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123213100000 = 25551964849
BaseRepresentation
bin111001011000000010…
…0101011001111100000
3102210000221012000002011
41302300010223033200
54004320023200000
6132334152202304
711621223032614
oct1626004531740
9383027160064
10123213100000
1148288645771
121ba67999394
13b807a91783
145d6bd81344
1533120e02ba
hex1cb012b3e0

123213100000 has 144 divisors (see below), whose sum is σ = 319163166000. Its totient is φ = 46690560000.

The previous prime is 123213099991. The next prime is 123213100037. The reversal of 123213100000 is 1312321.

It is a super-2 number, since 2×1232131000002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1867576 + ... + 1932424.

It is an arithmetic number, because the mean of its divisors is an integer number (2216410875).

Almost surely, 2123213100000 is an apocalyptic number.

123213100000 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 123213100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159581583000).

123213100000 is an abundant number, since it is smaller than the sum of its proper divisors (195950066000).

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

123213100000 is an frugal number, since it uses more digits than its factorization.

123213100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64903 (or 64875 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 123213100000 its reverse (1312321), we get a palindrome (123214412321).

The spelling of 123213100000 in words is "one hundred twenty-three billion, two hundred thirteen million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 76 80 95 100 125 152 160 190 200 250 304 380 400 475 500 608 625 760 800 950 1000 1250 1520 1900 2000 2375 2500 3040 3125 3800 4000 4750 5000 6250 7600 9500 10000 11875 12500 15200 19000 20000 23750 25000 38000 47500 50000 59375 64849 76000 95000 100000 118750 129698 190000 237500 259396 324245 380000 475000 518792 648490 950000 1037584 1232131 1296980 1621225 1900000 2075168 2464262 2593960 3242450 4928524 5187920 6160655 6484900 8106125 9857048 10375840 12321310 12969800 16212250 19714096 24642620 25939600 30803275 32424500 39428192 40530625 49285240 51879200 61606550 64849000 81061250 98570480 123213100 129698000 154016375 162122500 197140960 202653125 246426200 259396000 308032750 324245000 405306250 492852400 616065500 648490000 770081875 810612500 985704800 1232131000 1296980000 1540163750 1621225000 2464262000 3080327500 3242450000 3850409375 4928524000 6160655000 6484900000 7700818750 12321310000 15401637500 24642620000 30803275000 61606550000 123213100000