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5002031100 = 2235211312527
BaseRepresentation
bin1001010100010010…
…01110111111111100
3110220121012111201010
410222021032333330
540221004443400
62144202515220
7234645364023
oct45211167774
913817174633
105002031100
112137575000
12b77205b10
136193c0221
1435646d8ba
151e4208450
hex12a24effc

5002031100 has 144 divisors (see below), whose sum is σ = 15919981056. Its totient is φ = 1212516800.

The previous prime is 5002031081. The next prime is 5002031101. The reversal of 5002031100 is 11302005.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5002031101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 393037 + ... + 405563.

It is an arithmetic number, because the mean of its divisors is an integer number (110555424).

Almost surely, 25002031100 is an apocalyptic number.

5002031100 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 5002031100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7959990528).

5002031100 is an abundant number, since it is smaller than the sum of its proper divisors (10917949956).

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

5002031100 is a wasteful number, since it uses less digits than its factorization.

5002031100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12577 (or 12548 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 5002031100 is about 70725.0387062460. The cubic root of 5002031100 is about 1710.2074574744.

Adding to 5002031100 its reverse (11302005), we get a palindrome (5013333105).

The spelling of 5002031100 in words is "five billion, two million, thirty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 121 132 150 165 220 242 275 300 330 363 484 550 605 660 726 825 1100 1210 1331 1452 1650 1815 2420 2662 3025 3300 3630 3993 5324 6050 6655 7260 7986 9075 12100 12527 13310 15972 18150 19965 25054 26620 33275 36300 37581 39930 50108 62635 66550 75162 79860 99825 125270 133100 137797 150324 187905 199650 250540 275594 313175 375810 399300 413391 551188 626350 688985 751620 826782 939525 1252700 1377970 1515767 1653564 1879050 2066955 2755940 3031534 3444925 3758100 4133910 4547301 6063068 6889850 7578835 8267820 9094602 10334775 13779700 15157670 16673437 18189204 20669550 22736505 30315340 33346874 37894175 41339100 45473010 50020311 66693748 75788350 83367185 90946020 100040622 113682525 151576700 166734370 200081244 227365050 250101555 333468740 416835925 454730100 500203110 833671850 1000406220 1250507775 1667343700 2501015550 5002031100