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230303434334211 = 3571012861468551
BaseRepresentation
bin110100010111010110110010…
…011001001110000000000011
31010012102210102022120002200000
4310113112302121032000003
5220141242413142143321
62133451534231331043
766336605540213520
oct6427266231160003
91105383368502600
10230303434334211
1167422157757837
12219b6422220a83
139b6769cbb4544
1440c2a6229a147
151b95ac2cb2826
hexd175b264e003

230303434334211 has 96 divisors (see below), whose sum is σ = 398307943627776. Its totient is φ = 130253151600000.

The previous prime is 230303434334161. The next prime is 230303434334251. The reversal of 230303434334211 is 112433434303032.

230303434334211 is a `hidden beast` number, since 2 + 3 + 0 + 3 + 0 + 3 + 4 + 3 + 433 + 4 + 211 = 666.

It is not a de Polignac number, because 230303434334211 - 234 = 230286254465027 is a prime.

It is a super-2 number, since 2×2303034343342112 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (230303434334251) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 491288386 + ... + 491756936.

It is an arithmetic number, because the mean of its divisors is an integer number (4149041079456).

Almost surely, 2230303434334211 is an apocalyptic number.

230303434334211 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

230303434334211 is a deficient number, since it is larger than the sum of its proper divisors (168004509293565).

230303434334211 is a wasteful number, since it uses less digits than its factorization.

230303434334211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471535 (or 471523 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 36.

Adding to 230303434334211 its reverse (112433434303032), we get a palindrome (342736868637243).

The spelling of 230303434334211 in words is "two hundred thirty trillion, three hundred three billion, four hundred thirty-four million, three hundred thirty-four thousand, two hundred eleven".

Divisors: 1 3 7 9 21 27 63 81 101 189 243 303 567 707 909 1701 2121 2727 2861 6363 8181 8583 19089 20027 24543 25749 57267 60081 77247 171801 180243 231741 288961 468551 540729 695223 866883 1405653 1622187 2022727 2600649 3279857 4216959 4866561 6068181 7801947 9839571 12650877 18204543 23405841 29518713 37952631 47323651 54613629 70217523 88556139 113857893 141970953 163840887 265668417 331265557 425912859 491522661 797005251 993796671 1277738577 1340524411 2981390013 3833215731 4021573233 8944170039 9383670877 11499647193 12064719699 26832510117 28151012631 36194159097 80497530351 84453037893 108582477291 135392965511 253359113679 325747431873 406178896533 760077341037 947750758577 1218536689599 2280232023111 2843252275731 3655610068797 8529756827193 10966830206391 25589270481579 32900490619173 76767811444737 230303434334211