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11142455340 = 22352310179943
BaseRepresentation
bin10100110000010010…
…00110000000101100
31001202112111101020010
422120021012000230
5140304432032330
65041353253220
7543056210352
oct123011060054
931675441203
1011142455340
1147a8697685
1221ab704210
1310875b4453
14779b937d2
1545332d3b0
hex29824602c

11142455340 has 96 divisors (see below), whose sum is σ = 32878089216. Its totient is φ = 2813958400.

The previous prime is 11142455327. The next prime is 11142455351. The reversal of 11142455340 is 4355424111.

It is a super-2 number, since 2×111424553402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11142455298 and 11142455307.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99409 + ... + 179351.

It is an arithmetic number, because the mean of its divisors is an integer number (342480096).

Almost surely, 211142455340 is an apocalyptic number.

11142455340 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 11142455340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16439044608).

11142455340 is an abundant number, since it is smaller than the sum of its proper divisors (21735633876).

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

11142455340 is a wasteful number, since it uses less digits than its factorization.

11142455340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80079 (or 80077 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 11142455340 its reverse (4355424111), we get a palindrome (15497879451).

The spelling of 11142455340 in words is "eleven billion, one hundred forty-two million, four hundred fifty-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 101 115 138 202 230 276 303 345 404 460 505 606 690 1010 1212 1380 1515 2020 2323 3030 4646 6060 6969 9292 11615 13938 23230 27876 34845 46460 69690 79943 139380 159886 239829 319772 399715 479658 799430 959316 1199145 1598860 1838689 2398290 3677378 4796580 5516067 7354756 8074243 9193445 11032134 16148486 18386890 22064268 24222729 27580335 32296972 36773780 40371215 48445458 55160670 80742430 96890916 110321340 121113645 161484860 185707589 242227290 371415178 484454580 557122767 742830356 928537945 1114245534 1857075890 2228491068 2785613835 3714151780 5571227670 11142455340