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11130402000 = 2435310118367
BaseRepresentation
bin10100101110110110…
…00111010011010000
31001201200211000011010
422113123013103100
5140243340331000
65040243050520
7542551566414
oct122733072320
931650730133
1011130402000
1147a1904843
1221a7670a40
131084c540b3
14778336d44
1545224bd50
hex2976c74d0

11130402000 has 160 divisors (see below), whose sum is σ = 36241680384. Its totient is φ = 2938560000.

The previous prime is 11130401999. The next prime is 11130402011. The reversal of 11130402000 is 20403111.

It is a happy number.

11130402000 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 596817 + ... + 615183.

Almost surely, 211130402000 is an apocalyptic number.

11130402000 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 11130402000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18120840192).

11130402000 is an abundant number, since it is smaller than the sum of its proper divisors (25111278384).

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

11130402000 is a wasteful number, since it uses less digits than its factorization.

11130402000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18494 (or 18478 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 11130402000 its reverse (20403111), we get a palindrome (11150805111).

The spelling of 11130402000 in words is "eleven billion, one hundred thirty million, four hundred two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 101 120 125 150 200 202 240 250 300 303 375 400 404 500 505 600 606 750 808 1000 1010 1200 1212 1500 1515 1616 2000 2020 2424 2525 3000 3030 4040 4848 5050 6000 6060 7575 8080 10100 12120 12625 15150 18367 20200 24240 25250 30300 36734 37875 40400 50500 55101 60600 73468 75750 91835 101000 110202 121200 146936 151500 183670 202000 220404 275505 293872 303000 367340 440808 459175 551010 606000 734680 881616 918350 1102020 1377525 1469360 1836700 1855067 2204040 2295875 2755050 3673400 3710134 4408080 4591750 5510100 5565201 6887625 7346800 7420268 9183500 9275335 11020200 11130402 13775250 14840536 18367000 18550670 22040400 22260804 27550500 27826005 29681072 36734000 37101340 44521608 46376675 55101000 55652010 74202680 89043216 92753350 110202000 111304020 139130025 148405360 185506700 222608040 231883375 278260050 371013400 445216080 463766750 556520100 695650125 742026800 927533500 1113040200 1391300250 1855067000 2226080400 2782600500 3710134000 5565201000 11130402000