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1006120117052 = 223719734508167
BaseRepresentation
bin11101010010000010110…
…11101010001100111100
310120011222020111120202222
432221001123222030330
5112441013222221202
62050112153504512
7132455410613621
oct16510133521474
93504866446688
101006120117052
11358769638476
12142bab712138
1373b521cc88b
14369a71a2348
151b288bc94a2
hexea416ea33c

1006120117052 has 24 divisors (see below), whose sum is σ = 1817476192224. Its totient is φ = 486979238592.

The previous prime is 1006120117039. The next prime is 1006120117063. The reversal of 1006120117052 is 2507110216001.

1006120117052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 17224928 + ... + 17283239.

It is an arithmetic number, because the mean of its divisors is an integer number (75728174676).

Almost surely, 21006120117052 is an apocalyptic number.

It is an amenable number.

1006120117052 is a deficient number, since it is larger than the sum of its proper divisors (811356075172).

1006120117052 is a wasteful number, since it uses less digits than its factorization.

1006120117052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34508405 (or 34508403 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 26.

The spelling of 1006120117052 in words is "one trillion, six billion, one hundred twenty million, one hundred seventeen thousand, fifty-two".

Divisors: 1 2 4 37 74 148 197 394 788 7289 14578 29156 34508167 69016334 138032668 1276802179 2553604358 5107208716 6798108899 13596217798 27192435596 251530029263 503060058526 1006120117052