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210020343020012 = 227241472712051891
BaseRepresentation
bin101111110000001100101011…
…111100001111100111101100
31000112121202012210211210122102
4233300030223330033213230
5210011433130303120022
62022402002540034232
762144316612542300
oct5760145374174754
91015552183753572
10210020343020012
1160a121444633a8
121b67b423b32978
139025aaaba3145
1439c1078809d00
15194319ee08a92
hexbf032bf0f9ec

210020343020012 has 144 divisors (see below), whose sum is σ = 448938473711616. Its totient is φ = 85627831968000.

The previous prime is 210020343019961. The next prime is 210020343020023.

210020343020012 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101328587 + ... + 103380477.

It is an arithmetic number, because the mean of its divisors is an integer number (3117628289664).

Almost surely, 2210020343020012 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 210020343020012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224469236855808).

210020343020012 is an abundant number, since it is smaller than the sum of its proper divisors (238918130691604).

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

210020343020012 is a wasteful number, since it uses less digits than its factorization.

210020343020012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2052268 (or 2052259 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The spelling of 210020343020012 in words is "two hundred ten trillion, twenty billion, three hundred forty-three million, twenty thousand, twelve".

Divisors: 1 2 4 7 14 28 41 47 49 82 94 98 164 188 196 271 287 329 542 574 658 1084 1148 1316 1897 1927 2009 2303 3794 3854 4018 4606 7588 7708 8036 9212 11111 12737 13279 13489 22222 25474 26558 26978 44444 50948 53116 53956 77777 89159 94423 155554 178318 188846 311108 356636 377692 522217 544439 624113 1044434 1088878 1248226 2051891 2088868 2177756 2496452 3655519 4103782 7311038 8207564 14363237 14622076 25588633 28726474 51177266 57452948 84127531 96438877 100542659 102354532 168255062 192877754 201085318 336510124 385755508 402170636 556062461 588892717 675072139 1112124922 1177785434 1350144278 2224249844 2355570868 2700288556 3892437227 3953993957 4122249019 4725504973 7784874454 7907987914 8244498038 9451009946 15569748908 15815975828 16488996076 18902019892 22798560901 26134935667 27247060589 27677957699 45597121802 52269871334 54494121178 55355915398 91194243604 104539742668 108988242356 110711830796 159589926307 182944549669 193745703893 319179852614 365889099338 387491407786 638359705228 731778198676 774982815572 1071532362347 1117129484149 1280611847683 2143064724694 2234258968298 2561223695366 4286129449388 4468517936596 5122447390732 7500726536429 15001453072858 30002906145716 52505085755003 105010171510006 210020343020012