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2502313000 = 2353111092087
BaseRepresentation
bin1001010100100110…
…0100010000101000
320110101112200010021
42111021210100220
520111043004000
61052145130224
7116003211115
oct22511442050
96411480107
102502313000
111074543880
1259a029974
1330b55c1a5
1419a49390c
15e9a3611a
hex95264428

2502313000 has 128 divisors (see below), whose sum is σ = 6449414400. Its totient is φ = 901152000.

The previous prime is 2502312983. The next prime is 2502313013. The reversal of 2502313000 is 3132052.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1197957 + ... + 1200043.

It is an arithmetic number, because the mean of its divisors is an integer number (50386050).

Almost surely, 22502313000 is an apocalyptic number.

2502313000 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 2502313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3224707200).

2502313000 is an abundant number, since it is smaller than the sum of its proper divisors (3947101400).

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

2502313000 is a wasteful number, since it uses less digits than its factorization.

2502313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2228 (or 2214 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 2502313000 is about 50023.1246525045. The cubic root of 2502313000 is about 1357.6272424754.

Adding to 2502313000 its reverse (3132052), we get a palindrome (2505445052).

The spelling of 2502313000 in words is "two billion, five hundred two million, three hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 109 110 125 200 218 220 250 275 436 440 500 545 550 872 1000 1090 1100 1199 1375 2087 2180 2200 2398 2725 2750 4174 4360 4796 5450 5500 5995 8348 9592 10435 10900 11000 11990 13625 16696 20870 21800 22957 23980 27250 29975 41740 45914 47960 52175 54500 59950 83480 91828 104350 109000 114785 119900 149875 183656 208700 227483 229570 239800 260875 299750 417400 454966 459140 521750 573925 599500 909932 918280 1043500 1137415 1147850 1199000 1819864 2087000 2274830 2295700 2502313 2869625 4549660 4591400 5004626 5687075 5739250 9099320 10009252 11374150 11478500 12511565 20018504 22748300 22957000 25023130 28435375 45496600 50046260 56870750 62557825 100092520 113741500 125115650 227483000 250231300 312789125 500462600 625578250 1251156500 2502313000