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11011200210 = 2335233383457
BaseRepresentation
bin10100100000101000…
…11001010011010010
31001102101111221001000
422100110121103102
5140022331401320
65020344122430
7536603441343
oct122024312322
931371457030
1011011200210
11474059876a
122173766416
1310663495aa
147665880ca
15446a52c90
hex2905194d2

11011200210 has 128 divisors (see below), whose sum is σ = 29630914560. Its totient is φ = 2909703168.

The previous prime is 11011200197. The next prime is 11011200223. The reversal of 11011200210 is 1200211011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11011200197) and next prime (11011200223).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 11011200192 and 11011200201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24094302 + ... + 24094758.

It is an arithmetic number, because the mean of its divisors is an integer number (231491520).

Almost surely, 211011200210 is an apocalyptic number.

11011200210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11011200210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14815457280).

11011200210 is an abundant number, since it is smaller than the sum of its proper divisors (18619714350).

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

11011200210 is a wasteful number, since it uses less digits than its factorization.

11011200210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11011200210 its reverse (1200211011), we get a palindrome (12211411221).

The spelling of 11011200210 in words is "eleven billion, eleven million, two hundred thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 233 270 383 457 466 699 766 914 1149 1165 1371 1398 1915 2097 2285 2298 2330 2742 3447 3495 3830 4113 4194 4570 5745 6291 6855 6894 6990 8226 10341 10485 11490 12339 12582 13710 17235 20565 20682 20970 24678 31455 34470 41130 51705 61695 62910 89239 103410 106481 123390 175031 178478 212962 267717 319443 350062 446195 525093 532405 535434 638886 803151 875155 892390 958329 1050186 1064810 1338585 1575279 1597215 1606302 1750310 1916658 2409453 2625465 2677170 2874987 3150558 3194430 4015755 4725837 4791645 4818906 5250930 5749974 7876395 8031510 9451674 9583290 12047265 14374935 15752790 23629185 24094530 28749870 40782223 47258370 81564446 122346669 203911115 244693338 367040007 407822230 611733345 734080014 1101120021 1223466690 1835200035 2202240042 3670400070 5505600105 11011200210