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11302013120 = 2651012411451
BaseRepresentation
bin10101000011010011…
…10000100011000000
31002011122201202100112
422201221300203000
5141121303404440
65105253210452
7550034345366
oct124151604300
932148652315
1011302013120
11487a767812
122235030a28
1310b167b838
14793049636
15462349965
hex2a1a708c0

11302013120 has 112 divisors (see below), whose sum is σ = 27310970016. Its totient is φ = 4454400000.

The previous prime is 11302013089. The next prime is 11302013123. The reversal of 11302013120 is 2131020311.

It is a junction number, because it is equal to n+sod(n) for n = 11302013095 and 11302013104.

It is not an unprimeable number, because it can be changed into a prime (11302013123) 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, 7788395 + ... + 7789845.

Almost surely, 211302013120 is an apocalyptic number.

11302013120 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 11302013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13655485008).

11302013120 is an abundant number, since it is smaller than the sum of its proper divisors (16008956896).

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

11302013120 is a wasteful number, since it uses less digits than its factorization.

11302013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1810 (or 1800 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 11302013120 its reverse (2131020311), we get a palindrome (13433033431).

The spelling of 11302013120 in words is "eleven billion, three hundred two million, thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 101 160 202 241 320 404 482 505 808 964 1010 1205 1451 1616 1928 2020 2410 2902 3232 3856 4040 4820 5804 6464 7255 7712 8080 9640 11608 14510 15424 16160 19280 23216 24341 29020 32320 38560 46432 48682 58040 77120 92864 97364 116080 121705 146551 194728 232160 243410 293102 349691 389456 464320 486820 586204 699382 732755 778912 973640 1172408 1398764 1465510 1557824 1748455 1947280 2344816 2797528 2931020 3496910 3894560 4689632 5595056 5862040 6993820 7789120 9379264 11190112 11724080 13987640 22380224 23448160 27975280 35318791 46896320 55950560 70637582 111901120 141275164 176593955 282550328 353187910 565100656 706375820 1130201312 1412751640 2260402624 2825503280 5651006560 11302013120