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212304320140 = 2251117427113291
BaseRepresentation
bin1100010110111001010…
…0101101011010001100
3202021222212000220121011
43011232110231122030
511434244401221030
6241310430215004
721224045642323
oct3055624553214
9667885026534
10212304320140
1182046288020
1235190354464
1317035534c93
14a3c02b90ba
1557c87a8b2a
hex316e52d68c

212304320140 has 96 divisors (see below), whose sum is σ = 515139222528. Its totient is φ = 72637824000.

The previous prime is 212304320131. The next prime is 212304320177. The reversal of 212304320140 is 41023403212.

212304320140 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 (22).

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 31 ways as a sum of consecutive naturals, for example, 15966895 + ... + 15980185.

It is an arithmetic number, because the mean of its divisors is an integer number (5366033568).

Almost surely, 2212304320140 is an apocalyptic number.

212304320140 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 212304320140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257569611264).

212304320140 is an abundant number, since it is smaller than the sum of its proper divisors (302834902388).

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

212304320140 is a wasteful number, since it uses less digits than its factorization.

212304320140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17599 (or 17597 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 212304320140 its reverse (41023403212), we get a palindrome (253327723352).

The spelling of 212304320140 in words is "two hundred twelve billion, three hundred four million, three hundred twenty thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 340 374 748 935 1870 3740 4271 8542 13291 17084 21355 26582 42710 46981 53164 66455 72607 85420 93962 132910 145214 146201 187924 225947 234905 265820 290428 292402 363035 451894 469810 584804 726070 731005 798677 903788 939620 1129735 1452140 1462010 1597354 2259470 2485417 2924020 3194708 3993385 4518940 4970834 7986770 9941668 12427085 15973540 24854170 49708340 56765861 113531722 227063444 283829305 567658610 624424471 965019637 1135317220 1248848942 1930039274 2497697884 3122122355 3860078548 4825098185 6244244710 9650196370 10615216007 12488489420 19300392740 21230432014 42460864028 53076080035 106152160070 212304320140