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11010103320 = 23353719112983
BaseRepresentation
bin10100100000100000…
…01101100000011000
31001102022110012101110
422100100031200120
5140022041301240
65020304420320
7536561222406
oct122020154030
931368405343
1011010103320
11473aa09647
1221733176a0
131066054248
14766380476
154468d7c80
hex29040d818

11010103320 has 128 divisors (see below), whose sum is σ = 34103255040. Its totient is φ = 2841500160.

The previous prime is 11010103319. The next prime is 11010103327. The reversal of 11010103320 is 2330101011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11010103296 and 11010103305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11010103327) 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, 841549 + ... + 854531.

It is an arithmetic number, because the mean of its divisors is an integer number (266431680).

Almost surely, 211010103320 is an apocalyptic number.

11010103320 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 11010103320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17051627520).

11010103320 is an abundant number, since it is smaller than the sum of its proper divisors (23093151720).

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

11010103320 is a wasteful number, since it uses less digits than its factorization.

11010103320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13225 (or 13221 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 11010103320 its reverse (2330101011), we get a palindrome (13340204331).

The spelling of 11010103320 in words is "eleven billion, ten million, one hundred three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 191 222 296 370 382 444 555 573 740 764 888 955 1110 1146 1480 1528 1910 2220 2292 2865 3820 4440 4584 5730 7067 7640 11460 12983 14134 21201 22920 25966 28268 35335 38949 42402 51932 56536 64915 70670 77898 84804 103864 106005 129830 141340 155796 169608 194745 212010 259660 282680 311592 389490 424020 480371 519320 778980 848040 960742 1441113 1557960 1921484 2401855 2479753 2882226 3842968 4803710 4959506 5764452 7205565 7439259 9607420 9919012 11528904 12398765 14411130 14878518 19214840 19838024 24797530 28822260 29757036 37196295 49595060 57644520 59514072 74392590 91750861 99190120 148785180 183501722 275252583 297570360 367003444 458754305 550505166 734006888 917508610 1101010332 1376262915 1835017220 2202020664 2752525830 3670034440 5505051660 11010103320