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2431102313120 = 255131861628049
BaseRepresentation
bin100011011000001000111…
…111010110001010100000
322121102002200220102122212
4203120020333112022200
5304312344143004440
65100455531421252
7340432660463555
oct43301077261240
98542080812585
102431102313120
1185802a971398
123331b72b4828
13148337748290
148594763ca2c
154338a191465
hex23608fd62a0

2431102313120 has 96 divisors (see below), whose sum is σ = 6188618797200. Its totient is φ = 897154007040.

The previous prime is 2431102313111. The next prime is 2431102313177. The reversal of 2431102313120 is 213132011342.

It can be written as a sum of positive squares in 8 ways, for example, as 35093776 + 2431067219344 = 5924^2 + 1559188^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3556856 + ... + 4184904.

Almost surely, 22431102313120 is an apocalyptic number.

2431102313120 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 2431102313120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3094309398600).

2431102313120 is an abundant number, since it is smaller than the sum of its proper divisors (3757516484080).

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

2431102313120 is a wasteful number, since it uses less digits than its factorization.

2431102313120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629938 (or 629930 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 2431102313120 its reverse (213132011342), we get a palindrome (2644234324462).

The spelling of 2431102313120 in words is "two trillion, four hundred thirty-one billion, one hundred two million, three hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 1861 2080 3722 7444 9305 14888 18610 24193 29776 37220 48386 59552 74440 96772 120965 148880 193544 241930 297760 387088 483860 628049 774176 967720 1256098 1935440 2512196 3140245 3870880 5024392 6280490 8164637 10048784 12560980 16329274 20097568 25121960 32658548 40823185 50243920 65317096 81646370 100487840 130634192 163292740 261268384 326585480 653170960 1168799189 1306341920 2337598378 4675196756 5843995945 9350393512 11687991890 15194389457 18700787024 23375983780 30388778914 37401574048 46751967560 60777557828 75971947285 93503935120 121555115656 151943894570 187007870240 243110231312 303887789140 486220462624 607775578280 1215551156560 2431102313120