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11212311021032 = 23115979136719997
BaseRepresentation
bin1010001100101001000111…
…0100001100010111101000
31110200212221020022000210202
42203022101310030113220
52432200303110133112
635502510425331332
72235030343115042
oct243122164142750
943625836260722
1011212311021032
1136331292a3460
121311030336b48
13634416164054
142aa9706b6a92
151469d08386c2
hexa3291d0c5e8

11212311021032 has 128 divisors (see below), whose sum is σ = 23636676096000. Its totient is φ = 4942838434560.

The previous prime is 11212311021011. The next prime is 11212311021077. The reversal of 11212311021032 is 23012011321211.

It is a junction number, because it is equal to n+sod(n) for n = 11212311020995 and 11212311021013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 560689658 + ... + 560709654.

It is an arithmetic number, because the mean of its divisors is an integer number (184661532000).

Almost surely, 211212311021032 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 11212311021032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11818338048000).

11212311021032 is an abundant number, since it is smaller than the sum of its proper divisors (12424365074968).

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

11212311021032 is a wasteful number, since it uses less digits than its factorization.

11212311021032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21519 (or 21515 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 11212311021032 its reverse (23012011321211), we get a palindrome (34224322342243).

The spelling of 11212311021032 in words is "eleven trillion, two hundred twelve billion, three hundred eleven million, twenty-one thousand, thirty-two".

Divisors: 1 2 4 8 11 22 44 59 79 88 118 158 236 316 472 632 649 869 1298 1367 1738 2596 2734 3476 4661 5192 5468 6952 9322 10936 15037 18644 19997 30074 37288 39994 51271 60148 79988 80653 102542 107993 120296 159976 161306 205084 215986 219967 322612 410168 431972 439934 645224 863944 879868 887183 1179823 1187923 1579763 1759736 1774366 2359646 2375846 3159526 3548732 4719292 4751692 6319052 6371587 7097464 9438584 9503384 12638104 12743174 12978053 17377393 25486348 25956106 27335899 34754786 50972696 51912212 54671798 69509572 70087457 93206017 103824424 109343596 139019144 140174914 186412034 218687192 280349828 300694889 372824068 560699656 601389778 745648136 1025266187 1202779556 1612818041 2050532374 2159536021 2405559112 3225636082 4101064748 4319072042 6451272164 8202129496 8638144084 12902544328 17276288168 17740998451 23754896231 35481996902 47509792462 70963993804 95019584924 127412625239 141927987608 190039169848 254825250478 509650500956 1019301001912 1401538877629 2803077755258 5606155510516 11212311021032