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11021331101120 = 2652411373104087
BaseRepresentation
bin1010000001100001101010…
…0001100111010111000000
31110000121222111212220000122
42200120122201213113000
52421033141230213440
635235043555035412
72215156600433444
oct240303241472700
943017874786018
1011021331101120
11356a1360989aa
1212a001159bb68
1361c3cb805b92
142a1614556824
15141a5420a7b5
hexa061a8675c0

11021331101120 has 112 divisors (see below), whose sum is σ = 26372890640448. Its totient is φ = 4387000074240.

The previous prime is 11021331101057. The next prime is 11021331101153. The reversal of 11021331101120 is 2110113312011.

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 15 ways as a sum of consecutive naturals, for example, 105833717 + ... + 105937803.

Almost surely, 211021331101120 is an apocalyptic number.

11021331101120 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 11021331101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13186445320224).

11021331101120 is an abundant number, since it is smaller than the sum of its proper divisors (15351559539328).

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

11021331101120 is a wasteful number, since it uses less digits than its factorization.

11021331101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105718 (or 105708 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 11021331101120 its reverse (2110113312011), we get a palindrome (13131444413131).

The spelling of 11021331101120 in words is "eleven trillion, twenty-one billion, three hundred thirty-one million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 241 320 482 964 1205 1373 1928 2410 2746 3856 4820 5492 6865 7712 9640 10984 13730 15424 19280 21968 27460 38560 43936 54920 77120 87872 104087 109840 208174 219680 330893 416348 439360 520435 661786 832696 1040870 1323572 1654465 1665392 2081740 2647144 3308930 3330784 4163480 5294288 6617860 6661568 8326960 10588576 13235720 16653920 21177152 25084967 26471440 33307840 50169934 52942880 100339868 105885760 125424835 142911451 200679736 250849670 285822902 401359472 501699340 571645804 714557255 802718944 1003398680 1143291608 1429114510 1605437888 2006797360 2286583216 2858229020 4013594720 4573166432 5716458040 8027189440 9146332864 11432916080 22865832160 34441659691 45731664320 68883319382 137766638764 172208298455 275533277528 344416596910 551066555056 688833193820 1102133110112 1377666387640 2204266220224 2755332775280 5510665550560 11021331101120