Search a number
-
+
120670747461 = 33113790712107
BaseRepresentation
bin111000001100010001…
…0010111101101000101
3102112110202022010001000
41300120202113231011
53434113202404321
6131234012523513
711501222300235
oct1603042275505
9375422263030
10120670747461
11471a3544670
121b478480599
13b4c1153a64
145baa467cc5
153213cea826
hex1c18897b45

120670747461 has 64 divisors (see below), whose sum is σ = 200531727360. Its totient is φ = 71072873280.

The previous prime is 120670747433. The next prime is 120670747499. The reversal of 120670747461 is 164747076021.

120670747461 is a `hidden beast` number, since 120 + 67 + 0 + 7 + 4 + 7 + 461 = 666.

It is not a de Polignac number, because 120670747461 - 29 = 120670746949 is a prime.

It is a super-2 number, since 2×1206707474612 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120670747061) 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 63 ways as a sum of consecutive naturals, for example, 9960970 + ... + 9973076.

It is an arithmetic number, because the mean of its divisors is an integer number (3133308240).

Almost surely, 2120670747461 is an apocalyptic number.

120670747461 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120670747461 is a deficient number, since it is larger than the sum of its proper divisors (79860979899).

120670747461 is a wasteful number, since it uses less digits than its factorization.

120670747461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13071 (or 13065 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 120670747461 in words is "one hundred twenty billion, six hundred seventy million, seven hundred forty-seven thousand, four hundred sixty-one".

Divisors: 1 3 9 11 27 33 37 99 111 297 333 407 907 999 1221 2721 3663 8163 9977 10989 12107 24489 29931 33559 36321 89793 100677 108963 133177 269379 302031 326889 369149 399531 447959 906093 1107447 1198593 1343877 3322341 3595779 4031631 4927549 9967023 10981049 12094893 14782647 32943147 44347941 98829441 120791539 133043823 296488323 362374617 406298813 1087123851 1218896439 3261371553 3656689317 4469286943 10970067951 13407860829 40223582487 120670747461