Search a number
-
+
12321133003030 = 25171929271303243
BaseRepresentation
bin1011001101001011110011…
…0000011000000100010110
31121121212222221110220202111
42303102330300120010112
53103332140022044110
642112130024501234
72411113106341525
oct263227460300426
947555887426674
1012321133003030
113a203aa407065
12146bb0261a81a
136b4b548608c7
143084bb6964bc
1516577aa4ee8a
hexb34bcc18116

12321133003030 has 64 divisors (see below), whose sum is σ = 24727021839360. Its totient is φ = 4392905577984.

The previous prime is 12321133003027. The next prime is 12321133003037. The reversal of 12321133003030 is 3030033112321.

It is a junction number, because it is equal to n+sod(n) for n = 12321133002992 and 12321133003010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12321133003037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8802589 + ... + 10105831.

It is an arithmetic number, because the mean of its divisors is an integer number (386359716240).

Almost surely, 212321133003030 is an apocalyptic number.

12321133003030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12321133003030 is an abundant number, since it is smaller than the sum of its proper divisors (12405888836330).

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

12321133003030 is a wasteful number, since it uses less digits than its factorization.

12321133003030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1306213.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 12321133003030 its reverse (3030033112321), we get a palindrome (15351166115351).

The spelling of 12321133003030 in words is "twelve trillion, three hundred twenty-one billion, one hundred thirty-three million, three thousand, thirty".

Divisors: 1 2 5 10 17 19 34 38 85 95 170 190 323 646 1615 2927 3230 5854 14635 29270 49759 55613 99518 111226 248795 278065 497590 556130 945421 1303243 1890842 2606486 4727105 6516215 9454210 13032430 22155131 24761617 44310262 49523234 110775655 123808085 221551310 247616170 420947489 841894978 2104737445 3814592261 4209474890 7629184522 19072961305 38145922610 64848068437 72477252959 129696136874 144954505918 324240342185 362386264795 648480684370 724772529590 1232113300303 2464226600606 6160566501515 12321133003030