Search a number
-
+
312201021220 = 2251110114050451
BaseRepresentation
bin1001000101100001010…
…00011000011100100100
31002211211211022010100221
410202300220120130210
520103341430134340
6355231223214124
731361426615644
oct4426050303444
91084754263327
10312201021220
11110449379110
125060b5a7344
13235958174aa
141117972a524
1581c38db44a
hex48b0a18724

312201021220 has 48 divisors (see below), whose sum is σ = 722305636416. Its totient is φ = 112403600000.

The previous prime is 312201021211. The next prime is 312201021229. The reversal of 312201021220 is 22120102213.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (312201021211) and next prime (312201021229).

It is a junction number, because it is equal to n+sod(n) for n = 312201021194 and 312201021203.

It is not an unprimeable number, because it can be changed into a prime (312201021229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7003006 + ... + 7047445.

It is an arithmetic number, because the mean of its divisors is an integer number (15048034092).

Almost surely, 2312201021220 is an apocalyptic number.

It is an amenable number.

312201021220 is an abundant number, since it is smaller than the sum of its proper divisors (410104615196).

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

312201021220 is a wasteful number, since it uses less digits than its factorization.

312201021220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14050572 (or 14050570 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 312201021220 its reverse (22120102213), we get a palindrome (334321123433).

The spelling of 312201021220 in words is "three hundred twelve billion, two hundred one million, twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 1010 1111 2020 2222 4444 5555 11110 22220 14050451 28100902 56201804 70252255 140504510 154554961 281009020 309109922 618219844 772774805 1419095551 1545549610 2838191102 3091099220 5676382204 7095477755 14190955510 15610051061 28381911020 31220102122 62440204244 78050255305 156100510610 312201021220