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10030314420224 = 21174631511143
BaseRepresentation
bin1001000111110101110101…
…0100111111100000000000
31022111212222212011100122222
42101331131110333200000
52303314040442421344
633155510212150212
72053444353562220
oct221753524774000
938455885140588
1010030314420224
11321791800067a
12115bb38008368
13579b156c9b97
14269681222080
15125da14785ee
hex91f5d53f800

10030314420224 has 96 divisors (see below), whose sum is σ = 22970355932160. Its totient is φ = 4289418878976.

The previous prime is 10030314420221. The next prime is 10030314420227. The reversal of 10030314420224 is 42202441303001.

It is an interprime number because it is at equal distance from previous prime (10030314420221) and next prime (10030314420227).

It is a junction number, because it is equal to n+sod(n) for n = 10030314420193 and 10030314420202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10030314420221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5881997 + ... + 7393139.

It is an arithmetic number, because the mean of its divisors is an integer number (239274540960).

Almost surely, 210030314420224 is an apocalyptic number.

10030314420224 is a gapful number since it is divisible by the number (14) 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 10030314420224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11485177966080).

10030314420224 is an abundant number, since it is smaller than the sum of its proper divisors (12940041511936).

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

10030314420224 is an equidigital number, since it uses as much as digits as its factorization.

10030314420224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1511635 (or 1511615 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 10030314420224 its reverse (42202441303001), we get a palindrome (52232755723225).

The spelling of 10030314420224 in words is "ten trillion, thirty billion, three hundred fourteen million, four hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 463 512 896 926 1024 1792 1852 2048 3241 3584 3704 6482 7168 7408 12964 14336 14816 25928 29632 51856 59264 103712 118528 207424 237056 414848 474112 829696 948224 1511143 1659392 3022286 3318784 6044572 6637568 10578001 12089144 21156002 24178288 42312004 48356576 84624008 96713152 169248016 193426304 338496032 386852608 676992064 699659209 773705216 1353984128 1399318418 1547410432 2707968256 2798636836 3094820864 4897614463 5415936512 5597273672 9795228926 10831873024 11194547344 19590457852 21663746048 22389094688 39180915704 44778189376 78361831408 89556378752 156723662816 179112757504 313447325632 358225515008 626894651264 716451030016 1253789302528 1432902060032 2507578605056 5015157210112 10030314420224