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11212312221 = 33113143127223
BaseRepresentation
bin10100111000100111…
…00100111010011101
31001221101221110212000
422130103210322131
5140430322442341
65052330432513
7544565036625
oct123423447235
931841843760
1011212312221
114834070140
12220ab92739
131098c02a96
14785179885
1545952b8b6
hex29c4e4e9d

11212312221 has 128 divisors (see below), whose sum is σ = 19377684480. Its totient is φ = 6344049600.

The previous prime is 11212312213. The next prime is 11212312229. The reversal of 11212312221 is 12221321211.

It is an interprime number because it is at equal distance from previous prime (11212312213) and next prime (11212312229).

It is not a de Polignac number, because 11212312221 - 23 = 11212312213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11212312194 and 11212312203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11212312229) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 50279316 + ... + 50279538.

It is an arithmetic number, because the mean of its divisors is an integer number (151388160).

Almost surely, 211212312221 is an apocalyptic number.

11212312221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11212312221 is a deficient number, since it is larger than the sum of its proper divisors (8165372259).

11212312221 is a wasteful number, since it uses less digits than its factorization.

11212312221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 438 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

Adding to 11212312221 its reverse (12221321211), we get a palindrome (23433633432).

The spelling of 11212312221 in words is "eleven billion, two hundred twelve million, three hundred twelve thousand, two hundred twenty-one".

Divisors: 1 3 9 11 27 31 33 43 93 99 127 129 223 279 297 341 381 387 473 669 837 1023 1143 1161 1333 1397 1419 2007 2453 3069 3429 3937 3999 4191 4257 5461 6021 6913 7359 9207 9589 11811 11997 12573 12771 14663 16383 20739 22077 28321 28767 35433 35991 37719 43307 43989 49149 60071 62217 66231 76043 84963 86301 105479 106299 129921 131967 147447 169291 180213 186651 228129 254889 258903 297259 311531 316437 389763 395901 507873 540639 684387 764667 877951 891777 934593 949311 1169289 1217803 1523619 1621917 1862201 2053161 2633853 2675331 2803779 2847933 3269849 3653409 4570857 5586603 7901559 8025993 8411337 9657461 9809547 10960227 13395833 16759809 23704677 28972383 29428641 32880681 37751893 40187499 50279427 86917149 88285923 113255679 120562497 260751447 339767037 361687491 415270823 1019301111 1245812469 3737437407 11212312221