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332201141102233 = 132171013943290347
BaseRepresentation
bin100101110001000101001101…
…1000000100110011010011001
31121120020010012200221212210101
41023202022123000212122121
5322020240414110232413
63134311033012215401
7126654511650633124
oct11342123300463231
91546203180855711
10332201141102233
1196938792760557
123131298200a561
1311349582939700
145c0689a1113bb
1528614a9d3dedd
hex12e229b026699

332201141102233 has 48 divisors (see below), whose sum is σ = 384750782441856. Its totient is φ = 285678165427200.

The previous prime is 332201141102197. The next prime is 332201141102239.

332201141102233 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-332201141102233 is a prime.

It is a super-2 number, since 2×3322011411022332 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (332201141102239) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1144006966 + ... + 1144297312.

It is an arithmetic number, because the mean of its divisors is an integer number (8015641300872).

Almost surely, 2332201141102233 is an apocalyptic number.

It is an amenable number.

332201141102233 is a deficient number, since it is larger than the sum of its proper divisors (52549641339623).

332201141102233 is a wasteful number, since it uses less digits than its factorization.

332201141102233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294434 (or 294421 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The spelling of 332201141102233 in words is "three hundred thirty-two trillion, two hundred one billion, one hundred forty-one million, one hundred two thousand, two hundred thirty-three".

Divisors: 1 13 17 101 169 221 1313 1717 2873 3943 17069 22321 51259 67031 290173 290347 398243 666367 871403 3774511 4935899 5177159 6770131 11328239 29325047 49068643 64166687 67303067 88011703 381225611 498525799 834166931 1144152139 1144838221 4955932943 6480835387 14882896873 19462249757 84250860031 115628660321 193477659349 253009246841 1503172584173 1965687225457 3289120208933 19541243594249 25553933930941 332201141102233