Search a number
-
+
2301331122 = 233199331647
BaseRepresentation
bin1000100100101011…
…1000011010110010
312221101100201211000
42021022320122302
514203120043442
61020205302430
7111012664116
oct21112703262
95841321730
102301331122
11a81050152
12542864a16
132a8a1ccbc
1417b8d7746
15d7085d4c
hex892b86b2

2301331122 has 64 divisors (see below), whose sum is σ = 5163264000. Its totient is φ = 759773520.

The previous prime is 2301331099. The next prime is 2301331139. The reversal of 2301331122 is 2211331032.

It is a super-2 number, since 2×23013311222 = 10592249866171557768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2301331095 and 2301331104.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3556603 + ... + 3557249.

It is an arithmetic number, because the mean of its divisors is an integer number (80676000).

Almost surely, 22301331122 is an apocalyptic number.

2301331122 is an abundant number, since it is smaller than the sum of its proper divisors (2861932878).

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

2301331122 is a wasteful number, since it uses less digits than its factorization.

2301331122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188 (or 1182 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2301331122 is about 47972.1911319464. The cubic root of 2301331122 is about 1320.2607232925.

Adding to 2301331122 its reverse (2211331032), we get a palindrome (4512662154).

The spelling of 2301331122 in words is "two billion, three hundred one million, three hundred thirty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 199 331 398 597 647 662 993 1194 1294 1791 1941 1986 2979 3582 3882 5373 5823 5958 8937 10746 11646 17469 17874 34938 65869 128753 131738 197607 214157 257506 386259 395214 428314 592821 642471 772518 1158777 1185642 1284942 1778463 1927413 2317554 3476331 3556926 3854826 5782239 6952662 11564478 42617243 85234486 127851729 255703458 383555187 767110374 1150665561 2301331122