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120343661361 = 3372118269337
BaseRepresentation
bin111000000010100001…
…0101000101100110001
3102111121221211102021000
41300011002220230301
53432430434130421
6131141330152213
711460141146400
oct1600502505461
9374557742230
10120343661361
114704594aa80
121b3a6a22669
13b46b4613a1
145b78c43637
1531e523b226
hex1c050a8b31

120343661361 has 48 divisors (see below), whose sum is σ = 226249087680. Its totient is φ = 62516180160.

The previous prime is 120343661359. The next prime is 120343661363. The reversal of 120343661361 is 163166343021.

120343661361 is a `hidden beast` number, since 1 + 2 + 0 + 3 + 4 + 36 + 613 + 6 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (120343661359) and next prime (120343661363).

It is not a de Polignac number, because 120343661361 - 21 = 120343661359 is a prime.

It is not an unprimeable number, because it can be changed into a prime (120343661363) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4120116 + ... + 4149221.

It is an arithmetic number, because the mean of its divisors is an integer number (4713522660).

Almost surely, 2120343661361 is an apocalyptic number.

120343661361 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120343661361 is a deficient number, since it is larger than the sum of its proper divisors (105905426319).

120343661361 is a wasteful number, since it uses less digits than its factorization.

120343661361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8269371 (or 8269358 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 120343661361 in words is "one hundred twenty billion, three hundred forty-three million, six hundred sixty-one thousand, three hundred sixty-one".

Divisors: 1 3 7 9 11 21 27 33 49 63 77 99 147 189 231 297 441 539 693 1323 1617 2079 4851 14553 8269337 24808011 57885359 74424033 90962707 173656077 223272099 272888121 405197513 520968231 636738949 818664363 1215592539 1562904693 1910216847 2455993089 3646777617 4457172643 5730650541 10940332851 13371517929 17191951623 40114553787 120343661361