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214310211002034 = 237236712832580859
BaseRepresentation
bin110000101110100111111011…
…111111111001111010110010
31001002210212010002021200120120
4300232213323333321322302
5211042224303004031114
62035444430214551110
763066254546002050
oct6056477377717262
91032725102250516
10214310211002034
11623164a5067194
1220052908068496
13927749b668b64
143acc9533a11d0
1519b9a78cd85a9
hexc2e9fbff9eb2

214310211002034 has 128 divisors (see below), whose sum is σ = 519183471329280. Its totient is φ = 57650091073344.

The previous prime is 214310211002021. The next prime is 214310211002051. The reversal of 214310211002034 is 430200112013412.

It is a junction number, because it is equal to n+sod(n) for n = 214310211001995 and 214310211002013.

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, 81747897 + ... + 84328755.

It is an arithmetic number, because the mean of its divisors is an integer number (4056120869760).

Almost surely, 2214310211002034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214310211002034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259591735664640).

214310211002034 is an abundant number, since it is smaller than the sum of its proper divisors (304873260327246).

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

214310211002034 is a wasteful number, since it uses less digits than its factorization.

214310211002034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2582244.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 214310211002034 its reverse (430200112013412), we get a palindrome (644510323015446).

The spelling of 214310211002034 in words is "two hundred fourteen trillion, three hundred ten billion, two hundred eleven million, two thousand, thirty-four".

Divisors: 1 2 3 6 7 14 21 23 42 46 67 69 134 138 161 201 322 402 469 483 938 966 1283 1407 1541 2566 2814 3082 3849 4623 7698 8981 9246 10787 17962 21574 26943 29509 32361 53886 59018 64722 85961 88527 171922 177054 206563 257883 413126 515766 601727 619689 1203454 1239378 1805181 1977103 2580859 3610362 3954206 5161718 5931309 7742577 11862618 13839721 15485154 18066013 27679442 36132026 41519163 54198039 59359757 83038326 108396078 118719514 172917553 178079271 345835106 356158542 415518299 518752659 831036598 1037505318 1210422871 1246554897 2420845742 2493109794 3311242097 3631268613 3977103719 6622484194 7262537226 7954207438 9933726291 11931311157 19867452582 23178694679 23862622314 27839726033 46357389358 55679452066 69536084037 76158568231 83519178099 139072168074 152317136462 167038356198 221853220499 228475704693 443706440998 456951409386 533109977617 665559661497 1066219955234 1331119322994 1552972543493 1599329932851 3105945086986 3198659865702 4658917630479 5102624071477 9317835260958 10205248142954 15307872214431 30615744428862 35718368500339 71436737000678 107155105501017 214310211002034