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137118231 = 33191371951
BaseRepresentation
bin10000010110001…
…00001000010111
3100120000022212000
420023010020113
5240100240411
621334530343
73253325415
oct1013041027
9316008760
10137118231
1170443a58
1239b069b3
132253b763
14142d42b5
15c087956
hex82c4217

137118231 has 32 divisors (see below), whose sum is σ = 215500800. Its totient is φ = 85924800.

The previous prime is 137118229. The next prime is 137118257. The reversal of 137118231 is 132811731.

It is a happy number.

It is not a de Polignac number, because 137118231 - 21 = 137118229 is a prime.

It is a super-2 number, since 2×1371182312 = 37602818545138722, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 137118195 and 137118204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137118211) 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, 69306 + ... + 71256.

It is an arithmetic number, because the mean of its divisors is an integer number (6734400).

Almost surely, 2137118231 is an apocalyptic number.

137118231 is a deficient number, since it is larger than the sum of its proper divisors (78382569).

137118231 is a wasteful number, since it uses less digits than its factorization.

137118231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2116 (or 2110 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 137118231 is about 11709.7493995388. The cubic root of 137118231 is about 515.6619270083.

Adding to 137118231 its reverse (132811731), we get a palindrome (269929962).

The spelling of 137118231 in words is "one hundred thirty-seven million, one hundred eighteen thousand, two hundred thirty-one".

Divisors: 1 3 9 19 27 57 137 171 411 513 1233 1951 2603 3699 5853 7809 17559 23427 37069 52677 70281 111207 267287 333621 801861 1000863 2405583 5078453 7216749 15235359 45706077 137118231