Search a number
-
+
113114234324120 = 23531892339438203
BaseRepresentation
bin11001101110000001110101…
…110000011000010010011000
3112211111121121110211222122112
4121232001311300120102120
5104311230422441332440
61040323543433211452
732553143113513451
oct3156016560302230
9484447543758575
10113114234324120
11330505284373a7
121082a368260b88
134b1681b634193
141dd0a8852a128
15d12562b5d965
hex66e075c18498

113114234324120 has 128 divisors (see below), whose sum is σ = 265782995712000. Its totient is φ = 43275567498240.

The previous prime is 113114234324099. The next prime is 113114234324137. The reversal of 113114234324120 is 21423432411311.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 257912939 + ... + 258351141.

It is an arithmetic number, because the mean of its divisors is an integer number (2076429654000).

Almost surely, 2113114234324120 is an apocalyptic number.

113114234324120 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 113114234324120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132891497856000).

113114234324120 is an abundant number, since it is smaller than the sum of its proper divisors (152668761387880).

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

113114234324120 is a wasteful number, since it uses less digits than its factorization.

113114234324120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440673 (or 440669 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 113114234324120 its reverse (21423432411311), we get a palindrome (134537666735431).

The spelling of 113114234324120 in words is "one hundred thirteen trillion, one hundred fourteen billion, two hundred thirty-four million, three hundred twenty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 89 124 155 178 248 310 356 445 620 712 890 1240 1780 2339 2759 3560 4678 5518 9356 11036 11695 13795 18712 22072 23390 27590 46780 55180 72509 93560 110360 145018 208171 290036 362545 416342 438203 580072 725090 832684 876406 1040855 1450180 1665368 1752812 2081710 2191015 2900360 3505624 4163420 4382030 6453301 8326840 8764060 12906602 13584293 17528120 25813204 27168586 32266505 39000067 51626408 54337172 64533010 67921465 78000134 108674344 129066020 135842930 156000268 195000335 258132040 271685860 312000536 390000670 543371720 780001340 1024956817 1209002077 1560002680 2049913634 2418004154 4099827268 4836008308 5124784085 6045010385 8199654536 9672016616 10249568170 12090020770 20499136340 24180041540 31773661327 40998272680 48360083080 63547322654 91221156713 127094645308 158868306635 182442313426 254189290616 317736613270 364884626852 456105783565 635473226540 729769253704 912211567130 1270946453080 1824423134260 2827855858103 3648846268520 5655711716206 11311423432412 14139279290515 22622846864824 28278558581030 56557117162060 113114234324120