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2003020320132 = 22321310790744101
BaseRepresentation
bin11101001001011101010…
…100001000110110000100
321002111010221010000021200
4131021131110020312010
5230304141200221012
64132101432542500
7264466465542066
oct35113524106604
97074127100250
102003020320132
11702526830027
12284247551a30
13116b65211950
146cd37a65736
15371832373dc
hex1d25d508d84

2003020320132 has 144 divisors (see below), whose sum is σ = 5509818804672. Its totient is φ = 609867014400.

The previous prime is 2003020320131. The next prime is 2003020320143. The reversal of 2003020320132 is 2310230203002.

It is a happy number.

2003020320132 is a `hidden beast` number, since 200 + 30 + 203 + 201 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2003020320131) 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, 45396882 + ... + 45440982.

It is an arithmetic number, because the mean of its divisors is an integer number (38262630588).

Almost surely, 22003020320132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2003020320132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2754909402336).

2003020320132 is an abundant number, since it is smaller than the sum of its proper divisors (3506798484540).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2003020320132 is a wasteful number, since it uses less digits than its factorization.

2003020320132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45138 (or 45133 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 2003020320132 its reverse (2310230203002), we get a palindrome (4313250523134).

The spelling of 2003020320132 in words is "two trillion, three billion, twenty million, three hundred twenty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 107 117 156 214 234 321 428 468 642 907 963 1284 1391 1814 1926 2721 2782 3628 3852 4173 5442 5564 8163 8346 10884 11791 12519 16326 16692 23582 25038 32652 35373 44101 47164 50076 70746 88202 97049 106119 132303 141492 176404 194098 212238 264606 291147 388196 396909 424476 529212 573313 582294 793818 873441 1146626 1164588 1261637 1587636 1719939 1746882 2293252 2523274 3439878 3493764 3784911 4718807 5046548 5159817 6879756 7569822 9437614 10319634 11354733 14156421 15139644 18875228 20639268 22709466 28312842 39999607 42469263 45418932 56625684 61344491 79999214 84938526 119998821 122688982 159998428 169877052 184033473 239997642 245377964 359996463 368066946 479995284 519994891 552100419 719992926 736133892 1039989782 1104200838 1439985852 1559984673 2079979564 2208401676 3119969346 4279957949 4679954019 6239938692 8559915898 9359908038 12839873847 17119831796 18719816076 25679747694 38519621541 51359495388 55639453337 77039243082 111278906674 154078486164 166918360011 222557813348 333836720022 500755080033 667673440044 1001510160066 2003020320132