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212202113004 = 223276128348779
BaseRepresentation
bin1100010110100000111…
…0110100011111101100
3202021201201201020202200
43011220032310133230
511434042220104004
6241252335421500
721221365125330
oct3055016643754
9667651636680
10212202113004
1181aa3619312
1235162084890
131701a2ca99b
14a3b08b17c0
1557be81a239
hex31683b47ec

212202113004 has 144 divisors (see below), whose sum is σ = 625292478720. Its totient is φ = 59423310720.

The previous prime is 212202112999. The next prime is 212202113027. The reversal of 212202113004 is 400311202212.

It is a happy number.

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

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, 4325887 + ... + 4374665.

It is an arithmetic number, because the mean of its divisors is an integer number (4342308880).

Almost surely, 2212202113004 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 212202113004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312646239360).

212202113004 is an abundant number, since it is smaller than the sum of its proper divisors (413090365716).

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

212202113004 is a wasteful number, since it uses less digits than its factorization.

212202113004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49140 (or 49135 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 212202113004 its reverse (400311202212), we get a palindrome (612513315216).

The spelling of 212202113004 in words is "two hundred twelve billion, two hundred two million, one hundred thirteen thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 61 63 84 122 126 183 244 252 283 366 427 549 566 732 849 854 1098 1132 1281 1698 1708 1981 2196 2547 2562 3396 3843 3962 5094 5124 5943 7686 7924 10188 11886 15372 17263 17829 23772 34526 35658 48779 51789 69052 71316 97558 103578 120841 146337 155367 195116 207156 241682 292674 310734 341453 362523 439011 483364 585348 621468 682906 725046 878022 1024359 1087569 1365812 1450092 1756044 2048718 2175138 2975519 3073077 4097436 4350276 5951038 6146154 8926557 11902076 12292308 13804457 17853114 20828633 26779671 27608914 35706228 41413371 41657266 53559342 55217828 62485899 82826742 83314532 96631199 107118684 124240113 124971798 165653484 187457697 193262398 248480226 249943596 289893597 374915394 386524796 496960452 579787194 749830788 842071877 869680791 1159574388 1684143754 1739361582 2526215631 3368287508 3478723164 5052431262 5894503139 7578646893 10104862524 11789006278 15157293786 17683509417 23578012556 30314587572 35367018834 53050528251 70734037668 106101056502 212202113004