Search a number
-
+
312200023201 = 1122580165481
BaseRepresentation
bin1001000101100001001…
…00100100110010100001
31002211211202102102100021
410202300210210302201
520103341201220301
6355231145553441
731361415261163
oct4426044446241
91084752372307
10312200023201
11110448857300
125060b1a5881
1323595558151
141117954a933
1581c37908a1
hex48b0924ca1

312200023201 has 6 divisors (see below), whose sum is σ = 343162009106. Its totient is φ = 283818202800.

The previous prime is 312200023147. The next prime is 312200023243. The reversal of 312200023201 is 102320002213.

It can be written as a sum of positive squares in only one way, i.e., 159572286225 + 152627736976 = 399465^2 + 390676^2 .

It is not a de Polignac number, because 312200023201 - 221 = 312197926049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312200053201) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1290082620 + ... + 1290082861.

Almost surely, 2312200023201 is an apocalyptic number.

It is an amenable number.

312200023201 is a deficient number, since it is larger than the sum of its proper divisors (30961985905).

312200023201 is a wasteful number, since it uses less digits than its factorization.

312200023201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2580165503 (or 2580165492 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 312200023201 its reverse (102320002213), we get a palindrome (414520025414).

The spelling of 312200023201 in words is "three hundred twelve billion, two hundred million, twenty-three thousand, two hundred one".

Divisors: 1 11 121 2580165481 28381820291 312200023201