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137210301 = 3319925537
BaseRepresentation
bin10000010110110…
…10100110111101
3100120012000011000
420023122212331
5240111212201
621340520513
73254161014
oct1013324675
9316160130
10137210301
11704a7148
1239b50139
1322571637
1414319a7b
15c0a4d86
hex82da9bd

137210301 has 16 divisors (see below), whose sum is σ = 204304000. Its totient is φ = 91010304.

The previous prime is 137210299. The next prime is 137210323. The reversal of 137210301 is 103012731.

It is not a de Polignac number, because 137210301 - 21 = 137210299 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137210351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7396 + ... + 18141.

It is an arithmetic number, because the mean of its divisors is an integer number (12769000).

Almost surely, 2137210301 is an apocalyptic number.

It is an amenable number.

137210301 is a deficient number, since it is larger than the sum of its proper divisors (67093699).

137210301 is a wasteful number, since it uses less digits than its factorization.

137210301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25745 (or 25739 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 137210301 is about 11713.6800792919. The cubic root of 137210301 is about 515.7773173807. Note that the first 3 decimals are identical.

The spelling of 137210301 in words is "one hundred thirty-seven million, two hundred ten thousand, three hundred one".

Divisors: 1 3 9 27 199 597 1791 5373 25537 76611 229833 689499 5081863 15245589 45736767 137210301