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1310143140 = 223358092999
BaseRepresentation
bin100111000010111…
…0011001010100100
310101022021011112000
41032011303022210
510140344040030
6334000525300
744316014205
oct11605631244
93338234460
101310143140
116125a5a29
12306920830
1317b579a37
14c60015ac
157a045860
hex4e1732a4

1310143140 has 96 divisors (see below), whose sum is σ = 4082400000. Its totient is φ = 348823296.

The previous prime is 1310143127. The next prime is 1310143141. The reversal of 1310143140 is 413410131.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1310143141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 435361 + ... + 438359.

It is an arithmetic number, because the mean of its divisors is an integer number (42525000).

Almost surely, 21310143140 is an apocalyptic number.

1310143140 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 1310143140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2041200000).

1310143140 is an abundant number, since it is smaller than the sum of its proper divisors (2772256860).

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

1310143140 is a wasteful number, since it uses less digits than its factorization.

1310143140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3826 (or 3818 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1310143140 is about 36195.8994915170. The cubic root of 1310143140 is about 1094.2240327171.

Adding to 1310143140 its reverse (413410131), we get a palindrome (1723553271).

The spelling of 1310143140 in words is "one billion, three hundred ten million, one hundred forty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 809 1618 2427 2999 3236 4045 4854 5998 7281 8090 8997 9708 11996 12135 14562 14995 16180 17994 21843 24270 26991 29124 29990 35988 36405 43686 44985 48540 53982 59980 72810 80973 87372 89970 107964 109215 134955 145620 161946 179940 218430 269910 323892 404865 436860 539820 809730 1619460 2426191 4852382 7278573 9704764 12130955 14557146 21835719 24261910 29114292 36392865 43671438 48523820 65507157 72785730 87342876 109178595 131014314 145571460 218357190 262028628 327535785 436714380 655071570 1310143140