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1023002142113 = 72431537331583
BaseRepresentation
bin11101110001011111010…
…11011110010110100001
310121210112210000022111102
432320233223132112201
5113230102022021423
62101543302124145
7133623642506600
oct16705753362641
93553483008442
101023002142113
113649420487a6
12146321420655
1375612927a13
1437729331a37
151b925d4ac28
hexee2fade5a1

1023002142113 has 24 divisors (see below), whose sum is σ = 1217815619328. Its totient is φ = 856384081056.

The previous prime is 1023002142031. The next prime is 1023002142121. The reversal of 1023002142113 is 3112412003201.

It is not a de Polignac number, because 1023002142113 - 218 = 1023001879969 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1023002162113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32375120 + ... + 32406702.

It is an arithmetic number, because the mean of its divisors is an integer number (50742317472).

Almost surely, 21023002142113 is an apocalyptic number.

It is an amenable number.

1023002142113 is a deficient number, since it is larger than the sum of its proper divisors (194813477215).

1023002142113 is a wasteful number, since it uses less digits than its factorization.

1023002142113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47013 (or 47006 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 1023002142113 its reverse (3112412003201), we get a palindrome (4135414145314).

The spelling of 1023002142113 in words is "one trillion, twenty-three billion, two million, one hundred forty-two thousand, one hundred thirteen".

Divisors: 1 7 43 49 301 2107 15373 31583 107611 221081 661039 753277 1358069 1547567 4627273 9506483 32390911 66545381 485525459 3398678213 20877594737 23790747491 146143163159 1023002142113