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120013245 = 3451123179
BaseRepresentation
bin1110010011101…
…00000110111101
322100211022020000
413021310012331
5221210410440
615524144513
72655044562
oct711640675
9270738200
10120013245
1161820800
1234238139
131bb2cc71
1411d20869
15a809730
hex72741bd

120013245 has 120 divisors (see below), whose sum is σ = 247188480. Its totient is φ = 55598400.

The previous prime is 120013219. The next prime is 120013247. The reversal of 120013245 is 542310021.

It is not a de Polignac number, because 120013245 - 26 = 120013181 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120013247) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1519116 + ... + 1519194.

It is an arithmetic number, because the mean of its divisors is an integer number (2059904).

Almost surely, 2120013245 is an apocalyptic number.

120013245 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

120013245 is an abundant number, since it is smaller than the sum of its proper divisors (127175235).

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

120013245 is a wasteful number, since it uses less digits than its factorization.

120013245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 120013245 is about 10955.0556821953. The cubic root of 120013245 is about 493.2605614090.

Adding to 120013245 its reverse (542310021), we get a palindrome (662323266).

The spelling of 120013245 in words is "one hundred twenty million, thirteen thousand, two hundred forty-five".

Divisors: 1 3 5 9 11 15 27 31 33 45 55 79 81 93 99 121 135 155 165 237 279 297 341 363 395 405 465 495 605 711 837 869 891 1023 1089 1185 1395 1485 1705 1815 2133 2449 2511 2607 3069 3267 3555 3751 4185 4345 4455 5115 5445 6399 7347 7821 9207 9559 9801 10665 11253 12245 12555 13035 15345 16335 18755 22041 23463 26939 27621 28677 31995 33759 36735 39105 46035 47795 49005 56265 66123 70389 80817 86031 101277 110205 117315 134695 138105 143385 168795 198369 242451 258093 296329 303831 330615 351945 404085 430155 506385 727353 774279 888987 991845 1212255 1290465 1481645 1519155 2182059 2666961 3636765 3871395 4444935 8000883 10910295 13334805 24002649 40004415 120013245