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212120211010011 = 341592712523761
BaseRepresentation
bin110000001110110000010101…
…110100111011000111011011
31000211001111100012221012011220
4300032300111310323013123
5210300334143004310021
62031050402450423123
762452115400134133
oct6016602564730733
91024044305835156
10212120211010011
1161651749175207
121b95a399591aa3
139148b087a6605
143a5495c995ac3
15197cb00746cc6
hexc0ec15d3b1db

212120211010011 has 96 divisors (see below), whose sum is σ = 296681780747520. Its totient is φ = 134689931136000.

The previous prime is 212120211009991. The next prime is 212120211010031. The reversal of 212120211010011 is 110010112021212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (212120211009991) and next prime (212120211010031).

It is not a de Polignac number, because 212120211010011 - 211 = 212120211007963 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212120211010031) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 278738778871 + ... + 278738779631.

It is an arithmetic number, because the mean of its divisors is an integer number (3090435216120).

Almost surely, 2212120211010011 is an apocalyptic number.

212120211010011 is a deficient number, since it is larger than the sum of its proper divisors (84561569737509).

212120211010011 is an equidigital number, since it uses as much as digits as its factorization.

212120211010011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1929 (or 1658 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 212120211010011 its reverse (110010112021212), we get a palindrome (322130323031223).

The spelling of 212120211010011 in words is "two hundred twelve trillion, one hundred twenty billion, two hundred eleven million, ten thousand, eleven".

Divisors: 1 3 41 59 123 177 271 523 761 813 1569 2283 2419 7257 11111 15989 21443 30857 31201 33333 44899 47967 64329 73441 92571 93603 134697 141733 206231 220323 398003 425199 618693 655549 1194009 1265137 1840859 1966647 3011081 3795411 4333019 5522577 5811053 8362247 8455471 9033243 12167629 12999057 16318123 17433159 23482177 25086741 25366413 36502887 38409643 48954369 55888601 70446531 107858813 115228929 167665803 177653779 323576439 342852127 498872789 532961337 962769257 1028556381 1496618367 1574795363 2266168937 2291432641 2888307771 3297427459 4422211333 4724386089 6363669967 6798506811 6874297923 9892282377 13266633999 19091009901 29229738323 87689214969 92912926417 135194525819 260910468647 278738779251 405583577457 782731405941 1198419271243 1724554561057 3595257813729 5173663683171 70706737003337 212120211010011