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242101125 = 3253771433
BaseRepresentation
bin11100110111000…
…10101110000101
3121212120000022100
432123202232011
5443434214000
640005022313
75666553120
oct1633425605
9555500270
10242101125
11114729182
12690b4999
133b208306
14242213b7
15163c3a00
hexe6e2b85

242101125 has 96 divisors (see below), whose sum is σ = 506967552. Its totient is φ = 108864000.

The previous prime is 242101117. The next prime is 242101127. The reversal of 242101125 is 521101242.

It is not a de Polignac number, because 242101125 - 23 = 242101117 is a prime.

It is a super-2 number, since 2×2421011252 = 117225909452531250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 242101098 and 242101107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242101127) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 558909 + ... + 559341.

It is an arithmetic number, because the mean of its divisors is an integer number (5280912).

Almost surely, 2242101125 is an apocalyptic number.

242101125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

242101125 is an abundant number, since it is smaller than the sum of its proper divisors (264866427).

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

242101125 is a wasteful number, since it uses less digits than its factorization.

242101125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 242101125 is about 15559.5991272269. The cubic root of 242101125 is about 623.2547578103.

Adding to 242101125 its reverse (521101242), we get a palindrome (763202367).

The spelling of 242101125 in words is "two hundred forty-two million, one hundred one thousand, one hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 71 75 105 125 175 213 225 315 355 375 433 497 525 639 875 1065 1125 1299 1491 1575 1775 2165 2485 2625 3031 3195 3897 4473 5325 6495 7455 7875 8875 9093 10825 12425 15155 15975 19485 22365 26625 27279 30743 32475 37275 45465 54125 62125 75775 79875 92229 97425 111825 136395 153715 162375 186375 215201 227325 276687 378875 461145 487125 559125 645603 681975 768575 1076005 1136625 1383435 1936809 2305725 3228015 3409875 3842875 5380025 6917175 9684045 11528625 16140075 26900125 34585875 48420225 80700375 242101125