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10314020303034 = 237380921792843
BaseRepresentation
bin1001011000010110101110…
…0001000011000010111010
31100112000021210211110200020
42112011223201003002322
52322441103144144114
633534110121551310
72113110016026000
oct226055341030272
940460253743606
1010314020303034
113317173636518
1211a6b14645536
1359a7b9854316
142792b6310a70
1512d4583e5aa9
hex9616b8430ba

10314020303034 has 128 divisors (see below), whose sum is σ = 24105288960000. Its totient is φ = 2940834847104.

The previous prime is 10314020303029. The next prime is 10314020303047. The reversal of 10314020303034 is 43030302041301.

It is a super-2 number, since 2×103140203030342 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10314020302995 and 10314020303013.

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 63 ways as a sum of consecutive naturals, for example, 3627863617 + ... + 3627866459.

It is an arithmetic number, because the mean of its divisors is an integer number (188322570000).

Almost surely, 210314020303034 is an apocalyptic number.

10314020303034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10314020303034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12052644480000).

10314020303034 is an abundant number, since it is smaller than the sum of its proper divisors (13791268656966).

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

10314020303034 is a wasteful number, since it uses less digits than its factorization.

10314020303034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5857 (or 5843 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 10314020303034 its reverse (43030302041301), we get a palindrome (53344322344335).

The spelling of 10314020303034 in words is "ten trillion, three hundred fourteen billion, twenty million, three hundred three thousand, thirty-four".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 343 686 809 1029 1618 2058 2179 2427 2843 4358 4854 5663 5686 6537 8529 11326 13074 15253 16989 17058 19901 30506 33978 39641 39802 45759 59703 79282 91518 106771 118923 119406 139307 213542 237846 277487 278614 320313 417921 554974 640626 747397 832461 835842 975149 1494794 1664922 1762811 1950298 2242191 2299987 2925447 3525622 4484382 4599974 5288433 5850894 6194897 6899961 10576866 12339677 12389794 13799922 16099909 18584691 24679354 32199818 37019031 37169382 43364279 48299727 74038062 86377739 86728558 96599454 112699363 130092837 172755478 225398726 259133217 260185674 303549953 338098089 518266434 604644173 607099906 676196178 788895541 910649859 1209288346 1577791082 1813932519 1821299718 2124849671 2366686623 3627865038 4249699342 4733373246 5011671673 6374549013 10023343346 12749098026 15035015019 30070030038 35081701711 70163403422 105245105133 210490210266 245571911977 491143823954 736715735931 1473431471862 1719003383839 3438006767678 5157010151517 10314020303034