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242025002021 = 11674015931381
BaseRepresentation
bin1110000101100111010…
…0000111010000100101
3212010201010201222112202
43201121310013100211
512431131400031041
6303103523424245
723325414400535
oct3413164072045
9763633658482
10242025002021
1193707893230
123aaa5825085
1319a90a90b8a
14b9dd5b54c5
156467b0ba9b
hex3859d07425

242025002021 has 32 divisors (see below), whose sum is σ = 269284093056. Its totient is φ = 215677440000.

The previous prime is 242025001997. The next prime is 242025002029. The reversal of 242025002021 is 120200520242.

It is a de Polignac number, because none of the positive numbers 2k-242025002021 is a prime.

It is a super-2 number, since 2×2420250020212 (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 242025001984 and 242025002002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242025002029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175252751 + ... + 175254131.

It is an arithmetic number, because the mean of its divisors is an integer number (8415127908).

Almost surely, 2242025002021 is an apocalyptic number.

It is an amenable number.

242025002021 is a deficient number, since it is larger than the sum of its proper divisors (27259091035).

242025002021 is a wasteful number, since it uses less digits than its factorization.

242025002021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2453.

The product of its (nonzero) digits is 640, while the sum is 20.

Adding to 242025002021 its reverse (120200520242), we get a palindrome (362225522263).

The spelling of 242025002021 in words is "two hundred forty-two billion, twenty-five million, two thousand, twenty-one".

Divisors: 1 11 67 401 593 737 1381 4411 6523 15191 26867 39731 92527 237793 295537 437041 553781 818933 1017797 2615723 6091591 9008263 15932131 37103327 54868511 175253441 328392133 408136597 603553621 3612313463 22002272911 242025002021