Search a number
-
+
230000021211132 = 22339373911358109
BaseRepresentation
bin110100010010111100001101…
…100100000000011111111100
31010011100210020221020110021000
4310102330031210000133330
5220121310020412224012
62133100315011210300
766305644636216044
oct6422741544003774
91104323227213230
10230000021211132
1167315508981667
12219676658a6990
139b44ba7c168a3
1440b20bbb32724
151b8cc65b57ddc
hexd12f0d9007fc

230000021211132 has 96 divisors (see below), whose sum is σ = 596958274785600. Its totient is φ = 76581576354816.

The previous prime is 230000021211053. The next prime is 230000021211151. The reversal of 230000021211132 is 231112120000032.

230000021211132 is a `hidden beast` number, since 2 + 300 + 0 + 0 + 0 + 21 + 211 + 132 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 31 ways as a sum of consecutive naturals, for example, 3958050094 + ... + 3958108202.

It is an arithmetic number, because the mean of its divisors is an integer number (6218315362350).

Almost surely, 2230000021211132 is an apocalyptic number.

It is an amenable number.

230000021211132 is an abundant number, since it is smaller than the sum of its proper divisors (366958253574468).

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

230000021211132 is a wasteful number, since it uses less digits than its factorization.

230000021211132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98172 (or 98164 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 230000021211132 its reverse (231112120000032), we get a palindrome (461112141211164).

The spelling of 230000021211132 in words is "two hundred thirty trillion, twenty-one million, two hundred eleven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 937 1874 2811 3748 5622 8433 11244 16866 25299 33732 39113 50598 58109 78226 101196 116218 117339 156452 174327 232436 234678 348654 352017 469356 522981 697308 704034 1045962 1056051 1408068 1568943 2091924 2112102 3137886 4224204 6275772 36648881 54448133 73297762 108896266 109946643 146595524 163344399 217792532 219893286 326688798 329839929 439786572 490033197 653377596 659679858 980066394 989519787 1319359716 1470099591 1960132788 1979039574 2272817317 2940199182 3958079148 4545634634 5880398364 6818451951 9091269268 13636903902 20455355853 27273807804 40910711706 61366067559 81821423412 122732135118 245464270236 2129629826029 4259259652058 6388889478087 8518519304116 12777778956174 19166668434261 25555557912348 38333336868522 57500005302783 76666673737044 115000010605566 230000021211132