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1213322010 = 235298811583
BaseRepresentation
bin100100001010001…
…1101001100011010
310010120002010220020
41020110131030122
54441102301020
6320221411310
742032031645
oct11024351432
93116063806
101213322010
1157298586a
1229a409b36
131644aa124
14b71daa5c
15717bcc40
hex4851d31a

1213322010 has 64 divisors (see below), whose sum is σ = 3017710080. Its totient is φ = 311843840.

The previous prime is 1213322009. The next prime is 1213322021. The reversal of 1213322010 is 102233121.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

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 31 ways as a sum of consecutive naturals, for example, 765679 + ... + 767261.

It is an arithmetic number, because the mean of its divisors is an integer number (47151720).

Almost surely, 21213322010 is an apocalyptic number.

1213322010 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 1213322010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1508855040).

1213322010 is an abundant number, since it is smaller than the sum of its proper divisors (1804388070).

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

1213322010 is a wasteful number, since it uses less digits than its factorization.

1213322010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2503.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1213322010 is about 34832.7720688434. The cubic root of 1213322010 is about 1066.5765361127.

Adding to 1213322010 its reverse (102233121), we get a palindrome (1315555131).

Subtracting from 1213322010 its reverse (102233121), we obtain a square (1111088889 = 333332).

It can be divided in two parts, 12133 and 22010, that added together give a palindrome (34143).

The spelling of 1213322010 in words is "one billion, two hundred thirteen million, three hundred twenty-two thousand, ten".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 145 174 290 435 870 881 1583 1762 2643 3166 4405 4749 5286 7915 8810 9498 13215 15830 23745 25549 26430 45907 47490 51098 76647 91814 127745 137721 153294 229535 255490 275442 383235 459070 688605 766470 1377210 1394623 2789246 4183869 6973115 8367738 13946230 20919345 40444067 41838690 80888134 121332201 202220335 242664402 404440670 606661005 1213322010