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137203314 = 231091931087
BaseRepresentation
bin10000010110110…
…00111001110010
3100120011122120020
420023120321302
5240111001224
621340424310
73254131443
oct1013307162
9316148506
10137203314
11704a1976
1239b48096
132256b3c1
14143172ca
15c0a2c79
hex82d8e72

137203314 has 32 divisors (see below), whose sum is σ = 278615040. Its totient is φ = 45038592.

The previous prime is 137203309. The next prime is 137203331. The reversal of 137203314 is 413302731.

It is an unprimeable number.

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 in 15 ways as a sum of consecutive naturals, for example, 125679 + ... + 126765.

It is an arithmetic number, because the mean of its divisors is an integer number (8706720).

Almost surely, 2137203314 is an apocalyptic number.

137203314 is an abundant number, since it is smaller than the sum of its proper divisors (141411726).

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

137203314 is a wasteful number, since it uses less digits than its factorization.

137203314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1394.

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 137203314 is about 11713.3818344661. The cubic root of 137203314 is about 515.7685624566.

The spelling of 137203314 in words is "one hundred thirty-seven million, two hundred three thousand, three hundred fourteen".

Divisors: 1 2 3 6 109 193 218 327 386 579 654 1087 1158 2174 3261 6522 21037 42074 63111 118483 126222 209791 236966 355449 419582 629373 710898 1258746 22867219 45734438 68601657 137203314