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20002210102212 = 223131571260164811
BaseRepresentation
bin1001000110001001000001…
…01000001011101111000100
32121211012012102011022221020
410203010200220023233010
510110204011241232322
6110312515524151140
74133053261414362
oct443044050135704
977735172138836
1020002210102212
116411987167598
1222b068b8384b0
13b2127b141620
144d217d9a8632
1524a483deb05c
hex123120a0bbc4

20002210102212 has 96 divisors (see below), whose sum is σ = 50586898395264. Its totient is φ = 6114745728000.

The previous prime is 20002210102211. The next prime is 20002210102283. The reversal of 20002210102212 is 21220101220002.

It is a junction number, because it is equal to n+sod(n) for n = 20002210102191 and 20002210102200.

It is not an unprimeable number, because it can be changed into a prime (20002210102211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 308591287 + ... + 308656097.

It is an arithmetic number, because the mean of its divisors is an integer number (526946858284).

Almost surely, 220002210102212 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 20002210102212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25293449197632).

20002210102212 is an abundant number, since it is smaller than the sum of its proper divisors (30584688293052).

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

20002210102212 is a wasteful number, since it uses less digits than its factorization.

20002210102212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77589 (or 77587 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 20002210102212 its reverse (21220101220002), we get a palindrome (41222311322214).

The spelling of 20002210102212 in words is "twenty trillion, two billion, two hundred ten million, one hundred two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 157 314 471 628 942 1884 2041 4082 6123 8164 12246 12601 24492 25202 37803 50404 64811 75606 129622 151212 163813 194433 259244 327626 388866 491439 655252 777732 842543 982878 1685086 1965756 1978357 2527629 3370172 3956714 5055258 5935071 7913428 10110516 10175327 11870142 20350654 23740284 25718641 30525981 40701308 51437282 61051962 77155923 102874564 122103924 132279251 154311846 264558502 308623692 396837753 529117004 793675506 816683411 1587351012 1633366822 2450050233 3266733644 4900100466 9800200932 10616884343 21233768686 31850653029 42467537372 63701306058 127402612116 128219295527 256438591054 384657886581 512877182108 769315773162 1538631546324 1666850841851 3333701683702 5000552525553 6667403367404 10001105051106 20002210102212