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137206303 = 13173831621
BaseRepresentation
bin10000010110110…
…01101000011111
3100120011210122221
420023121220133
5240111100203
621340450211
73254143243
oct1013315037
9316153587
10137206303
11704a4143
1239b49967
132256c880
1414318423
15c0a3abd
hex82d9a1f

137206303 has 16 divisors (see below), whose sum is σ = 156957696. Its totient is φ = 118817280.

The previous prime is 137206271. The next prime is 137206327. The reversal of 137206303 is 303602731.

137206303 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 137206303 - 25 = 137206271 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137206343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83833 + ... + 85453.

It is an arithmetic number, because the mean of its divisors is an integer number (9809856).

Almost surely, 2137206303 is an apocalyptic number.

137206303 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

137206303 is a deficient number, since it is larger than the sum of its proper divisors (19751393).

137206303 is a wasteful number, since it uses less digits than its factorization.

137206303 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2034.

The product of its (nonzero) digits is 2268, while the sum is 25.

The square root of 137206303 is about 11713.5094228843. The cubic root of 137206303 is about 515.7723078011.

The spelling of 137206303 in words is "one hundred thirty-seven million, two hundred six thousand, three hundred three".

Divisors: 1 13 17 221 383 1621 4979 6511 21073 27557 84643 358241 620843 8070959 10554331 137206303