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133300432203042 = 2313373311279109103
BaseRepresentation
bin11110010011110001101100…
…111010001110110100100010
3122110222101201022110210002010
4132103301230322032310202
5114432443241120444132
61151301212334133350
740035431655435336
oct3623615472166442
9573871638423063
10133300432203042
11395234399307a5
1212b4a625051256
13594c23b61bc20
1424cbabd7817c6
1510626b43c16cc
hex793c6ce8ed22

133300432203042 has 128 divisors (see below), whose sum is σ = 295993112002560. Its totient is φ = 39754953342720.

The previous prime is 133300432203031. The next prime is 133300432203091. The reversal of 133300432203042 is 240302234003331.

133300432203042 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1221730663 + ... + 1221839765.

It is an arithmetic number, because the mean of its divisors is an integer number (2312446187520).

Almost surely, 2133300432203042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133300432203042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147996556001280).

133300432203042 is an abundant number, since it is smaller than the sum of its proper divisors (162692679799518).

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

133300432203042 is a wasteful number, since it uses less digits than its factorization.

133300432203042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110768.

The product of its (nonzero) digits is 31104, while the sum is 30.

Adding to 133300432203042 its reverse (240302234003331), we get a palindrome (373602666206373).

The spelling of 133300432203042 in words is "one hundred thirty-three trillion, three hundred billion, four hundred thirty-two million, two hundred three thousand, forty-two".

Divisors: 1 2 3 6 13 26 37 39 74 78 111 222 331 481 662 962 993 1279 1443 1986 2558 2886 3837 4303 7674 8606 12247 12909 16627 24494 25818 33254 36741 47323 49881 73482 94646 99762 109103 141969 159211 218206 283938 318422 327309 423349 477633 615199 654618 846698 955266 1230398 1270047 1418339 1845597 2540094 2836678 3691194 4036811 4255017 5503537 8073622 8510034 11007074 12110433 15663913 16510611 24220866 31327826 33021222 36113093 46991739 52478543 72226186 93983478 104957086 108339279 139542737 157435629 203630869 216678558 279085474 314871258 407261738 418628211 469470209 610892607 837256422 938940418 1221785214 1336184441 1408410627 1814055581 2672368882 2816821254 3628111162 4008553323 5163081269 5442166743 8017106646 10326162538 10884333486 15489243807 17370397733 30978487614 34740795466 46188645947 52111193199 67120056497 92377291894 104222386398 134240112994 138565937841 201360169491 277131875682 402720338982 600452397311 1200904794622 1708979900039 1801357191933 3417959800078 3602714383866 5126939700117 10253879400234 22216738700507 44433477401014 66650216101521 133300432203042