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11122121040 = 2435232014877
BaseRepresentation
bin10100101101110111…
…00001100101010000
31001201010020021210220
422112323201211100
5140234230333130
65035345353040
7542421316602
oct122673414520
931633207726
1011122121040
114798169178
1221a4938780
131083314b14
147771bd172
15451663410
hex296ee1950

11122121040 has 80 divisors (see below), whose sum is σ = 35977661568. Its totient is φ = 2836945408.

The previous prime is 11122120981. The next prime is 11122121047. The reversal of 11122121040 is 4012122111.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11122121047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1001919 + ... + 1012958.

Almost surely, 211122121040 is an apocalyptic number.

11122121040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11122121040 is an abundant number, since it is smaller than the sum of its proper divisors (24855540528).

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

11122121040 is a wasteful number, since it uses less digits than its factorization.

11122121040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2014916 (or 2014910 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 11122121040 its reverse (4012122111), we get a palindrome (15134243151).

The spelling of 11122121040 in words is "eleven billion, one hundred twenty-two million, one hundred twenty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 690 920 1104 1380 1840 2760 5520 2014877 4029754 6044631 8059508 10074385 12089262 16119016 20148770 24178524 30223155 32238032 40297540 46342171 48357048 60446310 80595080 92684342 96714096 120892620 139026513 161190160 185368684 231710855 241785240 278053026 370737368 463421710 483570480 556106052 695132565 741474736 926843420 1112212104 1390265130 1853686840 2224424208 2780530260 3707373680 5561060520 11122121040