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120145132054002 = 23118334253640303
BaseRepresentation
bin11011010100010101110111…
…111010101110010111110010
3120202101202120211100021021210
4123110111313322232113302
5111221424212301212002
61103305524532300550
734210125242245056
oct3324256772562762
9522352524307253
10120145132054002
113531129a95a4a0
1211584b21771756
135206839304bc3
1421950ac0d5c66
15dd53b5bb596c
hex6d4577eae5f2

120145132054002 has 64 divisors (see below), whose sum is σ = 265301244020736. Its totient is φ = 35967863530560.

The previous prime is 120145132053959. The next prime is 120145132054039. The reversal of 120145132054002 is 200450231541021.

120145132054002 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187317783 + ... + 187958085.

It is an arithmetic number, because the mean of its divisors is an integer number (4145331937824).

Almost surely, 2120145132054002 is an apocalyptic number.

120145132054002 is an abundant number, since it is smaller than the sum of its proper divisors (145156111966734).

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

120145132054002 is a wasteful number, since it uses less digits than its factorization.

120145132054002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674655.

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

Adding to 120145132054002 its reverse (200450231541021), we get a palindrome (320595363595023).

The spelling of 120145132054002 in words is "one hundred twenty trillion, one hundred forty-five billion, one hundred thirty-two million, fifty-four thousand, two".

Divisors: 1 2 3 6 11 22 33 66 83 166 249 498 913 1826 2739 5478 34253 68506 102759 205518 376783 640303 753566 1130349 1280606 1920909 2260698 2842999 3841818 5685998 7043333 8528997 14086666 17057994 21129999 31272989 42259998 53145149 62545978 93818967 106290298 159435447 187637934 318870894 584596639 1169193278 1753789917 3507579834 21932298659 43864597318 65796895977 131593791954 241255285249 482510570498 723765855747 1447531711494 1820380788697 3640761577394 5461142366091 10922284732182 20024188675667 40048377351334 60072566027001 120145132054002