Search a number
-
+
6424311101 = 1317295318913
BaseRepresentation
bin1011111101110101…
…10011010100111101
3121120201110211002012
411332322303110331
5101124110423401
62541251141005
7315125512655
oct57672632475
917521424065
106424311101
1127a73a101a
1212b35a4765
137b4c6cb20
1444d301365
15278eee8bb
hex17eeb353d

6424311101 has 32 divisors (see below), whose sum is σ = 7721451360. Its totient is φ = 5286887424.

The previous prime is 6424311097. The next prime is 6424311107. The reversal of 6424311101 is 1011134246.

It can be written as a sum of positive squares in 16 ways, for example, as 448900 + 6423862201 = 670^2 + 80149^2 .

It is not a de Polignac number, because 6424311101 - 22 = 6424311097 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6424311107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 330221 + ... + 349133.

It is an arithmetic number, because the mean of its divisors is an integer number (241295355).

Almost surely, 26424311101 is an apocalyptic number.

It is an amenable number.

6424311101 is a deficient number, since it is larger than the sum of its proper divisors (1297140259).

6424311101 is a wasteful number, since it uses less digits than its factorization.

6424311101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19025.

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 6424311101 is about 80151.8003603163. The cubic root of 6424311101 is about 1858.9834408332.

Adding to 6424311101 its reverse (1011134246), we get a palindrome (7435445347).

The spelling of 6424311101 in words is "six billion, four hundred twenty-four million, three hundred eleven thousand, one hundred one".

Divisors: 1 13 17 29 53 221 377 493 689 901 1537 6409 11713 18913 19981 26129 245869 321521 339677 548477 1002389 4179773 7130201 9324109 13031057 17040613 29069281 121213417 221527969 377900653 494177777 6424311101