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130322213333334 = 2321137101917457311
BaseRepresentation
bin11101101000011100000001…
…001110110110100101010110
3122002102200102010020120022100
4131220130001032312211112
5114040144343103131314
61141101110455542530
736310316635641651
oct3550340116664526
9562380363216270
10130322213333334
1138585381a2a650
121274939968aa46
1357944414aabc9
1424278b3534898
15100eea6e75c09
hex7687013b6956

130322213333334 has 96 divisors (see below), whose sum is σ = 316670053340160. Its totient is φ = 38386529812800.

The previous prime is 130322213333311. The next prime is 130322213333359. The reversal of 130322213333334 is 433333312223031.

130322213333334 is a `hidden beast` number, since 1 + 30 + 322 + 213 + 33 + 33 + 34 = 666.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1263462 + ... + 16193849.

It is an arithmetic number, because the mean of its divisors is an integer number (3298646388960).

Almost surely, 2130322213333334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130322213333334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158335026670080).

130322213333334 is an abundant number, since it is smaller than the sum of its proper divisors (186347840006826).

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

130322213333334 is a wasteful number, since it uses less digits than its factorization.

130322213333334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17458386 (or 17458383 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 36.

Adding to 130322213333334 its reverse (433333312223031), we get a palindrome (563655525556365).

The spelling of 130322213333334 in words is "one hundred thirty trillion, three hundred twenty-two billion, two hundred thirteen million, three hundred thirty-three thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 198 222 333 407 666 814 1019 1221 2038 2442 3057 3663 6114 7326 9171 11209 18342 22418 33627 37703 67254 75406 100881 113109 201762 226218 339327 414733 678654 829466 1244199 2488398 3732597 7465194 17457311 34914622 52371933 104743866 157115799 192030421 314231598 384060842 576091263 645920507 1152182526 1291841014 1728273789 1937761521 3456547578 3875523042 5813284563 7105125577 11626569126 14210251154 17788999909 21315376731 35577999818 42630753462 53366999727 63946130193 106733999454 127892260386 160100999181 195678998999 320201998362 391357997998 587036996997 658192996633 1174073993994 1316385993266 1761110990991 1974578989899 3522221981982 3949157979798 5923736969697 7240122962963 11847473939394 14480245925926 21720368888889 43440737777778 65161106666667 130322213333334