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130817533 = 7111737273
BaseRepresentation
bin1111100110000…
…01110111111101
3100010011012220211
413303001313331
5231442130113
620551512421
73145634140
oct763016775
9303135824
10130817533
1167930170
1237988711
1321143932
1413534057
15b740b3d
hex7cc1dfd

130817533 has 48 divisors (see below), whose sum is σ = 179915904. Its totient is φ = 92067840.

The previous prime is 130817513. The next prime is 130817543. The reversal of 130817533 is 335718031.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-130817533 is a prime.

It is a super-2 number, since 2×1308175332 = 34226453880412178, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 130817495 and 130817504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130817503) 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, 1791985 + ... + 1792057.

It is an arithmetic number, because the mean of its divisors is an integer number (3748248).

Almost surely, 2130817533 is an apocalyptic number.

It is an amenable number.

130817533 is a deficient number, since it is larger than the sum of its proper divisors (49098371).

130817533 is a wasteful number, since it uses less digits than its factorization.

130817533 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 130817533 is about 11437.5492567245. The cubic root of 130817533 is about 507.6393954893.

The spelling of 130817533 in words is "one hundred thirty million, eight hundred seventeen thousand, five hundred thirty-three".

Divisors: 1 7 11 17 37 73 77 119 187 259 407 511 629 803 1241 1309 1369 2701 2849 4403 5621 6919 8687 9583 13651 15059 18907 23273 29711 45917 48433 95557 99937 105413 162911 207977 256003 321419 505087 699559 1099307 1698929 1792021 3535609 7695149 11892503 18688219 130817533