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242605011 = 311174389113
BaseRepresentation
bin11100111010111…
…01101111010011
3121220111121111210
432131131233103
5444101330021
640023511203
76004052145
oct1635355723
9556447453
10242605011
11114a42810
12692b8503
133b35377c
1424312c95
1516472e76
hexe75dbd3

242605011 has 64 divisors (see below), whose sum is σ = 390044160. Its totient is φ = 132464640.

The previous prime is 242605007. The next prime is 242605019. The reversal of 242605011 is 110506242.

It is not a de Polignac number, because 242605011 - 22 = 242605007 is a prime.

It is not an unprimeable number, because it can be changed into a prime (242605019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2146891 + ... + 2147003.

It is an arithmetic number, because the mean of its divisors is an integer number (6094440).

Almost surely, 2242605011 is an apocalyptic number.

242605011 is a deficient number, since it is larger than the sum of its proper divisors (147439149).

242605011 is a wasteful number, since it uses less digits than its factorization.

242605011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 242605011 is about 15575.7828374692. The cubic root of 242605011 is about 623.6868523481.

The spelling of 242605011 in words is "two hundred forty-two million, six hundred five thousand, eleven".

Divisors: 1 3 11 17 33 43 51 89 113 129 187 267 339 473 561 731 979 1243 1419 1513 1921 2193 2937 3729 3827 4539 4859 5763 8041 10057 11481 14577 16643 21131 24123 30171 42097 49929 53449 63393 65059 82603 110627 126291 160347 170969 195177 247809 331881 432451 512907 715649 908633 1297353 1880659 2146947 2725899 4756961 5641977 7351667 14270883 22055001 80868337 242605011