Search a number
-
+
312101002330 = 251317181780233
BaseRepresentation
bin1001000101010101010…
…10110101110001011010
31002211120212002122020121
410202222222311301122
520103140324033310
6355213251343454
731356103514455
oct4425252656132
91084525078217
10312101002330
111103a7974477
12505a1bb1b8a
132357ab98210
141116a33249c
1581b9c310da
hex48aaab5c5a

312101002330 has 64 divisors (see below), whose sum is σ = 644123739168. Its totient is φ = 107859271680.

The previous prime is 312101002303. The next prime is 312101002333. The reversal of 312101002330 is 33200101213.

It can be written as a sum of positive squares in 16 ways, for example, as 3297400929 + 308803601401 = 57423^2 + 555701^2 .

It is not an unprimeable number, because it can be changed into a prime (312101002333) by changing a digit.

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, 9894 + ... + 790126.

Almost surely, 2312101002330 is an apocalyptic number.

312101002330 is an abundant number, since it is smaller than the sum of its proper divisors (332022736838).

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

312101002330 is a wasteful number, since it uses less digits than its factorization.

312101002330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780451.

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 312101002330 its reverse (33200101213), we get a palindrome (345301103543).

The spelling of 312101002330 in words is "three hundred twelve billion, one hundred one million, two thousand, three hundred thirty".

Divisors: 1 2 5 10 13 17 26 34 65 85 130 170 181 221 362 442 905 1105 1810 2210 2353 3077 4706 6154 11765 15385 23530 30770 40001 80002 200005 400010 780233 1560466 3901165 7802330 10143029 13263961 20286058 26527922 50715145 66319805 101430290 132639610 141222173 172431493 282444346 344862986 706110865 862157465 1412221730 1724314930 1835888249 2400776941 3671776498 4801553882 9179441245 12003884705 18358882490 24007769410 31210100233 62420200466 156050501165 312101002330