Search a number
-
+
9201221029 = 72112131961103
BaseRepresentation
bin10001001000110111…
…10111110110100101
3212202020201110101001
420210123313312211
5122321003033104
64121010033301
7444005042200
oct104433676645
925666643331
109201221029
1139a1938600
121949578831
13b383742b0
14634034937
1538cbc7aa4
hex2246f7da5

9201221029 has 144 divisors (see below), whose sum is σ = 13687040640. Its totient is φ = 6107270400.

The previous prime is 9201221017. The next prime is 9201221119.

9201221029 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 9201221029 - 25 = 9201220997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 9201220988 and 9201221006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9201221129) 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 143 ways as a sum of consecutive naturals, for example, 89332192 + ... + 89332294.

Almost surely, 29201221029 is an apocalyptic number.

It is an amenable number.

9201221029 is a deficient number, since it is larger than the sum of its proper divisors (4485819611).

9201221029 is a wasteful number, since it uses less digits than its factorization.

9201221029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 9201221029 is about 95922.9953087371. The cubic root of 9201221029 is about 2095.4718021938.

The spelling of 9201221029 in words is "nine billion, two hundred one million, two hundred twenty-one thousand, twenty-nine".

Divisors: 1 7 11 13 19 49 61 77 91 103 121 133 143 209 247 427 539 637 671 721 793 847 931 1001 1133 1159 1339 1463 1573 1729 1957 2299 2717 2989 4697 5047 5551 5929 6283 7007 7381 7931 8113 8723 9373 10241 11011 12103 12463 12749 13699 14729 15067 16093 19019 21527 25441 29887 32879 38857 43981 51667 55517 56791 61061 65611 69113 77077 81679 87241 89243 95893 95953 103103 105469 112651 119377 133133 140239 150689 162019 165737 178087 209209 236797 279851 307867 361669 427427 483791 571753 610687 624701 671671 721721 738283 760243 835639 898469 981673 1054823 1134133 1160159 1246609 1313147 1464463 1551901 1657579 1823107 1958957 3078361 3386537 4002271 4701697 5321701 5849473 6289283 6871711 7938931 8121113 9192029 9883159 10863307 11603053 12761749 13712699 14444617 17070911 21548527 37251907 44024981 64344203 69182113 76043149 89332243 101112319 119496377 150839689 187780021 484274791 707786233 836474639 1314460147 9201221029