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5110203520 = 275191133719
BaseRepresentation
bin1001100001001011…
…11000010010000000
3111012010202020101001
410300211320102000
540431203003040
62203025221344
7240431004352
oct46045702200
914163666331
105110203520
1121926385a4
12ba7491854
13635935786
1436698b0d2
151ed97459a
hex130978480

5110203520 has 128 divisors (see below), whose sum is σ = 12976848000. Its totient is φ = 1918844928.

The previous prime is 5110203499. The next prime is 5110203529. The reversal of 5110203520 is 253020115.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×51102035202 = 52228360031640780800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (5110203529) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1372221 + ... + 1375939.

It is an arithmetic number, because the mean of its divisors is an integer number (101381625).

Almost surely, 25110203520 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5110203520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6488424000).

5110203520 is an abundant number, since it is smaller than the sum of its proper divisors (7866644480).

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

5110203520 is a wasteful number, since it uses less digits than its factorization.

5110203520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3870 (or 3858 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 5110203520 is about 71485.6875185516. The cubic root of 5110203520 is about 1722.4477857843.

Adding to 5110203520 its reverse (253020115), we get a palindrome (5363223635).

The spelling of 5110203520 in words is "five billion, one hundred ten million, two hundred three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 113 128 152 160 190 226 304 320 380 452 565 608 640 760 904 1130 1216 1520 1808 2147 2260 2432 3040 3616 3719 4294 4520 6080 7232 7438 8588 9040 10735 12160 14464 14876 17176 18080 18595 21470 29752 34352 36160 37190 42940 59504 68704 70661 72320 74380 85880 119008 137408 141322 148760 171760 238016 274816 282644 297520 343520 353305 420247 476032 565288 595040 687040 706610 840494 1130576 1190080 1374080 1413220 1680988 2101235 2261152 2380160 2826440 3361976 4202470 4522304 5652880 6723952 7984693 8404940 9044608 11305760 13447904 15969386 16809880 22611520 26895808 31938772 33619760 39923465 45223040 53791616 63877544 67239520 79846930 127755088 134479040 159693860 255510176 268958080 319387720 511020352 638775440 1022040704 1277550880 2555101760 5110203520