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1310341120 = 21151111633
BaseRepresentation
bin100111000011010…
…0011100000000000
310101022122020002121
41032012203200000
510140421403440
6334005054024
744320500334
oct11606434000
93338566077
101310341120
11612720750
123069b7314
1317b618b9a
14c60537c4
157a08434a
hex4e1a3800

1310341120 has 96 divisors (see below), whose sum is σ = 3430168560. Its totient is φ = 476446720.

The previous prime is 1310341117. The next prime is 1310341121. The reversal of 1310341120 is 211430131.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1310341094 and 1310341103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1310341121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106824 + ... + 118456.

Almost surely, 21310341120 is an apocalyptic number.

1310341120 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 1310341120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1715084280).

1310341120 is an abundant number, since it is smaller than the sum of its proper divisors (2119827440).

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

1310341120 is a wasteful number, since it uses less digits than its factorization.

1310341120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11671 (or 11651 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1310341120 is about 36198.6342283794. The cubic root of 1310341120 is about 1094.2791471943.

Adding to 1310341120 its reverse (211430131), we get a palindrome (1521771251).

The spelling of 1310341120 in words is "one billion, three hundred ten million, three hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 512 640 704 880 1024 1280 1408 1760 2048 2560 2816 3520 5120 5632 7040 10240 11264 11633 14080 22528 23266 28160 46532 56320 58165 93064 112640 116330 127963 186128 232660 255926 372256 465320 511852 639815 744512 930640 1023704 1279630 1489024 1861280 2047408 2559260 2978048 3722560 4094816 5118520 5956096 7445120 8189632 10237040 11912192 14890240 16379264 20474080 23824384 29780480 32758528 40948160 59560960 65517056 81896320 119121920 131034112 163792640 262068224 327585280 655170560 1310341120