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138230301 = 311191131951
BaseRepresentation
bin10000011110100…
…11101000011101
3100122002211022210
420033103220131
5240341332201
621414431033
73265636536
oct1017235035
9318084283
10138230301
1171033520
123a362479
132283a9a1
141450368d
15c2071d6
hex83d3a1d

138230301 has 32 divisors (see below), whose sum is σ = 213626880. Its totient is φ = 78624000.

The previous prime is 138230297. The next prime is 138230359. The reversal of 138230301 is 103032831.

It is a happy number.

138230301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 138230301 - 22 = 138230297 is a prime.

It is a super-2 number, since 2×1382303012 = 38215232229101202, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138230371) 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, 69876 + ... + 71826.

It is an arithmetic number, because the mean of its divisors is an integer number (6675840).

Almost surely, 2138230301 is an apocalyptic number.

138230301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

138230301 is a deficient number, since it is larger than the sum of its proper divisors (75396579).

138230301 is a wasteful number, since it uses less digits than its factorization.

138230301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2097.

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 138230301 is about 11757.1382997735. The cubic root of 138230301 is about 517.0522328121.

The spelling of 138230301 in words is "one hundred thirty-eight million, two hundred thirty thousand, three hundred one".

Divisors: 1 3 11 19 33 57 113 209 339 627 1243 1951 2147 3729 5853 6441 21461 23617 37069 64383 70851 111207 220463 407759 661389 1223277 2425093 4188797 7275279 12566391 46076767 138230301