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30013137 = 32721123269
BaseRepresentation
bin111001001111…
…1011011010001
32002110211021200
41302133123101
530140410022
62551141413
7513051600
oct162373321
962424250
1030013137
1115a3a350
12a074869
1362aac6b
143db3a37
15297cbac
hex1c9f6d1

30013137 has 72 divisors (see below), whose sum is σ = 57620160. Its totient is φ = 14857920.

The previous prime is 30013133. The next prime is 30013153. The reversal of 30013137 is 73131003.

It is not a de Polignac number, because 30013137 - 22 = 30013133 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30013133) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 111439 + ... + 111707.

It is an arithmetic number, because the mean of its divisors is an integer number (800280).

Almost surely, 230013137 is an apocalyptic number.

It is an amenable number.

30013137 is a deficient number, since it is larger than the sum of its proper divisors (27607023).

30013137 is a wasteful number, since it uses less digits than its factorization.

30013137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 189, while the sum is 18.

The square root of 30013137 is about 5478.4246823334. The cubic root of 30013137 is about 310.7685992138.

The spelling of 30013137 in words is "thirty million, thirteen thousand, one hundred thirty-seven".

Divisors: 1 3 7 9 11 21 23 33 49 63 69 77 99 147 161 207 231 253 269 441 483 539 693 759 807 1127 1449 1617 1771 1883 2277 2421 2959 3381 4851 5313 5649 6187 8877 10143 12397 13181 15939 16947 18561 20713 26631 37191 39543 43309 55683 62139 68057 111573 118629 129927 144991 186417 204171 303163 389781 434973 476399 612513 909489 1304919 1429197 2728467 3334793 4287591 10004379 30013137