Search a number
-
+
1310000301 = 321276011907
BaseRepresentation
bin100111000010101…
…0000010010101101
310101021222220120200
41032011100102231
510140330002201
6333553504113
744314550601
oct11605202255
93337886520
101310000301
11612508685
12306872039
1317b529a0c
14c5da5501
157a018386
hex4e1504ad

1310000301 has 24 divisors (see below), whose sum is σ = 1911297024. Its totient is φ = 864561600.

The previous prime is 1310000287. The next prime is 1310000317. The reversal of 1310000301 is 1030000131.

It is not a de Polignac number, because 1310000301 - 213 = 1309992109 is a prime.

It is a super-2 number, since 2×13100003012 = 3432201577240181202, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1310000101) 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 23 ways as a sum of consecutive naturals, for example, 685990 + ... + 687896.

It is an arithmetic number, because the mean of its divisors is an integer number (79637376).

Almost surely, 21310000301 is an apocalyptic number.

It is an amenable number.

1310000301 is a deficient number, since it is larger than the sum of its proper divisors (601296723).

1310000301 is a wasteful number, since it uses less digits than its factorization.

1310000301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2641 (or 2638 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 1310000301 is about 36193.9262998642. The cubic root of 1310000301 is about 1094.1842651675.

Adding to 1310000301 its reverse (1030000131), we get a palindrome (2340000432).

The spelling of 1310000301 in words is "one billion, three hundred ten million, three hundred one", and thus it is an aban number.

Divisors: 1 3 9 127 381 601 1143 1803 1907 5409 5721 17163 76327 228981 242189 686943 726567 1146107 2179701 3438321 10314963 145555589 436666767 1310000301