Search a number
-
+
1310003130 = 235377391597
BaseRepresentation
bin100111000010101…
…0000111110111010
310101022000001110110
41032011100332322
510140330100010
6333553525150
744314562052
oct11605207672
93338001413
101310003130
1161250a817
123068737b6
1317b52b0a7
14c5da6562
157a019120
hex4e150fba

1310003130 has 64 divisors (see below), whose sum is σ = 3235374720. Its totient is φ = 339220224.

The previous prime is 1310003117. The next prime is 1310003141. The reversal of 1310003130 is 313000131.

1310003130 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13100031302 = 3432216401219593800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 819492 + ... + 821088.

It is an arithmetic number, because the mean of its divisors is an integer number (50552730).

Almost surely, 21310003130 is an apocalyptic number.

1310003130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1310003130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1617687360).

1310003130 is an abundant number, since it is smaller than the sum of its proper divisors (1925371590).

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

1310003130 is a wasteful number, since it uses less digits than its factorization.

1310003130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2383.

The product of its (nonzero) digits is 27, while the sum is 12.

The square root of 1310003130 is about 36193.9653809858. The cubic root of 1310003130 is about 1094.1850528123.

Adding to 1310003130 its reverse (313000131), we get a palindrome (1623003261).

Subtracting from 1310003130 its reverse (313000131), we obtain a cube (997002999 = 9993).

The spelling of 1310003130 in words is "one billion, three hundred ten million, three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 370 555 739 1110 1478 1597 2217 3194 3695 4434 4791 7390 7985 9582 11085 15970 22170 23955 27343 47910 54686 59089 82029 118178 136715 164058 177267 273430 295445 354534 410145 590890 820290 886335 1180183 1772670 2360366 3540549 5900915 7081098 11801830 17702745 35405490 43666771 87333542 131000313 218333855 262000626 436667710 655001565 1310003130