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121523242221 = 381723127373
BaseRepresentation
bin111000100101101011…
…0011000010011101101
3102121200011102100000000
41301023112120103231
53442334422222341
6131454344454513
711531313341553
oct1611326302355
9377604370000
10121523242221
11475a077a597
121b675a7a439
13b5c8956724
145c4b779bd3
153263a918b6
hex1c4b5984ed

121523242221 has 144 divisors (see below), whose sum is σ = 203518808064. Its totient is φ = 72166381056.

The previous prime is 121523242213. The next prime is 121523242229. The reversal of 121523242221 is 122242325121.

121523242221 is a `hidden beast` number, since 1 + 2 + 1 + 5 + 232 + 422 + 2 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (121523242213) and next prime (121523242229).

It is not a de Polignac number, because 121523242221 - 23 = 121523242213 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121523242229) 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 143 ways as a sum of consecutive naturals, for example, 325799391 + ... + 325799763.

It is an arithmetic number, because the mean of its divisors is an integer number (1413325056).

Almost surely, 2121523242221 is an apocalyptic number.

It is an amenable number.

121523242221 is a deficient number, since it is larger than the sum of its proper divisors (81995565843).

121523242221 is an equidigital number, since it uses as much as digits as its factorization.

121523242221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 543 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

Adding to 121523242221 its reverse (122242325121), we get a palindrome (243765567342).

The spelling of 121523242221 in words is "one hundred twenty-one billion, five hundred twenty-three million, two hundred forty-two thousand, two hundred twenty-one".

Divisors: 1 3 9 17 23 27 51 69 81 127 153 207 243 373 381 391 459 621 729 1119 1143 1173 1377 1863 2159 2187 2921 3357 3429 3519 4131 5589 6341 6477 6561 8579 8763 10071 10287 10557 12393 16767 19023 19431 25737 26289 30213 30861 31671 37179 47371 49657 50301 57069 58293 77211 78867 90639 92583 95013 111537 142113 145843 148971 150903 171207 174879 231633 236601 271917 277749 285039 426339 437529 446913 513621 524637 694899 709803 805307 815751 833247 855117 1089533 1279017 1312587 1340739 1540863 1573911 2084697 2129409 2415921 2447253 2565351 3268599 3837051 3937761 4022217 4622589 4721733 6254091 6388227 7247763 9805797 11511153 11813283 12066651 13867767 14165199 18522061 18762273 19164681 21743289 29417391 34533459 35439849 36199953 41603301 55566183 56286819 65229867 88252173 103600377 106319547 108599859 166698549 195689601 264756519 310801131 318958641 325799577 500095647 587068803 794269557 956875923 1500286941 1761206409 2382808671 4500860823 5283619227 7148426013 13502582469 40507747407 121523242221