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10211103300 = 22352415691459
BaseRepresentation
bin10011000001010000…
…10001001001000100
3222100121222210102010
421200220101021010
5131403020301200
64405123214220
7511016642316
oct114050211104
928317883363
1010211103300
11436a9a1052
121b8b817370
13c69661578
146cc1d57b6
153eb6ac150
hex260a11244

10211103300 has 144 divisors (see below), whose sum is σ = 30338683200. Its totient is φ = 2650060800.

The previous prime is 10211103293. The next prime is 10211103307. The reversal of 10211103300 is 330111201.

It is an interprime number because it is at equal distance from previous prime (10211103293) and next prime (10211103307).

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

It is not an unprimeable number, because it can be changed into a prime (10211103307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6997971 + ... + 6999429.

It is an arithmetic number, because the mean of its divisors is an integer number (210685300).

Almost surely, 210211103300 is an apocalyptic number.

10211103300 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 10211103300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15169341600).

10211103300 is an abundant number, since it is smaller than the sum of its proper divisors (20127579900).

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

10211103300 is a wasteful number, since it uses less digits than its factorization.

10211103300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2086 (or 2079 counting only the distinct ones).

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

Adding to 10211103300 its reverse (330111201), we get a palindrome (10541214501).

The spelling of 10211103300 in words is "ten billion, two hundred eleven million, one hundred three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 41 50 60 75 82 100 123 150 164 205 246 300 410 492 569 615 820 1025 1138 1230 1459 1707 2050 2276 2460 2845 2918 3075 3414 4100 4377 5690 5836 6150 6828 7295 8535 8754 11380 12300 14225 14590 17070 17508 21885 23329 28450 29180 34140 36475 42675 43770 46658 56900 59819 69987 72950 85350 87540 93316 109425 116645 119638 139974 145900 170700 179457 218850 233290 239276 279948 299095 349935 358914 437700 466580 583225 598190 699870 717828 830171 897285 1166450 1196380 1399740 1495475 1660342 1749675 1794570 2332900 2490513 2990950 3320684 3499350 3589140 4150855 4486425 4981026 5981900 6998700 8301710 8972850 9962052 12452565 16603420 17945700 20754275 24905130 34037011 41508550 49810260 62262825 68074022 83017100 102111033 124525650 136148044 170185055 204222066 249051300 340370110 408444132 510555165 680740220 850925275 1021110330 1701850550 2042220660 2552775825 3403701100 5105551650 10211103300