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5110200200 = 2352722917981
BaseRepresentation
bin1001100001001011…
…10111011110001000
3111012010202001211002
410300211313132020
540431202401300
62203025154132
7240430661600
oct46045673610
914163661732
105110200200
112192636056
12ba748b948
13635934101
14366989c00
151ed9735d5
hex130977788

5110200200 has 144 divisors (see below), whose sum is σ = 14298387300. Its totient is φ = 1691558400.

The previous prime is 5110200149. The next prime is 5110200209. The reversal of 5110200200 is 20020115.

It can be written as a sum of positive squares in 6 ways, for example, as 3669694084 + 1440506116 = 60578^2 + 37954^2 .

It is a super-2 number, since 2×51102002002 = 52228292168160080000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5110200209) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 275210 + ... + 293190.

Almost surely, 25110200200 is an apocalyptic number.

5110200200 is a gapful number since it is divisible by the number (50) 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 5110200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7149193650).

5110200200 is an abundant number, since it is smaller than the sum of its proper divisors (9188187100).

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

5110200200 is a wasteful number, since it uses less digits than its factorization.

5110200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18040 (or 18024 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 5110200200 is about 71485.6642971162. The cubic root of 5110200200 is about 1722.4474127706.

Adding to 5110200200 its reverse (20020115), we get a palindrome (5130220315).

The spelling of 5110200200 in words is "five billion, one hundred ten million, two hundred thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 29 35 40 49 50 56 58 70 98 100 116 140 145 175 196 200 203 232 245 280 290 350 392 406 490 580 700 725 812 980 1015 1160 1225 1400 1421 1450 1624 1960 2030 2450 2842 2900 4060 4900 5075 5684 5800 7105 8120 9800 10150 11368 14210 17981 20300 28420 35525 35962 40600 56840 71050 71924 89905 125867 142100 143848 179810 251734 284200 359620 449525 503468 521449 629335 719240 881069 899050 1006936 1042898 1258670 1762138 1798100 2085796 2517340 2607245 3146675 3524276 3596200 3650143 4171592 4405345 5034680 5214490 6293350 7048552 7300286 8810690 10428980 12586700 13036225 14600572 17621380 18250715 20857960 22026725 25173400 25551001 26072450 29201144 35242760 36501430 44053450 51102002 52144900 73002860 88106900 91253575 102204004 104289800 127755005 146005720 176213800 182507150 204408008 255510010 365014300 511020020 638775025 730028600 1022040040 1277550050 2555100100 5110200200