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121464525 = 3527132372
BaseRepresentation
bin1110011110101…
…10011011001101
322110120001000010
413033112123031
5222043331100
620015223433
73003300660
oct717263315
9273501003
10121464525
1162622106
1234817b79
131c21a700
14121bb6d7
15a9e4750
hex73d66cd

121464525 has 108 divisors (see below), whose sum is σ = 255421152. Its totient is φ = 49870080.

The previous prime is 121464521. The next prime is 121464559. The reversal of 121464525 is 525464121.

It is not a de Polignac number, because 121464525 - 22 = 121464521 is a prime.

Its product of digits (9600) is a multiple of the sum of its prime factors (120).

It is a junction number, because it is equal to n+sod(n) for n = 121464492 and 121464501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121464521) 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 107 ways as a sum of consecutive naturals, for example, 3282807 + ... + 3282843.

Almost surely, 2121464525 is an apocalyptic number.

121464525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

121464525 is an abundant number, since it is smaller than the sum of its proper divisors (133956627).

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

121464525 is a wasteful number, since it uses less digits than its factorization.

121464525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 65 counting only the distinct ones).

The product of its digits is 9600, while the sum is 30.

The square root of 121464525 is about 11021.0945463688. The cubic root of 121464525 is about 495.2408785806.

The spelling of 121464525 in words is "one hundred twenty-one million, four hundred sixty-four thousand, five hundred twenty-five".

Divisors: 1 3 5 7 13 15 21 25 35 37 39 65 75 91 105 111 169 175 185 195 259 273 325 455 481 507 525 555 777 845 925 975 1183 1295 1365 1369 1443 2275 2405 2535 2775 3367 3549 3885 4107 4225 5915 6253 6475 6825 6845 7215 9583 10101 12025 12675 16835 17745 17797 18759 19425 20535 28749 29575 31265 34225 36075 43771 47915 50505 53391 84175 88725 88985 93795 102675 124579 131313 143745 156325 218855 231361 239575 252525 266955 373737 444925 468975 622895 656565 694083 718725 1094275 1156805 1334775 1619527 1868685 3114475 3282825 3470415 4858581 5784025 8097635 9343425 17352075 24292905 40488175 121464525