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5200105212 = 22321955713649
BaseRepresentation
bin1001101011111001…
…10100111011111100
3111102101220201022100
410311330310323330
541122211331322
62220000145100
7242602110411
oct46574647374
914371821270
105200105212
112229362015
121011608190
1364b451a43
143748b0108
152067d1dac
hex135f34efc

5200105212 has 72 divisors (see below), whose sum is σ = 13862394000. Its totient is φ = 1639070208.

The previous prime is 5200105201. The next prime is 5200105271. The reversal of 5200105212 is 2125010025.

It is a super-3 number, since 3×52001052123 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 374164 + ... + 387812.

It is an arithmetic number, because the mean of its divisors is an integer number (192533250).

Almost surely, 25200105212 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 5200105212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6931197000).

5200105212 is an abundant number, since it is smaller than the sum of its proper divisors (8662288788).

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

5200105212 is a wasteful number, since it uses less digits than its factorization.

5200105212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14235 (or 14230 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 5200105212 is about 72111.7550195528. The cubic root of 5200105212 is about 1732.4898950580.

Adding to 5200105212 its reverse (2125010025), we get a palindrome (7325115237).

The spelling of 5200105212 in words is "five billion, two hundred million, one hundred five thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 557 684 1114 1671 2228 3342 5013 6684 10026 10583 13649 20052 21166 27298 31749 40947 42332 54596 63498 81894 95247 122841 126996 163788 190494 245682 259331 380988 491364 518662 777993 1037324 1555986 2333979 3111972 4667958 7602493 9335916 15204986 22807479 30409972 45614958 68422437 91229916 136844874 144447367 273689748 288894734 433342101 577789468 866684202 1300026303 1733368404 2600052606 5200105212