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330023114421 = 3711133710328837
BaseRepresentation
bin1001100110101101110…
…10010001011010110101
31011112211212201021010220
410303112322101122311
520401341404130141
6411335512404553
732562165121230
oct4632672213265
91145755637126
10330023114421
11117a64498560
1253b640a6759
1325175c27880
1411d8a686417
1588b8351766
hex4cd6e916b5

330023114421 has 128 divisors (see below), whose sum is σ = 612690763776. Its totient is φ = 152475540480.

The previous prime is 330023114257. The next prime is 330023114423. The reversal of 330023114421 is 124411320033.

It is a happy number.

It is not a de Polignac number, because 330023114421 - 226 = 329956005557 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 330023114391 and 330023114400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330023114423) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11430015 + ... + 11458851.

It is an arithmetic number, because the mean of its divisors is an integer number (4786646592).

Almost surely, 2330023114421 is an apocalyptic number.

It is an amenable number.

330023114421 is a deficient number, since it is larger than the sum of its proper divisors (282667649355).

330023114421 is a wasteful number, since it uses less digits than its factorization.

330023114421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29011.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 330023114421 its reverse (124411320033), we get a palindrome (454434434454).

It can be divided in two parts, 330023 and 114421, that added together give a palindrome (444444).

The spelling of 330023114421 in words is "three hundred thirty billion, twenty-three million, one hundred fourteen thousand, four hundred twenty-one".

Divisors: 1 3 7 11 13 21 33 37 39 77 91 103 111 143 231 259 273 309 407 429 481 721 777 1001 1133 1221 1339 1443 2163 2849 3003 3367 3399 3811 4017 5291 7931 8547 9373 10101 11433 14729 15873 23793 26677 28119 28837 37037 41921 44187 49543 80031 86511 103103 111111 125763 148629 201859 293447 309309 317207 346801 374881 544973 605577 880341 951621 1040403 1066969 1124643 1634919 2220449 2624167 2970211 3200907 3814811 4123691 6661347 7468783 7872501 8910633 11444433 11736659 12371073 13870597 20791477 22406349 28865837 32672321 35209977 38612743 41611791 62374431 82156613 86597511 97094179 98016963 109897807 115838229 152576567 228706247 246469839 270289201 291282537 329693421 424740173 457729701 686118741 769284649 810867603 1068035969 1208875877 1274220519 1428671491 2307853947 2973181211 3204107907 3626627631 4286014473 8462131139 8919543633 10000700437 15715386401 25386393417 30002101311 47146159203 110007704807 330023114421