Search a number
-
+
330101312012320 = 2554574514514661
BaseRepresentation
bin100101100001110011011001…
…1011100010100000000100000
31121021210101012000001211010211
41023003212303130110000200
5321231334441333343240
63130022241011303504
7126350014145105512
oct11303466334240040
91537711160054124
10330101312012320
11961a91a89a8982
1231033a195aab94
1311226560106244
145b72dbb1adbb2
152826a5cb36bea
hex12c39b3714020

330101312012320 has 48 divisors (see below), whose sum is σ = 781570836344088. Its totient is φ = 131751595837440.

The previous prime is 330101312012317. The next prime is 330101312012399. The reversal of 330101312012320 is 23210213101033.

It can be written as a sum of positive squares in 4 ways, for example, as 318193815888144 + 11907496124176 = 17837988^2 + 3450724^2 .

It is a junction number, because it is equal to n+sod(n) for n = 330101312012291 and 330101312012300.

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 7 ways as a sum of consecutive naturals, for example, 2257184211 + ... + 2257330450.

Almost surely, 2330101312012320 is an apocalyptic number.

It is an amenable number.

330101312012320 is an abundant number, since it is smaller than the sum of its proper divisors (451469524331768).

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

330101312012320 is a wasteful number, since it uses less digits than its factorization.

330101312012320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4514515133 (or 4514515125 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 330101312012320 its reverse (23210213101033), we get a palindrome (353311525113353).

The spelling of 330101312012320 in words is "three hundred thirty trillion, one hundred one billion, three hundred twelve million, twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 457 914 1828 2285 3656 4570 7312 9140 14624 18280 36560 73120 4514514661 9029029322 18058058644 22572573305 36116117288 45145146610 72232234576 90290293220 144464469152 180580586440 361161172880 722322345760 2063133200077 4126266400154 8252532800308 10315666000385 16505065600616 20631332000770 33010131201232 41262664001540 66020262402464 82525328003080 165050656006160 330101312012320