Search a number
-
+
2310010120 = 2351119214543
BaseRepresentation
bin1000100110101111…
…1111010100001000
312221222200200011101
42021223333110020
514212330310440
61021115311144
7111146522245
oct21153772410
95858620141
102310010120
11a85a38880
1254574b4b4
132aa76b4c2
1417cb165cc
15d7bec69a
hex89aff508

2310010120 has 96 divisors (see below), whose sum is σ = 5984565120. Its totient is φ = 795738240.

The previous prime is 2310010111. The next prime is 2310010123. The reversal of 2310010120 is 210100132.

2310010120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×23100101202 = 10672293509004828800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 2310010097 and 2310010106.

It is not an unprimeable number, because it can be changed into a prime (2310010123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151569 + ... + 166111.

It is an arithmetic number, because the mean of its divisors is an integer number (62339220).

Almost surely, 22310010120 is an apocalyptic number.

2310010120 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 2310010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2992282560).

2310010120 is an abundant number, since it is smaller than the sum of its proper divisors (3674555000).

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

2310010120 is a wasteful number, since it uses less digits than its factorization.

2310010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14603 (or 14580 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 2310010120 is about 48062.5646423492. The cubic root of 2310010120 is about 1321.9183386991.

Adding to 2310010120 its reverse (210100132), we get a palindrome (2520110252).

The spelling of 2310010120 in words is "two billion, three hundred ten million, ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 110 152 190 209 220 361 380 418 440 722 760 836 1045 1444 1672 1805 2090 2888 3610 3971 4180 7220 7942 8360 14440 14543 15884 19855 29086 31768 39710 58172 72715 79420 116344 145430 158840 159973 276317 290860 319946 552634 581720 639892 799865 1105268 1279784 1381585 1599730 2210536 2763170 3039487 3199460 5250023 5526340 6078974 6398920 10500046 11052680 12157948 15197435 21000092 24315896 26250115 30394870 42000184 52500230 57750253 60789740 105000460 115500506 121579480 210000920 231001012 288751265 462002024 577502530 1155005060 2310010120