Search a number
-
+
5011303200 = 2535219109897
BaseRepresentation
bin1001010101011001…
…00110101100100000
3110221020122120122020
410222230212230200
540230343200300
62145133341440
7235120242261
oct45254465440
913836576566
105011303200
1121418282a2
12b7a337880
1361b2b8687
143577a4968
151e4e3a8a0
hex12ab26b20

5011303200 has 144 divisors (see below), whose sum is σ = 17170463520. Its totient is φ = 1266001920.

The previous prime is 5011303177. The next prime is 5011303207. The reversal of 5011303200 is 23031105.

It is a happy number.

It is a super-2 number, since 2×50113032002 = 50226319524660480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 5011303200.

It is not an unprimeable number, because it can be changed into a prime (5011303207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9349 + ... + 100548.

It is an arithmetic number, because the mean of its divisors is an integer number (119239330).

Almost surely, 25011303200 is an apocalyptic number.

5011303200 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 5011303200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8585231760).

5011303200 is an abundant number, since it is smaller than the sum of its proper divisors (12159160320).

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

5011303200 is a wasteful number, since it uses less digits than its factorization.

5011303200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109939 (or 109926 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 5011303200 is about 70790.5586925262. The cubic root of 5011303200 is about 1711.2635235890.

Adding to 5011303200 its reverse (23031105), we get a palindrome (5034334305).

The spelling of 5011303200 in words is "five billion, eleven million, three hundred three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 30 32 38 40 48 50 57 60 75 76 80 95 96 100 114 120 150 152 160 190 200 228 240 285 300 304 380 400 456 475 480 570 600 608 760 800 912 950 1140 1200 1425 1520 1824 1900 2280 2400 2850 3040 3800 4560 5700 7600 9120 11400 15200 22800 45600 109897 219794 329691 439588 549485 659382 879176 1098970 1318764 1648455 1758352 2088043 2197940 2637528 2747425 3296910 3516704 4176086 4395880 5275056 5494850 6264129 6593820 8242275 8352172 8791760 10440215 10550112 10989700 12528258 13187640 16484550 16704344 17583520 20880430 21979400 25056516 26375280 31320645 32969100 33408688 41760860 43958800 50113032 52201075 52750560 62641290 65938200 66817376 83521720 87917600 100226064 104402150 125282580 131876400 156603225 167043440 200452128 208804300 250565160 263752800 313206450 334086880 417608600 501130320 626412900 835217200 1002260640 1252825800 1670434400 2505651600 5011303200