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1310130100 = 225229835443
BaseRepresentation
bin100111000010110…
…1111111110110100
310101022020111122001
41032011233332310
510140343130400
6334000345044
744315631166
oct11605577664
93338214561
101310130100
11612597154
12306915184
1317b573b16
14c5dda936
157a041a6a
hex4e16ffb4

1310130100 has 72 divisors (see below), whose sum is σ = 2976996960. Its totient is φ = 499793280.

The previous prime is 1310130097. The next prime is 1310130103. The reversal of 1310130100 is 10310131.

It is an interprime number because it is at equal distance from previous prime (1310130097) and next prime (1310130103).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1310130103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 237979 + ... + 243421.

It is an arithmetic number, because the mean of its divisors is an integer number (41347180).

Almost surely, 21310130100 is an apocalyptic number.

1310130100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1310130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1488498480).

1310130100 is an abundant number, since it is smaller than the sum of its proper divisors (1666866860).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1310130100 is a wasteful number, since it uses less digits than its factorization.

1310130100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5569 (or 5562 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

The square root of 1310130100 is about 36195.7193601674. The cubic root of 1310130100 is about 1094.2204023940.

Adding to 1310130100 its reverse (10310131), we get a palindrome (1320440231).

The spelling of 1310130100 in words is "one billion, three hundred ten million, one hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 83 100 116 145 166 290 332 415 580 725 830 1450 1660 2075 2407 2900 4150 4814 5443 8300 9628 10886 12035 21772 24070 27215 48140 54430 60175 108860 120350 136075 157847 240700 272150 315694 451769 544300 631388 789235 903538 1578470 1807076 2258845 3156940 3946175 4517690 7892350 9035380 11294225 13101301 15784700 22588450 26202602 45176900 52405204 65506505 131013010 262026020 327532525 655065050 1310130100