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211211000012212 = 228913792914333253
BaseRepresentation
bin110000000001100001100100…
…101000001101110110110100
31000200211120111202000221100221
4300001201210220031312310
5210140440112000342322
62025112554403344124
762326330322151454
oct6001414450156664
91020746452027327
10211211000012212
116133109a27a442
121b832134682044
1390b115b932165
143a2294a151d64
1519641397609c7
hexc01864a0ddb4

211211000012212 has 96 divisors (see below), whose sum is σ = 377284778791200. Its totient is φ = 103441094541312.

The previous prime is 211211000012191. The next prime is 211211000012261. The reversal of 211211000012212 is 212210000112112.

It can be written as a sum of positive squares in 16 ways, for example, as 18484805964816 + 192726194047396 = 4299396^2 + 13882586^2 .

It is a super-2 number, since 2×2112110000122122 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64928064778 + ... + 64928068030.

It is an arithmetic number, because the mean of its divisors is an integer number (3930049779075).

Almost surely, 2211211000012212 is an apocalyptic number.

It is an amenable number.

211211000012212 is a deficient number, since it is larger than the sum of its proper divisors (166073778778988).

211211000012212 is a wasteful number, since it uses less digits than its factorization.

211211000012212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5845 (or 5843 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 211211000012212 its reverse (212210000112112), we get a palindrome (423421000124324).

The spelling of 211211000012212 in words is "two hundred eleven trillion, two hundred eleven billion, twelve thousand, two hundred twelve".

Divisors: 1 2 4 89 137 178 274 356 548 929 1433 1858 2866 3253 3716 5732 6506 12193 13012 24386 48772 82681 127273 127537 165362 196321 254546 255074 289517 330724 392642 445661 509092 510148 579034 785284 891322 1158068 1331257 1782644 2662514 3022037 4661549 5325028 6044074 9323098 11327297 12088148 17472569 18646196 22654594 34945138 39663829 45309188 69890276 79327658 118481873 158655316 182382209 236963746 268961293 364764418 414019069 414877861 473927492 537922586 638632213 729528836 828038138 829755722 1075845172 1277264426 1656076276 1659511444 2554528852 4330579021 8661158042 16232016601 17322316084 32464033202 36847697141 56838266957 64928066404 73695394282 113676533914 147390788564 227353067828 385421532869 593289325877 770843065738 1186578651754 1541686131476 2373157303508 52802750003053 105605500006106 211211000012212