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12000322103331 = 3431492351265561
BaseRepresentation
bin1010111010100000101011…
…1011111010100000100011
31120111012221002011122111110
42232220022323322200203
53033103124424301311
641304512153514403
72345665111601202
oct256501273724043
946435832148443
1012000322103331
113907342a85901
1214198ab712a03
13690819359283
142d6b666a7239
1515c2513488a6
hexaea0aefa823

12000322103331 has 32 divisors (see below), whose sum is σ = 16489488153600. Its totient is φ = 7758388512000.

The previous prime is 12000322103317. The next prime is 12000322103347. The reversal of 12000322103331 is 13330122300021.

12000322103331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12000322103331 - 211 = 12000322101283 is a prime.

It is a super-2 number, since 2×120003221033312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12000322103298 and 12000322103307.

It is not an unprimeable number, because it can be changed into a prime (12000322103831) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45055791 + ... + 45321351.

It is an arithmetic number, because the mean of its divisors is an integer number (515296504800).

Almost surely, 212000322103331 is an apocalyptic number.

12000322103331 is a deficient number, since it is larger than the sum of its proper divisors (4489166050269).

12000322103331 is a wasteful number, since it uses less digits than its factorization.

12000322103331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268107.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 12000322103331 its reverse (13330122300021), we get a palindrome (25330444403352).

The spelling of 12000322103331 in words is "twelve trillion, three hundred twenty-two million, one hundred three thousand, three hundred thirty-one".

Divisors: 1 3 43 129 149 447 2351 6407 7053 19221 101093 265561 303279 350299 796683 1050897 11419123 15062857 34257369 39568589 45188571 118705767 624333911 1701449327 1873001733 5104347981 26846358173 80539074519 93025752739 279077258217 4000107367777 12000322103331