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137103332 = 22197257677
BaseRepresentation
bin10000010110000…
…00011111100100
3100112222120102012
420023000133210
5240044301312
621334333352
73253234112
oct1013003744
9315876365
10137103332
1170433843
1239aba258
1322534a42
14142ccab2
15c083322
hex82c07e4

137103332 has 24 divisors (see below), whose sum is σ = 242444664. Its totient is φ = 67837952.

The previous prime is 137103331. The next prime is 137103341. The reversal of 137103332 is 233301731.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 133079296 + 4024036 = 11536^2 + 2006^2 .

It is a junction number, because it is equal to n+sod(n) for n = 137103298 and 137103307.

It is not an unprimeable number, because it can be changed into a prime (137103331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 202178 + ... + 202854.

It is an arithmetic number, because the mean of its divisors is an integer number (10101861).

Almost surely, 2137103332 is an apocalyptic number.

It is an amenable number.

137103332 is a deficient number, since it is larger than the sum of its proper divisors (105341332).

137103332 is a wasteful number, since it uses less digits than its factorization.

137103332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 23.

The square root of 137103332 is about 11709.1132029714. The cubic root of 137103332 is about 515.6432493914.

The spelling of 137103332 in words is "one hundred thirty-seven million, one hundred three thousand, three hundred thirty-two".

Divisors: 1 2 4 197 257 394 514 677 788 1028 1354 2708 50629 101258 133369 173989 202516 266738 347978 533476 695956 34275833 68551666 137103332