Search a number
-
+
182020020021 = 34722911811187
BaseRepresentation
bin1010100110000100111…
…1010001011100110101
3122101211021210001210000
42221201033101130311
510440234111120041
6215341400421513
716102424433210
oct2514117213465
9571737701700
10182020020021
1170215613114
122b33a177899
131421a2ab178
148b4a1c6777
154b04c22bb6
hex2a613d1735

182020020021 has 80 divisors (see below), whose sum is σ = 312634650240. Its totient is φ = 103382386560.

The previous prime is 182020019989. The next prime is 182020020023. The reversal of 182020020021 is 120020020281.

It is a happy number.

182020020021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 182020020021 - 25 = 182020019989 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 182020019976 and 182020020003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (182020020023) 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 79 ways as a sum of consecutive naturals, for example, 153343990 + ... + 153345176.

It is an arithmetic number, because the mean of its divisors is an integer number (3907933128).

Almost surely, 2182020020021 is an apocalyptic number.

It is an amenable number.

182020020021 is a deficient number, since it is larger than the sum of its proper divisors (130614630219).

182020020021 is a wasteful number, since it uses less digits than its factorization.

182020020021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2616 (or 2607 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The spelling of 182020020021 in words is "one hundred eighty-two billion, twenty million, twenty thousand, twenty-one".

Divisors: 1 3 7 9 21 27 63 81 189 229 567 687 1181 1187 1603 2061 3543 3561 4809 6183 8267 8309 10629 10683 14427 18549 24801 24927 31887 32049 43281 74403 74781 95661 96147 129843 223209 224343 270449 271823 669627 673029 811347 815469 1401847 1893143 1902761 2434041 2446407 4205541 5679429 5708283 7302123 7339221 9812929 12616623 17038287 17124849 21906369 22017663 29438787 37849869 51114861 51374547 88316361 113549607 153344583 154123641 264949083 321022963 794847249 963068889 2247160741 2889206667 6741482223 8667620001 20224446669 26002860003 60673340007 182020020021