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181381121935 = 51319714164867
BaseRepresentation
bin1010100011101100101…
…0000100011110001111
3122100011202120200100221
42220323022010132033
510432432031400220
6215154134532211
716050536045446
oct2507312043617
9570152520327
10181381121935
116aa17a07572
122b1a0207067
1314147b13470
148ac93d5d5d
154ab8abe9aa
hex2a3b28478f

181381121935 has 16 divisors (see below), whose sum is σ = 235590084576. Its totient is φ = 133263059328.

The previous prime is 181381121921. The next prime is 181381121953. The reversal of 181381121935 is 539121183181.

181381121935 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 181381121935 - 29 = 181381121423 is a prime.

It is a super-2 number, since 2×1813811219352 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 181381121891 and 181381121900.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 7069629 + ... + 7095238.

It is an arithmetic number, because the mean of its divisors is an integer number (14724380286).

Almost surely, 2181381121935 is an apocalyptic number.

181381121935 is a deficient number, since it is larger than the sum of its proper divisors (54208962641).

181381121935 is a wasteful number, since it uses less digits than its factorization.

181381121935 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14165082.

The product of its digits is 51840, while the sum is 43.

The spelling of 181381121935 in words is "one hundred eighty-one billion, three hundred eighty-one million, one hundred twenty-one thousand, nine hundred thirty-five".

Divisors: 1 5 13 65 197 985 2561 12805 14164867 70824335 184143271 920716355 2790478799 13952393995 36276224387 181381121935