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11201231022000 = 243533834874339
BaseRepresentation
bin1010001011111111110101…
…1001010110011110110000
31110122211100001022202112020
42202333331121112132300
52432010110120201000
635453435142431440
72234155642511625
oct242777531263660
943584301282466
1011201231022000
113629462995168
12130aa59732580
1363336b7a98c6
142aa1dcd4034c
15146582c45ba0
hexa2ffd6567b0

11201231022000 has 160 divisors (see below), whose sum is σ = 36207065456640. Its totient is φ = 2979195385600.

The previous prime is 11201231021987. The next prime is 11201231022001. The reversal of 11201231022000 is 22013210211.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (11201231022001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139170 + ... + 4735169.

It is an arithmetic number, because the mean of its divisors is an integer number (226294159104).

Almost surely, 211201231022000 is an apocalyptic number.

11201231022000 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 11201231022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18103532728320).

11201231022000 is an abundant number, since it is smaller than the sum of its proper divisors (25005834434640).

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

11201231022000 is a wasteful number, since it uses less digits than its factorization.

11201231022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4874748 (or 4874732 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 11201231022000 its reverse (22013210211), we get a palindrome (11223244232211).

The spelling of 11201231022000 in words is "eleven trillion, two hundred one billion, two hundred thirty-one million, twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 383 400 500 600 750 766 1000 1149 1200 1500 1532 1915 2000 2298 3000 3064 3830 4596 5745 6000 6128 7660 9192 9575 11490 15320 18384 19150 22980 28725 30640 38300 45960 47875 57450 76600 91920 95750 114900 143625 153200 191500 229800 287250 383000 459600 574500 766000 1149000 2298000 4874339 9748678 14623017 19497356 24371695 29246034 38994712 48743390 58492068 73115085 77989424 97486780 116984136 121858475 146230170 194973560 233968272 243716950 292460340 365575425 389947120 487433900 584920680 609292375 731150850 974867800 1169841360 1218584750 1462301700 1827877125 1866871837 1949735600 2437169500 2924603400 3655754250 3733743674 4874339000 5600615511 5849206800 7311508500 7467487348 9334359185 9748678000 11201231022 14623017000 14934974696 18668718370 22402462044 28003077555 29246034000 29869949392 37337436740 44804924088 46671795925 56006155110 74674873480 89609848176 93343591850 112012310220 140015387775 149349746960 186687183700 224024620440 233358979625 280030775550 373374367400 448049240880 466717959250 560061551100 700076938875 746748734800 933435918500 1120123102200 1400153877750 1866871837000 2240246204400 2800307755500 3733743674000 5600615511000 11201231022000