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1310301031 = 13437929671
BaseRepresentation
bin100111000011001…
…1001101101100111
310101022120012002211
41032012121231213
510140414113111
6334004144251
744320242424
oct11606315547
93338505084
101310301031
116126a3616
12306998087
1317b603870
14c6042d4b
157a077521
hex4e199b67

1310301031 has 16 divisors (see below), whose sum is σ = 1462236160. Its totient is φ = 1166387040.

The previous prime is 1310301029. The next prime is 1310301067. The reversal of 1310301031 is 1301030131.

It is a happy number.

It is not a de Polignac number, because 1310301031 - 21 = 1310301029 is a prime.

It is a super-2 number, since 2×13103010312 = 3433777583679325922, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1310301631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29326 + ... + 58996.

It is an arithmetic number, because the mean of its divisors is an integer number (91389760).

Almost surely, 21310301031 is an apocalyptic number.

1310301031 is a deficient number, since it is larger than the sum of its proper divisors (151935129).

1310301031 is a wasteful number, since it uses less digits than its factorization.

1310301031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29806.

The product of its (nonzero) digits is 27, while the sum is 13.

The square root of 1310301031 is about 36198.0804877828. The cubic root of 1310301031 is about 1094.2679875038.

Adding to 1310301031 its reverse (1301030131), we get a palindrome (2611331162).

The spelling of 1310301031 in words is "one billion, three hundred ten million, three hundred one thousand, thirty-one".

Divisors: 1 13 43 79 559 1027 3397 29671 44161 385723 1275853 2344009 16586089 30472117 100792387 1310301031