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5013363100 = 22523747127227
BaseRepresentation
bin1001010101101000…
…11101100110011100
3110221101112020021211
410222310131212130
540231410104400
62145245434204
7235143611644
oct45264354634
913841466254
105013363100
112142a04999
12b7ab6b964
1361b85a155
14357b7d524
151e51e5dba
hex12ad1d99c

5013363100 has 144 divisors (see below), whose sum is σ = 11551260672. Its totient is φ = 1886250240.

The previous prime is 5013363083. The next prime is 5013363101. The reversal of 5013363100 is 13633105.

It is a super-2 number, since 2×50133631002 = 50267619144883220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5013363101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22085187 + ... + 22085413.

It is an arithmetic number, because the mean of its divisors is an integer number (80217088).

Almost surely, 25013363100 is an apocalyptic number.

5013363100 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 5013363100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5775630336).

5013363100 is an abundant number, since it is smaller than the sum of its proper divisors (6537897572).

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

5013363100 is a wasteful number, since it uses less digits than its factorization.

5013363100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 22.

The square root of 5013363100 is about 70805.1064542664. The cubic root of 5013363100 is about 1711.4979635282.

Adding to 5013363100 its reverse (13633105), we get a palindrome (5026996205).

The spelling of 5013363100 in words is "five billion, thirteen million, three hundred sixty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 37 47 50 74 94 100 127 148 185 188 227 235 254 370 454 470 508 635 740 908 925 940 1135 1175 1270 1739 1850 2270 2350 2540 3175 3478 3700 4540 4699 4700 5675 5969 6350 6956 8399 8695 9398 10669 11350 11938 12700 16798 17390 18796 21338 22700 23495 23876 28829 29845 33596 34780 41995 42676 43475 46990 53345 57658 59690 83990 86950 93980 106690 115316 117475 119380 144145 149225 167980 173900 209975 213380 220853 234950 266725 288290 298450 394753 419950 441706 469900 533450 576580 596900 720725 789506 839900 883412 1066673 1066900 1104265 1354963 1441450 1579012 1973765 2133346 2208530 2709926 2882900 3947530 4266692 4417060 5333365 5419852 5521325 6774815 7895060 9868825 10666730 11042650 13549630 19737650 21333460 22085300 26666825 27099260 33874075 39475300 50133631 53333650 67748150 100267262 106667300 135496300 200534524 250668155 501336310 1002672620 1253340775 2506681550 5013363100