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138300903 = 32135322303
BaseRepresentation
bin10000011111001…
…00110111100111
3100122020102011200
420033210313213
5240401112103
621420133543
73266352426
oct1017446747
9318212150
10138300903
1171081574
123a3972b3
1322863b70
14145212bd
15c21d0a3
hex83e4de7

138300903 has 24 divisors (see below), whose sum is σ = 219203712. Its totient is φ = 83498688.

The previous prime is 138300901. The next prime is 138300907. The reversal of 138300903 is 309003831.

It is not a de Polignac number, because 138300903 - 21 = 138300901 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138300901) 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, 4951 + ... + 17352.

It is an arithmetic number, because the mean of its divisors is an integer number (9133488).

Almost surely, 2138300903 is an apocalyptic number.

138300903 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

138300903 is a deficient number, since it is larger than the sum of its proper divisors (80902809).

138300903 is a wasteful number, since it uses less digits than its factorization.

138300903 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22375 (or 22372 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 138300903 is about 11760.1404328350. The cubic root of 138300903 is about 517.1402470612.

The spelling of 138300903 in words is "one hundred thirty-eight million, three hundred thousand, nine hundred three".

Divisors: 1 3 9 13 39 53 117 159 477 689 2067 6201 22303 66909 200727 289939 869817 1182059 2609451 3546177 10638531 15366767 46100301 138300903