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103303320029 = 72137389109229
BaseRepresentation
bin110000000110101011…
…0111001000111011101
3100212122101102101102222
41200031112321013131
53143031122220104
6115242404355125
710314644506100
oct1401526710735
9325571371388
10103303320029
113a8a1038358
12180300a5aa5
139983cb4c90
144ddda62737
152a492461be
hex180d5b91dd

103303320029 has 96 divisors (see below), whose sum is σ = 134461404000. Its totient is φ = 78632902656.

The previous prime is 103303320019. The next prime is 103303320041. The reversal of 103303320029 is 920023303301.

It can be written as a sum of positive squares in 16 ways, for example, as 12723388804 + 90579931225 = 112798^2 + 300965^2 .

It is a de Polignac number, because none of the positive numbers 2k-103303320029 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103303320019) 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 95 ways as a sum of consecutive naturals, for example, 451106087 + ... + 451106315.

It is an arithmetic number, because the mean of its divisors is an integer number (1400639625).

Almost surely, 2103303320029 is an apocalyptic number.

It is an amenable number.

103303320029 is a deficient number, since it is larger than the sum of its proper divisors (31158083971).

103303320029 is a wasteful number, since it uses less digits than its factorization.

103303320029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 26.

The spelling of 103303320029 in words is "one hundred three billion, three hundred three million, three hundred twenty thousand, twenty-nine".

Divisors: 1 7 13 49 73 89 91 109 229 511 623 637 763 949 1157 1417 1603 2977 3577 4361 5341 6497 6643 7957 8099 9701 9919 11221 16717 20381 20839 24961 45479 46501 55699 56693 67907 69433 84461 103441 117019 126113 142667 145873 174727 217321 264953 318353 324493 389893 475349 591227 708173 724087 819133 882791 998669 1223089 1487813 1521247 1822153 1854671 2221529 2271451 4138589 4957211 5068609 6179537 9206249 10414691 10648729 12755071 12982697 15550703 15900157 19341569 23687989 28879877 34700477 64443743 72902837 89285497 108854921 135390983 162171617 165815923 202159139 451106201 947736881 1135201319 1160711461 1415113973 2108231021 7946409233 14757617147 103303320029