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11120022320 = 24511171674451
BaseRepresentation
bin10100101101100111…
…00001001100110000
31001200222021122220112
422112303201030300
5140233211203240
65035232400452
7542364426101
oct122663411460
931628248815
1011120022320
114796a653a0
1221a40a6128
131082a5b784
14776bd43a8
1545139b665
hex296ce1330

11120022320 has 160 divisors (see below), whose sum is σ = 30049076736. Its totient is φ = 3782144000.

The previous prime is 11120022311. The next prime is 11120022323. The reversal of 11120022320 is 2322002111.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11120022295 and 11120022304.

It is not an unprimeable number, because it can be changed into a prime (11120022323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2496095 + ... + 2500545.

Almost surely, 211120022320 is an apocalyptic number.

11120022320 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 11120022320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15024538368).

11120022320 is an abundant number, since it is smaller than the sum of its proper divisors (18929054416).

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

11120022320 is a wasteful number, since it uses less digits than its factorization.

11120022320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4659 (or 4653 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 11120022320 its reverse (2322002111), we get a palindrome (13442024431).

The spelling of 11120022320 in words is "eleven billion, one hundred twenty million, twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 34 40 44 55 68 80 85 88 110 136 167 170 176 187 220 272 334 340 374 440 668 680 748 835 880 935 1336 1360 1496 1670 1837 1870 2672 2839 2992 3340 3674 3740 4451 5678 6680 7348 7480 8902 9185 11356 13360 14195 14696 14960 17804 18370 22255 22712 28390 29392 31229 35608 36740 44510 45424 48961 56780 62458 71216 73480 75667 89020 97922 113560 124916 146960 151334 156145 178040 195844 227120 244805 249832 302668 312290 356080 378335 391688 489610 499664 605336 624580 743317 756670 783376 832337 979220 1210672 1249160 1486634 1513340 1664674 1958440 2498320 2973268 3026680 3329348 3716585 3916880 4161685 5946536 6053360 6658696 7433170 8176487 8323370 11893072 12636389 13317392 14866340 16352974 16646740 25272778 29732680 32705948 33293480 40882435 50545556 59465360 63181945 65411896 66586960 81764870 101091112 126363890 130823792 139000279 163529740 202182224 252727780 278000558 327059480 505455560 556001116 654118960 695001395 1010911120 1112002232 1390002790 2224004464 2780005580 5560011160 11120022320