894 8452711490 12679067235 12795656359 25358134470 25591312718 38386969077 63978281795 76773938154 127956563590 191934845385 371074034411 383869690770 742148068822 1113222103233 1855370172055 2226444206466 3710740344110 5566110516165 11132221032330