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5020105200 = 2435211380311
BaseRepresentation
bin1001010110011100…
…01011100111110000
3110221212012202201020
410223032023213300
540240121331300
62150050135440
7235255122135
oct45316134760
913855182636
105020105200
11214679a380
12b81281580
1362007ab66
14358a1658c
151e5ac88a0
hex12b38b9f0

5020105200 has 120 divisors (see below), whose sum is σ = 17543031936. Its totient is φ = 1216992000.

The previous prime is 5020105193. The next prime is 5020105201. The reversal of 5020105200 is 25010205.

It is a tau number, because it is divible by the number of its divisors (120).

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 5020105200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5020105201) 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 23 ways as a sum of consecutive naturals, for example, 176956 + ... + 203355.

Almost surely, 25020105200 is an apocalyptic number.

5020105200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5020105200 is an abundant number, since it is smaller than the sum of its proper divisors (12522926736).

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

5020105200 is a wasteful number, since it uses less digits than its factorization.

5020105200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380343 (or 380332 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 5020105200 is about 70852.7007248136. The cubic root of 5020105200 is about 1712.2648420595.

Adding to 5020105200 its reverse (25010205), we get a palindrome (5045115405).

The spelling of 5020105200 in words is "five billion, twenty million, one hundred five thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 132 150 165 176 200 220 240 264 275 300 330 400 440 528 550 600 660 825 880 1100 1200 1320 1650 2200 2640 3300 4400 6600 13200 380311 760622 1140933 1521244 1901555 2281866 3042488 3803110 4183421 4563732 5704665 6084976 7606220 8366842 9127464 9507775 11409330 12550263 15212440 16733684 18254928 19015550 20917105 22818660 25100526 28523325 30424880 33467368 38031100 41834210 45637320 50201052 57046650 62751315 66934736 76062200 83668420 91274640 100402104 104585525 114093300 125502630 152124400 167336840 200804208 209171050 228186600 251005260 313756575 334673680 418342100 456373200 502010520 627513150 836684200 1004021040 1255026300 1673368400 2510052600 5020105200