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32213032341324 = 223172693613162473
BaseRepresentation
bin1110101001100001011100…
…10110011000111101001100
311020001112110121110211100220
413110300232112120331030
513210234242234410244
6152302243542351340
76533212654045422
oct724605626307514
9136045417424326
1032213032341324
11a29a519a67a5a
12374312742b550
1314c88a2ca9053
147d5194aa5112
153ace0541a319
hex1d4c2e598f4c

32213032341324 has 96 divisors (see below), whose sum is σ = 79903595378880. Its totient is φ = 10065631715328.

The previous prime is 32213032341311. The next prime is 32213032341331. The reversal of 32213032341324 is 42314323031223.

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, 198185752 + ... + 198348224.

It is an arithmetic number, because the mean of its divisors is an integer number (832329118530).

Almost surely, 232213032341324 is an apocalyptic number.

32213032341324 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32213032341324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39951797689440).

32213032341324 is an abundant number, since it is smaller than the sum of its proper divisors (47690563037556).

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

32213032341324 is a wasteful number, since it uses less digits than its factorization.

32213032341324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166379 (or 166377 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 33.

Adding to 32213032341324 its reverse (42314323031223), we get a palindrome (74527355372547).

The spelling of 32213032341324 in words is "thirty-two trillion, two hundred thirteen billion, thirty-two million, three hundred forty-one thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 269 538 807 1076 1614 3228 3613 4573 7226 9146 10839 13719 14452 18292 21678 27438 43356 54876 61421 122842 162473 184263 245684 324946 368526 487419 649892 737052 971897 974838 1943794 1949676 2762041 2915691 3887588 5524082 5831382 8286123 11048164 11662764 16522249 16572246 33044498 33144492 43705237 49566747 66088996 87410474 99133494 131115711 174820948 198266988 262231422 524462844 587014949 742989029 1174029898 1485978058 1761044847 2228967087 2348059796 2971956116 3522089694 4457934174 7044179388 8915868348 9979254133 19958508266 29937762399 39917016532 59875524798 119751049596 157907021281 315814042562 473721063843 631628085124 947442127686 1894884255372 2684419361777 5368838723554 8053258085331 10737677447108 16106516170662 32213032341324