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11302120120 = 2352931674691
BaseRepresentation
bin10101000011010100…
…01010101010111000
31002011122221012010111
422201222022222320
5141121320320440
65105255354104
7550035302344
oct124152125270
932148835114
1011302120120
11487a830145
122235082934
1310b16b8455
14793076624
1546236b4ea
hex2a1a8aab8

11302120120 has 128 divisors (see below), whose sum is σ = 27566438400. Its totient is φ = 4160217600.

The previous prime is 11302120103. The next prime is 11302120139. The reversal of 11302120120 is 2102120311.

It is a self number, because there is not a number n which added to its sum of digits gives 11302120120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2406975 + ... + 2411665.

It is an arithmetic number, because the mean of its divisors is an integer number (215362800).

Almost surely, 211302120120 is an apocalyptic number.

11302120120 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 11302120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13783219200).

11302120120 is an abundant number, since it is smaller than the sum of its proper divisors (16264318280).

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

11302120120 is a wasteful number, since it uses less digits than its factorization.

11302120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4829 (or 4825 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 11302120120 its reverse (2102120311), we get a palindrome (13404240431).

The spelling of 11302120120 in words is "eleven billion, three hundred two million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 31 40 58 62 67 116 124 134 145 155 232 248 268 290 310 335 536 580 620 670 899 1160 1240 1340 1798 1943 2077 2680 3596 3886 4154 4495 4691 7192 7772 8308 8990 9382 9715 10385 15544 16616 17980 18764 19430 20770 23455 35960 37528 38860 41540 46910 60233 77720 83080 93820 120466 136039 145421 187640 240932 272078 290842 301165 314297 481864 544156 581684 602330 628594 680195 727105 1088312 1163368 1204660 1257188 1360390 1454210 1571485 2409320 2514376 2720780 2908420 3142970 4217209 5441560 5816840 6285940 8434418 9114613 9743207 12571880 16868836 18229226 19486414 21086045 33737672 36458452 38972828 42172090 45573065 48716035 72916904 77945656 84344180 91146130 97432070 168688360 182292260 194864140 282553003 364584520 389728280 565106006 1130212012 1412765015 2260424024 2825530030 5651060060 11302120120