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11140021242 = 2327899471049
BaseRepresentation
bin10100101111111111…
…10011101111111010
31001202100220201021100
422113333303233322
5140303321134432
65041225152230
7543026422020
oct122777635772
931670821240
1011140021242
1147a7284929
1221aa92b676
131086c4155c
1477971c710
15452eec07c
hex297ff3bfa

11140021242 has 96 divisors (see below), whose sum is σ = 27950832000. Its totient is φ = 3140780544.

The previous prime is 11140021231. The next prime is 11140021247. The reversal of 11140021242 is 24212004111.

11140021242 is a `hidden beast` number, since 1 + 1 + 1 + 400 + 21 + 242 = 666.

It is a super-2 number, since 2×111400212422 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11140021247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10619134 + ... + 10620182.

It is an arithmetic number, because the mean of its divisors is an integer number (291154500).

Almost surely, 211140021242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11140021242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13975416000).

11140021242 is an abundant number, since it is smaller than the sum of its proper divisors (16810810758).

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

11140021242 is a wasteful number, since it uses less digits than its factorization.

11140021242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2100 (or 2097 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 11140021242 its reverse (24212004111), we get a palindrome (35352025353).

The spelling of 11140021242 in words is "eleven billion, one hundred forty million, twenty-one thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 89 126 178 267 534 623 801 947 1049 1246 1602 1869 1894 2098 2841 3147 3738 5607 5682 6294 6629 7343 8523 9441 11214 13258 14686 17046 18882 19887 22029 39774 44058 59661 66087 84283 93361 119322 132174 168566 186722 252849 280083 505698 560166 589981 653527 758547 840249 993403 1179962 1307054 1517094 1680498 1769943 1960581 1986806 2980209 3539886 3921162 5309829 5881743 5960418 6953821 8940627 10619658 11763486 13907642 17881254 20861463 41722926 62584389 88412867 125168778 176825734 265238601 530477202 618890069 795715803 1237780138 1591431606 1856670207 3713340414 5570010621 11140021242