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1014410101312 = 2661972678749
BaseRepresentation
bin11101100001011111000…
…11011100001001000000
310120222100222120102022001
432300233203130021000
5113110002441220222
62054002532553344
7133201012410136
oct16605743341100
93528328512261
101014410101312
11361233069333
12144723a82854
13748738449ca
1437152193756
151b5c18a5e27
hexec2f8dc240

1014410101312 has 56 divisors (see below), whose sum is σ = 2067062795000. Its totient is φ = 493746831360.

The previous prime is 1014410101223. The next prime is 1014410101339. The reversal of 1014410101312 is 2131010144101.

It can be written as a sum of positive squares in 4 ways, for example, as 19092606976 + 995317494336 = 138176^2 + 997656^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1014410101312.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 960687 + ... + 1718062.

It is an arithmetic number, because the mean of its divisors is an integer number (36911835625).

Almost surely, 21014410101312 is an apocalyptic number.

It is an amenable number.

1014410101312 is an abundant number, since it is smaller than the sum of its proper divisors (1052652693688).

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

1014410101312 is an equidigital number, since it uses as much as digits as its factorization.

1014410101312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2678919 (or 2678909 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 1014410101312 its reverse (2131010144101), we get a palindrome (3145420245413).

The spelling of 1014410101312 in words is "one trillion, fourteen billion, four hundred ten million, one hundred one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 61 64 97 122 194 244 388 488 776 976 1552 1952 3104 3904 5917 6208 11834 23668 47336 94672 189344 378688 2678749 5357498 10714996 21429992 42859984 85719968 163403689 171439936 259838653 326807378 519677306 653614756 1039354612 1307229512 2078709224 2614459024 4157418448 5228918048 8314836896 10457836096 15850157833 16629673792 31700315666 63400631332 126801262664 253602525328 507205050656 1014410101312