Search a number
-
+
321223240211214 = 231119991258485251
BaseRepresentation
bin100100100001001101001110…
…1001000000101101100001110
31120010100122022220200020220210
41021002122131020011230032
5314100410143443224324
63055103530325223250
7124442420225656605
oct11102323510055416
91503318286606823
10321223240211214
1193396013910280
123003b271261b26
1310a312b5a58703
145947405958a3c
152720b4883dd29
hex124269d205b0e

321223240211214 has 64 divisors (see below), whose sum is σ = 738482025553920. Its totient is φ = 92124143100000.

The previous prime is 321223240211201. The next prime is 321223240211273. The reversal of 321223240211214 is 412112042322123.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127999912 + ... + 130485339.

It is an arithmetic number, because the mean of its divisors is an integer number (11538781649280).

Almost surely, 2321223240211214 is an apocalyptic number.

321223240211214 is an abundant number, since it is smaller than the sum of its proper divisors (417258785342706).

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

321223240211214 is a wasteful number, since it uses less digits than its factorization.

321223240211214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258486277.

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 321223240211214 its reverse (412112042322123), we get a palindrome (733335282533337).

The spelling of 321223240211214 in words is "three hundred twenty-one trillion, two hundred twenty-three billion, two hundred forty million, two hundred eleven thousand, two hundred fourteen".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 209 418 627 991 1254 1982 2973 5946 10901 18829 21802 32703 37658 56487 65406 112974 207119 414238 621357 1242714 258485251 516970502 775455753 1550911506 2843337761 4911219769 5686675522 8530013283 9822439538 14733659307 17060026566 29467318614 54023417459 108046834918 162070252377 256158883741 324140504754 512317767482 768476651223 1536953302446 2817747721151 4867018791079 5635495442302 8453243163453 9734037582158 14601056373237 16906486326906 29202112746474 53537206701869 107074413403738 160611620105607 321223240211214