Search a number
-
+
137101110 = 2354570037
BaseRepresentation
bin10000010101111…
…11111100110110
3100112222110100220
420022333330312
5240044213420
621334315210
73253224456
oct1012777466
9315873326
10137101110
1170432103
1239ab8b06
1322533a23
14142cbd66
15c082840
hex82bff36

137101110 has 16 divisors (see below), whose sum is σ = 329042736. Its totient is φ = 36560288.

The previous prime is 137101079. The next prime is 137101177. The reversal of 137101110 is 11101731.

137101110 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 137101110.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2284989 + ... + 2285048.

It is an arithmetic number, because the mean of its divisors is an integer number (20565171).

Almost surely, 2137101110 is an apocalyptic number.

137101110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137101110 is an abundant number, since it is smaller than the sum of its proper divisors (191941626).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137101110 is a wasteful number, since it uses less digits than its factorization.

137101110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4570047.

The product of its (nonzero) digits is 21, while the sum is 15.

The square root of 137101110 is about 11709.0183192273. The cubic root of 137101110 is about 515.6404637419.

Adding to 137101110 its reverse (11101731), we get a palindrome (148202841).

The spelling of 137101110 in words is "one hundred thirty-seven million, one hundred one thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 4570037 9140074 13710111 22850185 27420222 45700370 68550555 137101110