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203220331212 = 223298919333997
BaseRepresentation
bin1011110101000011100…
…0000010101011001100
3201102112202220110102210
42331100320002223030
511312143401044322
6233205204550420
720452663212513
oct2752070025314
9642482813383
10203220331212
1179204640758
12334760b2410
1316218558ac2
149b9ba7d67a
15544603b70c
hex2f50e02acc

203220331212 has 96 divisors (see below), whose sum is σ = 498628267200. Its totient is φ = 64332398592.

The previous prime is 203220331211. The next prime is 203220331213. The reversal of 203220331212 is 212133022302.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (203220331211) and next prime (203220331213).

It is not an unprimeable number, because it can be changed into a prime (203220331211) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 5960598 + ... + 5994594.

It is an arithmetic number, because the mean of its divisors is an integer number (5194044450).

Almost surely, 2203220331212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203220331212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249314133600).

203220331212 is an abundant number, since it is smaller than the sum of its proper divisors (295407935988).

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

203220331212 is a wasteful number, since it uses less digits than its factorization.

203220331212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34315 (or 34313 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 203220331212 its reverse (212133022302), we get a palindrome (415353353514).

The spelling of 203220331212 in words is "two hundred three billion, two hundred twenty million, three hundred thirty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 29 58 87 89 116 174 178 193 267 348 356 386 534 579 772 1068 1158 2316 2581 5162 5597 7743 10324 11194 15486 16791 17177 22388 30972 33582 33997 34354 51531 67164 67994 68708 101991 103062 135988 203982 206124 407964 498133 985913 996266 1494399 1971826 1992532 2957739 2988798 3025733 3943652 5915478 5977596 6051466 6561421 9077199 11830956 12102932 13122842 18154398 19684263 26245684 36308796 39368526 78737052 87746257 175492514 190281209 263238771 350985028 380562418 526477542 570843627 583966469 761124836 1052955084 1141687254 1167932938 1751899407 2283374508 2335865876 3503798814 7007597628 16935027601 33870055202 50805082803 67740110404 101610165606 203220331212