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11010320020120 = 23537337121318199
BaseRepresentation
bin1010000000111000101000…
…1101101011001010011000
31102222120120010121000111211
42200032022031223022120
52420343113411120440
635230023213232504
72214316664666461
oct240161215531230
942876503530454
1011010320020120
1135654a5681863
121299a59a92734
1361b3654cb935
142a0c8bdddd68
1514160c6cceea
hexa038a36b298

11010320020120 has 128 divisors (see below), whose sum is σ = 25540705008000. Its totient is φ = 4268625371136.

The previous prime is 11010320020111. The next prime is 11010320020153. The reversal of 11010320020120 is 2102002301011.

It is a self number, because there is not a number n which added to its sum of digits gives 11010320020120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 604986781 + ... + 605004979.

It is an arithmetic number, because the mean of its divisors is an integer number (199536757875).

Almost surely, 211010320020120 is an apocalyptic number.

11010320020120 is a gapful number since it is divisible by the number (10) 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 11010320020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12770352504000).

11010320020120 is an abundant number, since it is smaller than the sum of its proper divisors (14530384987880).

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

11010320020120 is a wasteful number, since it uses less digits than its factorization.

11010320020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19797 (or 19793 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 11010320020120 its reverse (2102002301011), we get a palindrome (13112322321131).

The spelling of 11010320020120 in words is "eleven trillion, ten billion, three hundred twenty million, twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 337 370 674 740 1213 1348 1480 1685 2426 2696 3370 4852 6065 6740 9704 12130 12469 13480 18199 24260 24938 36398 44881 48520 49876 62345 72796 89762 90995 99752 124690 145592 179524 181990 224405 249380 359048 363980 408781 448810 498760 673363 727960 817562 897620 1346726 1635124 1795240 2043905 2693452 3270248 3366815 4087810 5386904 6133063 6733630 8175620 12266126 13467260 15124897 16351240 22075387 24532252 26934520 30249794 30665315 44150774 49064504 60499588 61330630 75624485 88301548 110376935 120999176 122661260 151248970 176603096 220753870 226923331 245322520 302497940 441507740 453846662 604995880 816789319 883015480 907693324 1134616655 1633578638 1815386648 2269233310 3267157276 4083946595 4538466620 6534314552 7439405419 8167893190 9076933240 14878810838 16335786380 29757621676 32671572760 37197027095 59515243352 74394054190 148788108380 275258000503 297576216760 550516001006 1101032002012 1376290002515 2202064004024 2752580005030 5505160010060 11010320020120