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2114012103320 = 2351329612298139
BaseRepresentation
bin11110110000110100111…
…100001100001010011000
321111002122010201210102102
4132300310330030022120
5234113444044301240
64255055212022532
7305506122251525
oct36606474141230
97432563653372
102114012103320
117456027a1567
122a1862461a48
1312447302c9c0
147446685814c
1539ecc43b815
hex1ec34f0c298

2114012103320 has 128 divisors (see below), whose sum is σ = 5385920904000. Its totient is φ = 741287393280.

The previous prime is 2114012103319. The next prime is 2114012103367. The reversal of 2114012103320 is 233012104112.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2114012103292 and 2114012103301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 229190 + ... + 2068949.

Almost surely, 22114012103320 is an apocalyptic number.

2114012103320 is a gapful number since it is divisible by the number (20) 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 2114012103320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2692960452000).

2114012103320 is an abundant number, since it is smaller than the sum of its proper divisors (3271908800680).

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

2114012103320 is a wasteful number, since it uses less digits than its factorization.

2114012103320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2298253 (or 2298249 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 2114012103320 its reverse (233012104112), we get a palindrome (2347024207432).

The spelling of 2114012103320 in words is "two trillion, one hundred fourteen billion, twelve million, one hundred three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 29 40 52 58 61 65 104 116 122 130 145 232 244 260 290 305 377 488 520 580 610 754 793 1160 1220 1508 1586 1769 1885 2440 3016 3172 3538 3770 3965 6344 7076 7540 7930 8845 14152 15080 15860 17690 22997 31720 35380 45994 70760 91988 114985 183976 229970 459940 919880 2298139 4596278 9192556 11490695 18385112 22981390 29875807 45962780 59751614 66646031 91925560 119503228 133292062 140186479 149379035 239006456 266584124 280372958 298758070 333230155 533168248 560745916 597516140 666460310 700932395 866398403 1121491832 1195032280 1332920620 1401864790 1732796806 1822424227 2665841240 2803729580 3465593612 3644848454 4065407891 4331992015 5607459160 6931187224 7289696908 8130815782 8663984030 9112121135 14579393816 16261631564 17327968060 18224242270 20327039455 32523263128 34655936120 36448484540 40654078910 52850302583 72896969080 81308157820 105700605166 162616315640 211401210332 264251512915 422802420664 528503025830 1057006051660 2114012103320