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212401442130 = 2351923137118259
BaseRepresentation
bin1100010111010000011…
…1001100110101010010
3202022020121210012220220
43011310013030311102
511434444232122010
6241324220013510
721226335316653
oct3056407146522
9668217705826
10212401442130
1182096093229
12351b8991296
131704c6ab807
14a3cd15b52a
1557d2090970
hex31741ccd52

212401442130 has 128 divisors (see below), whose sum is σ = 564015052800. Its totient is φ = 50951222784.

The previous prime is 212401442101. The next prime is 212401442147. The reversal of 212401442130 is 31244104212.

It is a super-2 number, since 2×2124014421302 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 212401442130.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1736941 + ... + 1855199.

It is an arithmetic number, because the mean of its divisors is an integer number (4406367600).

Almost surely, 2212401442130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212401442130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282007526400).

212401442130 is an abundant number, since it is smaller than the sum of its proper divisors (351613610670).

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

212401442130 is a wasteful number, since it uses less digits than its factorization.

212401442130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118448.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 212401442130 its reverse (31244104212), we get a palindrome (243645546342).

The spelling of 212401442130 in words is "two hundred twelve billion, four hundred one million, four hundred forty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 23 30 38 46 57 69 95 114 115 137 138 190 230 274 285 345 411 437 570 685 690 822 874 1311 1370 2055 2185 2603 2622 3151 4110 4370 5206 6302 6555 7809 9453 13015 13110 15618 15755 18906 26030 31510 39045 47265 59869 78090 94530 118259 119738 179607 236518 299345 354777 359214 591295 598690 709554 898035 1182590 1773885 1796070 2246921 2719957 3547770 4493842 5439914 6740763 8159871 11234605 13481526 13599785 16201483 16319742 22469210 27199570 32402966 33703815 40799355 48604449 51679183 67407630 81007415 81598710 97208898 103358366 155037549 162014830 243022245 258395915 307828177 310075098 372634109 486044490 516791830 615656354 745268218 775187745 923484531 1117902327 1539140885 1550375490 1846969062 1863170545 2235804654 3078281770 3726341090 4617422655 5589511635 7080048071 9234845310 11179023270 14160096142 21240144213 35400240355 42480288426 70800480710 106200721065 212401442130