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330020201004 = 2231337193296249
BaseRepresentation
bin1001100110101101011…
…11001010001000101100
31011112211200020020200120
410303112233022020230
520401340132413004
6411335330124540
732562131265264
oct4632657121054
91145750206616
10330020201004
11117a6288867a
1253b63120750
1325175447760
1411d8a1287a4
1588b7e783d9
hex4cd6bca22c

330020201004 has 96 divisors (see below), whose sum is σ = 856110360000. Its totient is φ = 98287976448.

The previous prime is 330020200957. The next prime is 330020201023. The reversal of 330020201004 is 400102020033.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 965872 + ... + 1262120.

It is an arithmetic number, because the mean of its divisors is an integer number (8917816250).

Almost surely, 2330020201004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330020201004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428055180000).

330020201004 is an abundant number, since it is smaller than the sum of its proper divisors (526090158996).

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

330020201004 is a wasteful number, since it uses less digits than its factorization.

330020201004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296499 (or 296497 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 330020201004 its reverse (400102020033), we get a palindrome (730122221037).

The spelling of 330020201004 in words is "three hundred thirty billion, twenty million, two hundred one thousand, four".

Divisors: 1 2 3 4 6 12 13 26 37 39 52 74 78 111 148 156 193 222 386 444 481 579 772 962 1158 1443 1924 2316 2509 2886 5018 5772 7141 7527 10036 14282 15054 21423 28564 30108 42846 85692 92833 185666 278499 296249 371332 556998 592498 888747 1113996 1184996 1777494 3554988 3851237 7702474 10961213 11553711 15404948 21922426 23107422 32883639 43844852 46214844 57176057 65767278 114352114 131534556 142495769 171528171 228704228 284991538 343056342 427487307 569983076 686112684 743288741 854974614 1486577482 1709949228 2115514109 2229866223 2973154964 4231028218 4459732446 6346542327 8462056436 8919464892 12693084654 25386169308 27501683417 55003366834 82505050251 110006733668 165010100502 330020201004