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230231022121212 = 2237225110091154589
BaseRepresentation
bin110100010110010011010110…
…010010100011000011111100
31010012011212111210012112122020
4310112103112102203003330
5220134101113130334322
62133354401010320140
766331433232443100
oct6426232622430374
91105155453175566
10230231022121212
11673a4478971402
12219a4393589050
139b608cca96328
1440bd353165900
151b93c85a1705c
hexd164d64a30fc

230231022121212 has 144 divisors (see below), whose sum is σ = 627468700037760. Its totient is φ = 65511302640000.

The previous prime is 230231022121129. The next prime is 230231022121249. The reversal of 230231022121212 is 212121220132032.

It is a super-3 number, since 3×2302310221212123 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1489233214 + ... + 1489387802.

It is an arithmetic number, because the mean of its divisors is an integer number (4357421528040).

Almost surely, 2230231022121212 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 230231022121212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313734350018880).

230231022121212 is an abundant number, since it is smaller than the sum of its proper divisors (397237677916548).

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

230231022121212 is a wasteful number, since it uses less digits than its factorization.

230231022121212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164952 (or 164943 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 230231022121212 its reverse (212121220132032), we get a palindrome (442352242253244).

The spelling of 230231022121212 in words is "two hundred thirty trillion, two hundred thirty-one billion, twenty-two million, one hundred twenty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 251 294 502 588 753 1004 1506 1757 3012 3514 5271 7028 10091 10542 12299 20182 21084 24598 30273 36897 40364 49196 60546 70637 73794 121092 141274 147588 154589 211911 282548 309178 423822 463767 494459 618356 847644 927534 988918 1082123 1483377 1855068 1977836 2164246 2532841 2966754 3246369 4328492 5065682 5933508 6492738 7574861 7598523 10131364 12985476 15149722 15197046 17729887 22724583 30299444 30394092 35459774 38801839 45449166 53189661 70919548 77603678 90898332 106379322 116405517 124109209 155207356 212758644 232811034 248218418 271612873 372327627 465622068 496436836 543225746 744655254 814838619 1086451492 1489310508 1559957599 1629677238 1901290111 3119915198 3259354476 3802580222 4679872797 5703870333 6239830396 7605160444 9359745594 10919703193 11407740666 18719491188 21839406386 22815481332 32759109579 43678812772 65518219158 76437922351 131036438316 152875844702 229313767053 305751689404 391549357349 458627534106 783098714698 917255068212 1174648072047 1566197429396 2349296144094 2740845501443 4698592288188 5481691002886 8222536504329 10963382005772 16445073008658 19185918510101 32890146017316 38371837020202 57557755530303 76743674040404 115115511060606 230231022121212