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10041663231 = 351512111297
BaseRepresentation
bin10010101101000011…
…11001111011111111
3221220211011100100000
421112201321323333
5131031131210411
64340231405343
7503561505045
oct112641717377
927824140300
1010041663231
114293291236
121b42b23853
13c40517082
146b38ca395
153db88c956
hex256879eff

10041663231 has 48 divisors (see below), whose sum is σ = 15224937728. Its totient is φ = 6613488000.

The previous prime is 10041663217. The next prime is 10041663239. The reversal of 10041663231 is 13236614001.

10041663231 is a `hidden beast` number, since 10 + 0 + 4 + 16 + 632 + 3 + 1 = 666.

It is not a de Polignac number, because 10041663231 - 26 = 10041663167 is a prime.

It is a super-2 number, since 2×100416632312 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10041663195 and 10041663204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10041663239) 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, 7741575 + ... + 7742871.

Almost surely, 210041663231 is an apocalyptic number.

10041663231 is a deficient number, since it is larger than the sum of its proper divisors (5183274497).

10041663231 is a wasteful number, since it uses less digits than its factorization.

10041663231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1674 (or 1662 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 10041663231 in words is "ten billion, forty-one million, six hundred sixty-three thousand, two hundred thirty-one".

Divisors: 1 3 9 27 81 151 211 243 453 633 1297 1359 1899 3891 4077 5697 11673 12231 17091 31861 35019 36693 51273 95583 105057 195847 273667 286749 315171 587541 821001 860247 1762623 2463003 2580741 5287869 7389009 7742223 15863607 22167027 41323717 47590821 66501081 123971151 371913453 1115740359 3347221077 10041663231