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10214143014030 = 23529532111049843
BaseRepresentation
bin1001010010100010101001…
…0111011011010010001110
31100011110111012002111021020
42110220222113123102032
52314322031102422110
633420151301015010
72102642662052334
oct224505227332216
940143435074236
1010214143014030
1132888804a3a6a
12118b69b9b4466
135912605aa747
1427451d6b3b54
1512aa5ed49d70
hex94a2a5db48e

10214143014030 has 128 divisors (see below), whose sum is σ = 25960206481920. Its totient is φ = 2567997519360.

The previous prime is 10214143014007. The next prime is 10214143014041. The reversal of 10214143014030 is 3041034141201.

It is a super-3 number, since 3×102141430140303 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

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, 9204289 + ... + 10254131.

It is an arithmetic number, because the mean of its divisors is an integer number (202814113140).

Almost surely, 210214143014030 is an apocalyptic number.

10214143014030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10214143014030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12980103240960).

10214143014030 is an abundant number, since it is smaller than the sum of its proper divisors (15746063467890).

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

10214143014030 is a wasteful number, since it uses less digits than its factorization.

10214143014030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050146.

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

Adding to 10214143014030 its reverse (3041034141201), we get a palindrome (13255177155231).

The spelling of 10214143014030 in words is "ten trillion, two hundred fourteen billion, one hundred forty-three million, fourteen thousand, thirty".

Divisors: 1 2 3 5 6 10 15 29 30 53 58 87 106 145 159 174 211 265 290 318 422 435 530 633 795 870 1055 1266 1537 1590 2110 3074 3165 4611 6119 6330 7685 9222 11183 12238 15370 18357 22366 23055 30595 33549 36714 46110 55915 61190 67098 91785 111830 167745 183570 324307 335490 648614 972921 1049843 1621535 1945842 2099686 3149529 3243070 4864605 5249215 6299058 9729210 10498430 15747645 30445447 31495290 55641679 60890894 91336341 111283358 152227235 166925037 182672682 221516873 278208395 304454470 333850074 443033746 456681705 556416790 664550619 834625185 913363410 1107584365 1329101238 1613608691 1669250370 2215168730 3227217382 3322753095 4840826073 6423989317 6645506190 8068043455 9681652146 11740394269 12847978634 16136086910 19271967951 23480788538 24204130365 32119946585 35221182807 38543935902 48408260730 58701971345 64239893170 70442365614 96359839755 117403942690 176105914035 192719679510 340471433801 352211828070 680942867602 1021414301403 1702357169005 2042828602806 3404714338010 5107071507015 10214143014030