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2315344030120 = 235117985977543
BaseRepresentation
bin100001101100010101010…
…000100010100110101000
322012100022022021101000001
4201230111100202212220
5300413311032430440
64531353201552344
7326164245351202
oct41542520424650
98170268241001
102315344030120
11812a28387010
123148900456b4
1313a44a284b34
14800c57ab772
15403627aab9a
hex21b154229a8

2315344030120 has 128 divisors (see below), whose sum is σ = 5761829376000. Its totient is φ = 830307329280.

The previous prime is 2315344030099. The next prime is 2315344030121. The reversal of 2315344030120 is 210304435132.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2315344030121) 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, 29820069 + ... + 29897611.

It is an arithmetic number, because the mean of its divisors is an integer number (45014292000).

Almost surely, 22315344030120 is an apocalyptic number.

2315344030120 is a gapful number since it is divisible by the number (20) 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 2315344030120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2880914688000).

2315344030120 is an abundant number, since it is smaller than the sum of its proper divisors (3446485345880).

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

2315344030120 is a wasteful number, since it uses less digits than its factorization.

2315344030120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78503 (or 78499 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 2315344030120 its reverse (210304435132), we get a palindrome (2525648465252).

The spelling of 2315344030120 in words is "two trillion, three hundred fifteen billion, three hundred forty-four million, thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 79 88 110 158 220 316 395 440 632 790 859 869 1580 1718 1738 3160 3436 3476 4295 4345 6872 6952 8590 8690 9449 17180 17380 18898 34360 34760 37796 47245 67861 75592 77543 94490 135722 155086 188980 271444 310172 339305 377960 387715 542888 620344 678610 746471 775430 852973 1357220 1492942 1550860 1705946 2714440 2985884 3101720 3411892 3732355 4264865 5971768 6125897 6823784 7464710 8529730 12251794 14929420 17059460 24503588 29858840 30629485 34118920 49007176 61258970 66609437 67384867 122517940 133218874 134769734 245035880 266437748 269539468 333047185 336924335 532875496 539078936 666094370 673848670 732703807 1332188740 1347697340 1465407614 2664377480 2695394680 2930815228 3663519035 5262145523 5861630456 7327038070 10524291046 14654076140 21048582092 26310727615 29308152280 42097164184 52621455230 57883600753 105242910460 115767201506 210485820920 231534403012 289418003765 463068806024 578836007530 1157672015060 2315344030120