Search a number
-
+
4311002120 = 235176339709
BaseRepresentation
bin1000000001111010…
…01010110000001000
3102010102220121011012
410000331022300020
532312104031440
61551435423052
7211554625205
oct40075126010
912112817135
104311002120
1119124a2777
12a038b4a88
135391a2239
142cc78ccac
151a3708e65
hex100f4ac08

4311002120 has 32 divisors (see below), whose sum is σ = 10270330200. Its totient is φ = 1622965248.

The previous prime is 4311002119. The next prime is 4311002141. The reversal of 4311002120 is 212001134.

It can be written as a sum of positive squares in 4 ways, for example, as 3550014724 + 760987396 = 59582^2 + 27586^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4311002095 and 4311002104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3169175 + ... + 3170534.

Almost surely, 24311002120 is an apocalyptic number.

4311002120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4311002120 is an abundant number, since it is smaller than the sum of its proper divisors (5959328080).

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

4311002120 is a wasteful number, since it uses less digits than its factorization.

4311002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6339737 (or 6339733 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 4311002120 is about 65658.2220289280. Note that the first 3 decimals coincide. The cubic root of 4311002120 is about 1627.5190430703.

Adding to 4311002120 its reverse (212001134), we get a palindrome (4523003254).

The spelling of 4311002120 in words is "four billion, three hundred eleven million, two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 6339709 12679418 25358836 31698545 50717672 63397090 107775053 126794180 215550106 253588360 431100212 538875265 862200424 1077750530 2155501060 4311002120