[go: up one dir, main page]

Search a number
-
+
2331142401 = 37257431933
BaseRepresentation
bin1000101011110010…
…0110100100000001
320000110110022012110
42022330212210001
514233233024101
61023152245533
7111524245350
oct21274464401
96013408173
102331142401
11a96961875
125508408a9
132b1c5a103
14181857997
15d99c3cd6
hex8af26901

2331142401 has 16 divisors (see below), whose sum is σ = 3566047104. Its totient is φ = 1326895104.

The previous prime is 2331142397. The next prime is 2331142403. The reversal of 2331142401 is 1042411332.

It is not a de Polignac number, because 2331142401 - 22 = 2331142397 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (2331142403) 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 15 ways as a sum of consecutive naturals, for example, 210570 + ... + 221363.

It is an arithmetic number, because the mean of its divisors is an integer number (222877944).

Almost surely, 22331142401 is an apocalyptic number.

2331142401 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2331142401 is a deficient number, since it is larger than the sum of its proper divisors (1234904703).

2331142401 is a wasteful number, since it uses less digits than its factorization.

2331142401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432200.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2331142401 is about 48281.9055237053. The cubic root of 2331142401 is about 1325.9371371503.

Adding to 2331142401 its reverse (1042411332), we get a palindrome (3373553733).

The spelling of 2331142401 in words is "two billion, three hundred thirty-one million, one hundred forty-two thousand, four hundred one".

Divisors: 1 3 7 21 257 771 1799 5397 431933 1295799 3023531 9070593 111006781 333020343 777047467 2331142401