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213112222223094 = 23483137480124097
BaseRepresentation
bin110000011101001100001110…
…010011011000101011110110
31000221120022220012001012020000
4300131030032103120223312
5210413112312342114334
62033130223041452130
762613564351254205
oct6035141623305366
91027508805035200
10213112222223094
11619a4427691267
121ba9a6b0041046
1391bb51c956aac
143a8a98801323c
15199881097a299
hexc1d30e4d8af6

213112222223094 has 160 divisors (see below), whose sum is σ = 486931817234016. Its totient is φ = 69651859046400.

The previous prime is 213112222223071. The next prime is 213112222223161. The reversal of 213112222223094 is 490322222211312.

213112222223094 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 122 + 2 + 222 + 309 + 4 = 666.

213112222223094 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8843919654 + ... + 8843943750.

Almost surely, 2213112222223094 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213112222223094, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243465908617008).

213112222223094 is an abundant number, since it is smaller than the sum of its proper divisors (273819595010922).

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

213112222223094 is a wasteful number, since it uses less digits than its factorization.

213112222223094 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29132 (or 29123 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 213112222223094 in words is "two hundred thirteen trillion, one hundred twelve billion, two hundred twenty-two million, two hundred twenty-three thousand, ninety-four".

Divisors: 1 2 3 6 9 18 27 54 81 83 137 162 166 249 274 411 498 747 822 1233 1494 2241 2466 3699 4482 4801 6723 7398 9602 11097 11371 13446 14403 22194 22742 24097 28806 34113 43209 48194 68226 72291 86418 102339 129627 144582 204678 216873 259254 307017 388881 398483 433746 614034 650619 657737 777762 796966 921051 1195449 1301238 1315474 1842102 1951857 1973211 2000051 2390898 3301289 3586347 3903714 3946422 4000102 5919633 6000153 6602578 7172694 9903867 10759041 11839266 12000306 17758899 18000459 19807734 21518082 29711601 32277123 35517798 36000918 53276697 54001377 54592171 59423202 64554246 89134803 106553394 108002754 109184342 115689697 162004131 163776513 178269606 231379394 267404409 274006987 324008262 327553026 347069091 491329539 534808818 548013974 694138182 822020961 982659078 1041207273 1473988617 1644041922 2082414546 2466062883 2947977234 3123621819 4421965851 4932125766 6247243638 7398188649 8843931702 9370865457 9602244851 14796377298 15849488489 18741730914 19204489702 22194565947 28806734553 31698976978 44389131894 47548465467 57613469106 86420203659 95096930934 142645396401 172840407318 259260610977 285290792802 427936189203 518521221954 777781832931 855872378406 1283808567609 1315507544587 1555563665862 2567617135218 2631015089174 3946522633761 7893045267522 11839567901283 23679135802566 35518703703849 71037407407698 106556111111547 213112222223094