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314232013201 = 7011264135461
BaseRepresentation
bin1001001001010011011…
…00000000000110010001
31010001002100222012121011
410210221230000012101
520122021343410301
6400204534330521
731462651020241
oct4445154000621
91101070865534
10314232013201
111112a0863487
1250a977b9a41
132382a5231b2
14112cd371b21
158291d71a51
hex4929b00191

314232013201 has 8 divisors (see below), whose sum is σ = 314714044008. Its totient is φ = 313750080000.

The previous prime is 314232013157. The next prime is 314232013217. The reversal of 314232013201 is 102310232413.

It can be written as a sum of positive squares in 4 ways, for example, as 7687080976 + 306544932225 = 87676^2 + 553665^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-314232013201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (314232013231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8843611 + ... + 8879071.

It is an arithmetic number, because the mean of its divisors is an integer number (39339255501).

Almost surely, 2314232013201 is an apocalyptic number.

It is an amenable number.

314232013201 is a deficient number, since it is larger than the sum of its proper divisors (482030807).

314232013201 is a wasteful number, since it uses less digits than its factorization.

314232013201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48803.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 314232013201 its reverse (102310232413), we get a palindrome (416542245614).

The spelling of 314232013201 in words is "three hundred fourteen billion, two hundred thirty-two million, thirteen thousand, two hundred one".

Divisors: 1 701 12641 35461 8861341 24858161 448262501 314232013201