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133019016 = 233131731809
BaseRepresentation
bin1111110110110…
…11010110001000
3100021022001210020
413323123112020
5233023102031
621111020440
73203433354
oct773332610
9307261706
10133019016
11690a4179
123866a720
13217349a0
1413948464
15ba28096
hex7edb588

133019016 has 128 divisors (see below), whose sum is σ = 391910400. Its totient is φ = 37232640.

The previous prime is 133019011. The next prime is 133019039. The reversal of 133019016 is 610910331.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (133019011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164020 + ... + 164828.

It is an arithmetic number, because the mean of its divisors is an integer number (3061800).

Almost surely, 2133019016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133019016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195955200).

133019016 is an abundant number, since it is smaller than the sum of its proper divisors (258891384).

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

133019016 is a wasteful number, since it uses less digits than its factorization.

133019016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 24.

The square root of 133019016 is about 11533.3870133626. The cubic root of 133019016 is about 510.4711985038.

Adding to 133019016 its reverse (610910331), we get a palindrome (743929347).

The spelling of 133019016 in words is "one hundred thirty-three million, nineteen thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 31 34 39 51 52 62 68 78 93 102 104 124 136 156 186 204 221 248 312 372 403 408 442 527 663 744 806 809 884 1054 1209 1326 1581 1612 1618 1768 2108 2418 2427 2652 3162 3224 3236 4216 4836 4854 5304 6324 6472 6851 9672 9708 10517 12648 13702 13753 19416 20553 21034 25079 27404 27506 31551 41106 41259 42068 50158 54808 55012 63102 75237 82212 82518 84136 100316 110024 126204 150474 164424 165036 178789 200632 252408 300948 326027 330072 357578 426343 536367 601896 652054 715156 852686 978081 1072734 1279029 1304108 1430312 1705372 1956162 2145468 2558058 2608216 3410744 3912324 4290936 5116116 5542459 7824648 10232232 11084918 16627377 22169836 33254754 44339672 66509508 133019016