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230212212210300 = 223521745139649453
BaseRepresentation
bin110100010110000001110101…
…001000011011101001111100
31010012010001221220001001201010
4310112001311020123221330
5220133244102311212200
62133342010312515220
766330166141025505
oct6426016510335174
91105101856031633
10230212212210300
11673974a6199991
12219a08040abb10
139b5bbc2b22a28
1440bc48ad4dbac
151b935344ca150
hexd1607521ba7c

230212212210300 has 72 divisors (see below), whose sum is σ = 705261883069296. Its totient is φ = 57778751298560.

The previous prime is 230212212210287. The next prime is 230212212210301. The reversal of 230212212210300 is 3012212212032.

It is a super-2 number, since 2×2302122122103002 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230212212210301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22569819627 + ... + 22569829826.

It is an arithmetic number, because the mean of its divisors is an integer number (9795303931518).

Almost surely, 2230212212210300 is an apocalyptic number.

230212212210300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230212212210300 is an abundant number, since it is smaller than the sum of its proper divisors (475049670858996).

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

230212212210300 is a wasteful number, since it uses less digits than its factorization.

230212212210300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45139649487 (or 45139649480 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 230212212210300 its reverse (3012212212032), we get a palindrome (233224424422332).

The spelling of 230212212210300 in words is "two hundred thirty trillion, two hundred twelve billion, two hundred twelve million, two hundred ten thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 510 850 1020 1275 1700 2550 5100 45139649453 90279298906 135418948359 180558597812 225698247265 270837896718 451396494530 541675793436 677094741795 767374040701 902792989060 1128491236325 1354189483590 1534748081402 2256982472650 2302122122103 2708378967180 3069496162804 3385473708975 3836870203505 4513964945300 4604244244206 6770947417950 7673740407010 9208488488412 11510610610515 13541894835900 15347480814020 19184351017525 23021221221030 38368702035050 46042442442060 57553053052575 76737404070100 115106106105150 230212212210300