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2130115344 = 24379765357
BaseRepresentation
bin111111011110110…
…1111101100010000
312111110012001220220
41332331233230100
513330302142334
6551211433040
7103533452550
oct17675575420
95443161826
102130115344
119a3438205
124b5455780
1327c4034a6
14162c89160
15c7015449
hex7ef6fb10

2130115344 has 80 divisors (see below), whose sum is σ = 6353843328. Its totient is φ = 602320896.

The previous prime is 2130115277. The next prime is 2130115349. The reversal of 2130115344 is 4435110312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2130115349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87 + ... + 65270.

Almost surely, 22130115344 is an apocalyptic number.

2130115344 is a gapful number since it is divisible by the number (24) 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 2130115344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3176921664).

2130115344 is an abundant number, since it is smaller than the sum of its proper divisors (4223727984).

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

2130115344 is a wasteful number, since it uses less digits than its factorization.

2130115344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65472 (or 65466 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 2130115344 is about 46153.1726320087. The cubic root of 2130115344 is about 1286.6715757134.

Adding to 2130115344 its reverse (4435110312), we get a palindrome (6565225656).

The spelling of 2130115344 in words is "two billion, one hundred thirty million, one hundred fifteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 97 112 168 194 291 336 388 582 679 776 1164 1358 1552 2037 2328 2716 4074 4656 5432 8148 10864 16296 32592 65357 130714 196071 261428 392142 457499 522856 784284 914998 1045712 1372497 1568568 1829996 2744994 3137136 3659992 5489988 6339629 7319984 10979976 12679258 19018887 21959952 25358516 38037774 44377403 50717032 76075548 88754806 101434064 133132209 152151096 177509612 266264418 304302192 355019224 532528836 710038448 1065057672 2130115344