Search a number
-
+
420310313001 = 32291610384341
BaseRepresentation
bin1100001110111000111…
…00100110100000101001
31111011220011000011122200
412013130130212200221
523341243420004001
6521030552410413
742236452466355
oct6073434464051
91434804004580
10420310313001
1115228623a147
12695610a6a09
13308343b4c27
14164b3784465
15adeea0e086
hex61dc726829

420310313001 has 12 divisors (see below), whose sum is σ = 628049893380. Its totient is φ = 270544569120.

The previous prime is 420310312991. The next prime is 420310313023. The reversal of 420310313001 is 100313013024.

420310313001 is a `hidden beast` number, since 4 + 20 + 310 + 31 + 300 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 324489729600 + 95820583401 = 569640^2 + 309549^2 .

It is not a de Polignac number, because 420310313001 - 218 = 420310050857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (420310313041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 805191910 + ... + 805192431.

It is an arithmetic number, because the mean of its divisors is an integer number (52337491115).

Almost surely, 2420310313001 is an apocalyptic number.

It is an amenable number.

420310313001 is a deficient number, since it is larger than the sum of its proper divisors (207739580379).

420310313001 is a wasteful number, since it uses less digits than its factorization.

420310313001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1610384376 (or 1610384373 counting only the distinct ones).

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

Adding to 420310313001 its reverse (100313013024), we get a palindrome (520623326025).

The spelling of 420310313001 in words is "four hundred twenty billion, three hundred ten million, three hundred thirteen thousand, one".

Divisors: 1 3 9 29 87 261 1610384341 4831153023 14493459069 46701145889 140103437667 420310313001