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2316125020 = 2251129734973
BaseRepresentation
bin1000101000001101…
…0100001101011100
312222102012100020011
42022003110031130
514220412000040
61021454333004
7111252511036
oct21203241534
95872170204
102316125020
11a89435010
125477ba164
132abacc8a1
1417d868c56
15d85093ea
hex8a0d435c

2316125020 has 96 divisors (see below), whose sum is σ = 5565309120. Its totient is φ = 801884160.

The previous prime is 2316125011. The next prime is 2316125027. The reversal of 2316125020 is 205216132.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2316124982 and 2316125000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2316125027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 463254 + ... + 468226.

It is an arithmetic number, because the mean of its divisors is an integer number (57971970).

Almost surely, 22316125020 is an apocalyptic number.

2316125020 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 2316125020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2782654560).

2316125020 is an abundant number, since it is smaller than the sum of its proper divisors (3249184100).

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

2316125020 is a wasteful number, since it uses less digits than its factorization.

2316125020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5095 (or 5093 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 2316125020 is about 48126.1365580076. The cubic root of 2316125020 is about 1323.0837414311.

It can be divided in two parts, 231612 and 5020, that added together give a palindrome (236632).

The spelling of 2316125020 in words is "two billion, three hundred sixteen million, one hundred twenty-five thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 73 110 116 145 146 220 290 292 319 365 580 638 730 803 1276 1460 1595 1606 2117 3190 3212 4015 4234 4973 6380 8030 8468 9946 10585 16060 19892 21170 23287 24865 42340 46574 49730 54703 93148 99460 109406 116435 144217 218812 232870 273515 288434 363029 465740 547030 576868 721085 726058 1094060 1442170 1452116 1586387 1815145 2884340 3172774 3630290 3993319 6345548 7260580 7931935 7986638 10527841 15863870 15973276 19966595 21055682 31727740 39933190 42111364 52639205 79866380 105278410 115806251 210556820 231612502 463225004 579031255 1158062510 2316125020