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10114404343330 = 257327911056541
BaseRepresentation
bin1001001100101111000101…
…1110100101111000100010
31022210221001020012001102111
42103023301132211320202
52311203300002441310
633302254311105534
72062512240253000
oct223136136457042
938727036161374
1010114404343330
11324a54962a4a1
1211742a56722aa
13584a26c79331
1426d77b23ba70
15128173a3128a
hex932f17a5e22

10114404343330 has 64 divisors (see below), whose sum is σ = 21239029900800. Its totient is φ = 3466550001600.

The previous prime is 10114404343291. The next prime is 10114404343339. The reversal of 10114404343330 is 3334340441101.

It is a happy number.

10114404343330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10114404343292 and 10114404343301.

It is not an unprimeable number, because it can be changed into a prime (10114404343339) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9044860 + ... + 10101400.

It is an arithmetic number, because the mean of its divisors is an integer number (331859842200).

Almost surely, 210114404343330 is an apocalyptic number.

10114404343330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10114404343330 is an abundant number, since it is smaller than the sum of its proper divisors (11124625557470).

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

10114404343330 is a wasteful number, since it uses less digits than its factorization.

10114404343330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1059360 (or 1059346 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

Adding to 10114404343330 its reverse (3334340441101), we get a palindrome (13448744784431).

The spelling of 10114404343330 in words is "ten trillion, one hundred fourteen billion, four hundred four million, three hundred forty-three thousand, three hundred thirty".

Divisors: 1 2 5 7 10 14 35 49 70 98 245 343 490 686 1715 2791 3430 5582 13955 19537 27910 39074 97685 136759 195370 273518 683795 957313 1056541 1367590 1914626 2113082 4786565 5282705 7395787 9573130 10565410 14791574 36978935 51770509 73957870 103541018 258852545 362393563 517705090 724787126 1811967815 2948805931 3623935630 5897611862 14744029655 20641641517 29488059310 41283283034 103208207585 144491490619 206416415170 288982981238 722457453095 1011440434333 1444914906190 2022880868666 5057202171665 10114404343330