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5210310120 = 2335316122961
BaseRepresentation
bin1001101101000111…
…10000010111101000
3111110010010011210220
410312203300113220
541132314410440
62221003010040
7243054622341
oct46643602750
914403104726
105210310120
1122340a2124
121014b09920
136505b5952
14375da90c8
1520764a8d0
hex1368f05e8

5210310120 has 128 divisors (see below), whose sum is σ = 16400378880. Its totient is φ = 1322496000.

The previous prime is 5210310113. The next prime is 5210310139. The reversal of 5210310120 is 210130125.

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 5210310120.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 215440 + ... + 238400.

It is an arithmetic number, because the mean of its divisors is an integer number (128127960).

Almost surely, 25210310120 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 5210310120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8200189440).

5210310120 is an abundant number, since it is smaller than the sum of its proper divisors (11190068760).

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

5210310120 is a wasteful number, since it uses less digits than its factorization.

5210310120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23067 (or 23063 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 5210310120 is about 72182.4779292038. The cubic root of 5210310120 is about 1733.6224585094.

Adding to 5210310120 its reverse (210130125), we get a palindrome (5420440245).

The spelling of 5210310120 in words is "five billion, two hundred ten million, three hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 61 62 93 120 122 124 155 183 186 244 248 305 310 366 372 465 488 610 620 732 744 915 930 1220 1240 1464 1830 1860 1891 2440 3660 3720 3782 5673 7320 7564 9455 11346 15128 18910 22692 22961 28365 37820 45384 45922 56730 68883 75640 91844 113460 114805 137766 183688 226920 229610 275532 344415 459220 551064 688830 711791 918440 1377660 1400621 1423582 2135373 2755320 2801242 2847164 3558955 4201863 4270746 5602484 5694328 7003105 7117910 8403726 8541492 10676865 11204968 14006210 14235820 16807452 17082984 21009315 21353730 28012420 28471640 33614904 42018630 42707460 43419251 56024840 84037260 85414920 86838502 130257753 168074520 173677004 217096255 260515506 347354008 434192510 521031012 651288765 868385020 1042062024 1302577530 1736770040 2605155060 5210310120