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1101038220 = 2232519437487
BaseRepresentation
bin100000110100000…
…1000001010001100
32211201210112111100
41001220020022030
54223331210340
6301131023100
736166445652
oct10150101214
92751715440
101101038220
11515564347
1226889aa90
13147155409
14a632cdd2
15669dd830
hex41a0828c

1101038220 has 144 divisors (see below), whose sum is σ = 3597834240. Its totient is φ = 271651968.

The previous prime is 1101038209. The next prime is 1101038293. The reversal of 1101038220 is 228301011.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1101038193 and 1101038202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 143317 + ... + 150803.

It is an arithmetic number, because the mean of its divisors is an integer number (24984960).

Almost surely, 21101038220 is an apocalyptic number.

1101038220 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 1101038220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1798917120).

1101038220 is an abundant number, since it is smaller than the sum of its proper divisors (2496796020).

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

1101038220 is a wasteful number, since it uses less digits than its factorization.

1101038220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7564 (or 7559 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1101038220 is about 33181.8959675302. The cubic root of 1101038220 is about 1032.6047811708.

Adding to 1101038220 its reverse (228301011), we get a palindrome (1329339231).

The spelling of 1101038220 in words is "one billion, one hundred one million, thirty-eight thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 43 45 57 60 76 86 90 95 114 129 171 172 180 190 215 228 258 285 342 380 387 430 516 570 645 684 774 817 855 860 1140 1290 1548 1634 1710 1935 2451 2580 3268 3420 3870 4085 4902 7353 7487 7740 8170 9804 12255 14706 14974 16340 22461 24510 29412 29948 36765 37435 44922 49020 67383 73530 74870 89844 112305 134766 142253 147060 149740 224610 269532 284506 321941 336915 426759 449220 569012 643882 673830 711265 853518 965823 1280277 1287764 1347660 1422530 1609705 1707036 1931646 2133795 2560554 2845060 2897469 3219410 3863292 4267590 4829115 5121108 5794938 6116879 6401385 6438820 8535180 9658230 11589876 12233758 12802770 14487345 18350637 19316460 24467516 25605540 28974690 30584395 36701274 55051911 57949380 61168790 73402548 91753185 110103822 122337580 183506370 220207644 275259555 367012740 550519110 1101038220