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231210002100 = 2235271110009091
BaseRepresentation
bin1101011101010100110…
…0001010011010110100
3211002210102102001201010
43113111030022122310
512242004230031400
6254114424432220
722463412406530
oct3272514123264
9732712361633
10231210002100
118a068022770
1238987918670
1318a5929b23c
14b295100bc0
156033412450
hex35d530a6b4

231210002100 has 144 divisors (see below), whose sum is σ = 834037618176. Its totient is φ = 48043632000.

The previous prime is 231210002081. The next prime is 231210002143. The reversal of 231210002100 is 1200012132.

231210002100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4981446 + ... + 5027645.

It is an arithmetic number, because the mean of its divisors is an integer number (5791927904).

Almost surely, 2231210002100 is an apocalyptic number.

231210002100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231210002100 is an abundant number, since it is smaller than the sum of its proper divisors (602827616076).

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

231210002100 is a wasteful number, since it uses less digits than its factorization.

231210002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10009126 (or 10009119 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 231210002100 its reverse (1200012132), we get a palindrome (232410014232).

The spelling of 231210002100 in words is "two hundred thirty-one billion, two hundred ten million, two thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 25 28 30 33 35 42 44 50 55 60 66 70 75 77 84 100 105 110 132 140 150 154 165 175 210 220 231 275 300 308 330 350 385 420 462 525 550 660 700 770 825 924 1050 1100 1155 1540 1650 1925 2100 2310 3300 3850 4620 5775 7700 11550 23100 10009091 20018182 30027273 40036364 50045455 60054546 70063637 100090910 110100001 120109092 140127274 150136365 200181820 210190911 220200002 250227275 280254548 300272730 330300003 350318185 420381822 440400004 500454550 550500005 600545460 660600006 700636370 750681825 770700007 840763644 1000909100 1050954555 1101000010 1321200012 1401272740 1501363650 1541400014 1651500015 1751590925 2101909110 2202000020 2312100021 2752500025 3002727300 3082800028 3303000030 3503181850 3853500035 4203818220 4624200042 5254772775 5505000050 6606000060 7006363700 7707000070 8257500075 9248400084 10509545550 11010000100 11560500105 15414000140 16515000150 19267500175 21019091100 23121000210 33030000300 38535000350 46242000420 57802500525 77070000700 115605001050 231210002100