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1050114240513 = 331313721837799
BaseRepresentation
bin11110100011111111010…
…11111011000000000001
310201101112021012121122000
433101333223323000001
5114201113221144023
62122225452334213
7135603544524342
oct17217753730001
93641467177560
101050114240513
11375395126598
1214b629174369
13780438c6ab0
1438b7bdd40c9
151c4b1175243
hexf47fafb001

1050114240513 has 32 divisors (see below), whose sum is σ = 1687625184000. Its totient is φ = 641507154048.

The previous prime is 1050114240499. The next prime is 1050114240563. The reversal of 1050114240513 is 3150424110501.

1050114240513 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 1 + 142 + 4 + 0 + 513 = 666.

It is not a de Polignac number, because 1050114240513 - 229 = 1049577369601 is a prime.

It is a super-2 number, since 2×10501142405132 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1050114240563) 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, 10870813 + ... + 10966986.

It is an arithmetic number, because the mean of its divisors is an integer number (52738287000).

Almost surely, 21050114240513 is an apocalyptic number.

1050114240513 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1050114240513 is a deficient number, since it is larger than the sum of its proper divisors (637510943487).

1050114240513 is a wasteful number, since it uses less digits than its factorization.

1050114240513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21837958 (or 21837952 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 1050114240513 in words is "one trillion, fifty billion, one hundred fourteen million, two hundred forty thousand, five hundred thirteen".

Divisors: 1 3 9 13 27 39 117 137 351 411 1233 1781 3699 5343 16029 48087 21837799 65513397 196540191 283891387 589620573 851674161 2555022483 2991778463 7665067449 8975335389 26926006167 38893120019 80778018501 116679360057 350038080171 1050114240513