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137103561 = 32729101743
BaseRepresentation
bin10000010110000…
…00100011001001
3100112222120201200
420023000203021
5240044303221
621334334413
73253234560
oct1013004311
9315876650
10137103561
1170433a31
1239aba409
1322534b8a
14142ccbd7
15c083426
hex82c08c9

137103561 has 48 divisors (see below), whose sum is σ = 236770560. Its totient is φ = 74793600.

The previous prime is 137103557. The next prime is 137103581. The reversal of 137103561 is 165301731.

It is not a de Polignac number, because 137103561 - 22 = 137103557 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (137103511) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 184156 + ... + 184898.

It is an arithmetic number, because the mean of its divisors is an integer number (4932720).

Almost surely, 2137103561 is an apocalyptic number.

It is an amenable number.

137103561 is a deficient number, since it is larger than the sum of its proper divisors (99666999).

137103561 is a wasteful number, since it uses less digits than its factorization.

137103561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 137103561 is about 11709.1229816754. The cubic root of 137103561 is about 515.6435364796.

It can be divided in two parts, 13710 and 3561, that added together give a palindrome (17271).

The spelling of 137103561 in words is "one hundred thirty-seven million, one hundred three thousand, five hundred sixty-one".

Divisors: 1 3 7 9 21 29 63 87 101 203 261 303 609 707 743 909 1827 2121 2229 2929 5201 6363 6687 8787 15603 20503 21547 26361 46809 61509 64641 75043 150829 184527 193923 225129 452487 525301 675387 1357461 1575903 2176247 4727709 6528741 15233729 19586223 45701187 137103561