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120653669071 = 131931151241433
BaseRepresentation
bin111000001011110000…
…1001110001011001111
3102112102120011102220001
41300113201032023033
53434044314402241
6131232202505131
711500624160065
oct1602741161317
9375376142801
10120653669071
114719493a3a1
121b4728051a7
13b4ba7543c0
145ba80a0035
153212575431
hex1c1784e2cf

120653669071 has 64 divisors (see below), whose sum is σ = 143039733760. Its totient is φ = 100776960000.

The previous prime is 120653668991. The next prime is 120653669093. The reversal of 120653669071 is 170966356021.

It is a 13-Lehmer number, since φ(120653669071) divides (120653669071-1)13.

It is a cyclic number.

It is not a de Polignac number, because 120653669071 - 211 = 120653667023 is a prime.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 120653669071 = 28803 + 45913 = 32233 + 44343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120653669471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 278645671 + ... + 278646103.

It is an arithmetic number, because the mean of its divisors is an integer number (2234995840).

Almost surely, 2120653669071 is an apocalyptic number.

120653669071 is a deficient number, since it is larger than the sum of its proper divisors (22386064689).

120653669071 is a wasteful number, since it uses less digits than its factorization.

120653669071 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888.

The product of its (nonzero) digits is 408240, while the sum is 46.

The spelling of 120653669071 in words is "one hundred twenty billion, six hundred fifty-three million, six hundred sixty-nine thousand, seventy-one".

Divisors: 1 13 19 31 151 241 247 403 433 589 1963 2869 3133 4579 4681 5629 7471 7657 8227 13423 36391 37297 59527 60853 65383 88939 97123 104353 106951 141949 174499 255037 473083 691429 849979 1128121 1156207 1242277 1356589 1845337 1982707 2026873 3234943 3315481 8988577 14665573 15757303 16149601 21434299 25775191 26349349 38510587 42054259 61463917 204844939 278645887 299388757 488476393 500637631 799030921 3892053841 6350193109 9281051467 120653669071