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10231110330 = 235731496673
BaseRepresentation
bin10011000011101001…
…00101101010111010
3222102000122020220020
421201310211222322
5131423131012310
64411120111310
7511352001000
oct114164455272
928360566806
1010231110330
114380216691
121b96465536
13c70847c4c
146d0b22a70
153ed310170
hex261d25aba

10231110330 has 128 divisors (see below), whose sum is σ = 28831680000. Its totient is φ = 2322496512.

The previous prime is 10231110319. The next prime is 10231110341. The reversal of 10231110330 is 3301113201.

10231110330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10231110319) and next prime (10231110341).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1529874 + ... + 1536546.

It is an arithmetic number, because the mean of its divisors is an integer number (225247500).

Almost surely, 210231110330 is an apocalyptic number.

10231110330 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 10231110330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14415840000).

10231110330 is an abundant number, since it is smaller than the sum of its proper divisors (18600569670).

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

10231110330 is a wasteful number, since it uses less digits than its factorization.

10231110330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6853 (or 6839 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 10231110330 its reverse (3301113201), we get a palindrome (13532223531).

The spelling of 10231110330 in words is "ten billion, two hundred thirty-one million, one hundred ten thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 149 210 245 294 298 343 447 490 686 735 745 894 1029 1043 1470 1490 1715 2058 2086 2235 3129 3430 4470 5145 5215 6258 6673 7301 10290 10430 13346 14602 15645 20019 21903 31290 33365 36505 40038 43806 46711 51107 66730 73010 93422 100095 102214 109515 140133 153321 200190 219030 233555 255535 280266 306642 326977 467110 511070 653954 700665 766605 980931 994277 1401330 1533210 1634885 1961862 1988554 2288839 2982831 3269770 4577678 4904655 4971385 5965662 6866517 6959939 9809310 9942770 11444195 13733034 13919878 14914155 20879817 22888390 29828310 34332585 34799695 41759634 48719573 68665170 69599390 97439146 104399085 146158719 208798170 243597865 292317438 341037011 487195730 682074022 730793595 1023111033 1461587190 1705185055 2046222066 3410370110 5115555165 10231110330