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23212123010300 = 22527531319474347
BaseRepresentation
bin1010100011100011111100…
…10110001011010011111100
310001012001112202121012100202
411101301332112023103330
511020301411442312200
6121211300241543032
74614010022066240
oct521617626132374
9101161482535322
1023212123010300
11743a22a333a94
12272a7b9044a78
13cc4b80906783
145a3689314420
152a3c01ebc1d5
hex151c7e58b4fc

23212123010300 has 144 divisors (see below), whose sum is σ = 58696808163840. Its totient is φ = 7802346589440.

The previous prime is 23212123010281. The next prime is 23212123010303. The reversal of 23212123010300 is 301032121232.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23212123010303) 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, 48697727 + ... + 49172073.

It is an arithmetic number, because the mean of its divisors is an integer number (407616723360).

Almost surely, 223212123010300 is an apocalyptic number.

23212123010300 is a gapful number since it is divisible by the number (20) 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 23212123010300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29348404081920).

23212123010300 is an abundant number, since it is smaller than the sum of its proper divisors (35484685153540).

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

23212123010300 is a wasteful number, since it uses less digits than its factorization.

23212123010300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475740 (or 475733 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 23212123010300 its reverse (301032121232), we get a palindrome (23513155131532).

The spelling of 23212123010300 in words is "twenty-three trillion, two hundred twelve billion, one hundred twenty-three million, ten thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 53 70 100 106 140 175 212 265 350 371 530 700 742 1060 1319 1325 1484 1855 2638 2650 3710 5276 5300 6595 7420 9233 9275 13190 18466 18550 26380 32975 36932 37100 46165 65950 69907 92330 131900 139814 184660 230825 279628 349535 461650 474347 489349 699070 923300 948694 978698 1398140 1747675 1897388 1957396 2371735 2446745 3320429 3495350 4743470 4893490 6640858 6990700 9486940 9786980 11858675 12233725 13281716 16602145 23717350 24467450 25140391 33204290 47434700 48934900 50280782 66408580 83010725 100561564 125701955 166021450 175982737 251403910 332042900 351965474 502807820 625663693 628509775 703930948 879913685 1251327386 1257019550 1759827370 2502654772 2514039100 3128318465 3519654740 4379645851 4399568425 6256636930 8759291702 8799136850 12513273860 15641592325 17518583404 17598273700 21898229255 31283184650 33160175729 43796458510 62566369300 66320351458 87592917020 109491146275 132640702916 165800878645 218982292550 232121230103 331601757290 437964585100 464242460206 663203514580 829004393225 928484920412 1160606150515 1658008786450 2321212301030 3316017572900 4642424602060 5803030752575 11606061505150 23212123010300