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11220112011000 = 2335323162610319
BaseRepresentation
bin1010001101000110001011…
…0010100110111011111000
31110201122001220020101021010
42203101202302212323320
52432312242133323000
635510240455513520
72235424556333034
oct243214262467370
943648056211233
1011220112011000
1136364717a4702
1213126489888a0
1363508a3a8649
142ab0b07791c4
15146cda622d50
hexa3462ca6ef8

11220112011000 has 128 divisors (see below), whose sum is σ = 36528782284800. Its totient is φ = 2861941596800.

The previous prime is 11220112010969. The next prime is 11220112011013. The reversal of 11220112011000 is 11021102211.

11220112011000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 81236160 + ... + 81374159.

It is an arithmetic number, because the mean of its divisors is an integer number (285381111600).

Almost surely, 211220112011000 is an apocalyptic number.

11220112011000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11220112011000 is an abundant number, since it is smaller than the sum of its proper divisors (25308670273800).

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

11220112011000 is a wasteful number, since it uses less digits than its factorization.

11220112011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162610366 (or 162610352 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11220112011000 its reverse (11021102211), we get a palindrome (11231133113211).

The spelling of 11220112011000 in words is "eleven trillion, two hundred twenty billion, one hundred twelve million, eleven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 25 30 40 46 50 60 69 75 92 100 115 120 125 138 150 184 200 230 250 276 300 345 375 460 500 552 575 600 690 750 920 1000 1150 1380 1500 1725 2300 2760 2875 3000 3450 4600 5750 6900 8625 11500 13800 17250 23000 34500 69000 162610319 325220638 487830957 650441276 813051595 975661914 1300882552 1626103190 1951323828 2439154785 3252206380 3740037337 3902647656 4065257975 4878309570 6504412760 7480074674 8130515950 9756619140 11220112011 12195773925 14960149348 16261031900 18700186685 19513238280 20326289875 22440224022 24391547850 29920298696 32522063800 37400373370 40652579750 44880448044 48783095700 56100560055 60978869625 74800746740 81305159500 89760896088 93500933425 97566191400 112201120110 121957739250 149601493480 162610319000 187001866850 224402240220 243915478500 280502800275 374003733700 448804480440 467504667125 487830957000 561005600550 748007467400 935009334250 1122011201100 1402514001375 1870018668500 2244022402200 2805028002750 3740037337000 5610056005500 11220112011000