Search a number
-
+
137855101 is a prime number
BaseRepresentation
bin10000011011110…
…00000001111101
3100121101202122111
420031320001331
5240242330401
621402414021
73262514626
oct1015700175
9317352574
10137855101
11708a763a
123a201311
1322738c87
1414446a4d
15c180e51
hex837807d

137855101 has 2 divisors, whose sum is σ = 137855102. Its totient is φ = 137855100.

The previous prime is 137855087. The next prime is 137855117. The reversal of 137855101 is 101558731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 118265625 + 19589476 = 10875^2 + 4426^2 .

It is a cyclic number.

It is not a de Polignac number, because 137855101 - 213 = 137846909 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137850101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68927550 + 68927551.

It is an arithmetic number, because the mean of its divisors is an integer number (68927551).

Almost surely, 2137855101 is an apocalyptic number.

It is an amenable number.

137855101 is a deficient number, since it is larger than the sum of its proper divisors (1).

137855101 is an equidigital number, since it uses as much as digits as its factorization.

137855101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4200, while the sum is 31.

The square root of 137855101 is about 11741.1711937098. The cubic root of 137855101 is about 516.5839954210.

The spelling of 137855101 in words is "one hundred thirty-seven million, eight hundred fifty-five thousand, one hundred one".