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2313114120 = 2332510163617
BaseRepresentation
bin1000100111011111…
…0101001000001000
312222012112101001100
42021313311020020
514214124122440
61021310021400
7111215100642
oct21167651010
95865471040
102313114120
11a87768969
125467a7860
132ab2b72a5
1417d2c3892
15d8112230
hex89df5208

2313114120 has 96 divisors (see below), whose sum is σ = 7592172120. Its totient is φ = 610713600.

The previous prime is 2313114109. The next prime is 2313114143. The reversal of 2313114120 is 214113132.

2313114120 is a `hidden beast` number, since 231 + 311 + 4 + 120 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2268997956 + 44116164 = 47634^2 + 6642^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2313114093 and 2313114102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4552 + ... + 68168.

Almost surely, 22313114120 is an apocalyptic number.

2313114120 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 2313114120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3796086060).

2313114120 is an abundant number, since it is smaller than the sum of its proper divisors (5279058000).

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

2313114120 is a wasteful number, since it uses less digits than its factorization.

2313114120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63735 (or 63728 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2313114120 is about 48094.8450460130. The cubic root of 2313114120 is about 1322.5101684342.

Adding to 2313114120 its reverse (214113132), we get a palindrome (2527227252).

The spelling of 2313114120 in words is "two billion, three hundred thirteen million, one hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 101 120 180 202 303 360 404 505 606 808 909 1010 1212 1515 1818 2020 2424 3030 3636 4040 4545 6060 7272 9090 12120 18180 36360 63617 127234 190851 254468 318085 381702 508936 572553 636170 763404 954255 1145106 1272340 1526808 1908510 2290212 2544680 2862765 3817020 4580424 5725530 6425317 7634040 11451060 12850634 19275951 22902120 25701268 32126585 38551902 51402536 57827853 64253170 77103804 96379755 115655706 128506340 154207608 192759510 231311412 257012680 289139265 385519020 462622824 578278530 771038040 1156557060 2313114120