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13310311212 = 22321127143037
BaseRepresentation
bin11000110010101101…
…10011101100101100
31021100121200212102100
430121112303230230
5204224414424322
610040434055100
7650561531022
oct143126635454
937317625370
1013310311212
115710361900
1226b571a490
13134176cbc3
14903a64712
1552d7eadac
hex3195b3b2c

13310311212 has 108 divisors (see below), whose sum is σ = 37504001808. Its totient is φ = 3976526400.

The previous prime is 13310311171. The next prime is 13310311229. The reversal of 13310311212 is 21211301331.

13310311212 is a `hidden beast` number, since 1 + 331 + 0 + 311 + 21 + 2 = 666.

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 35 ways as a sum of consecutive naturals, for example, 287758 + ... + 330794.

It is an arithmetic number, because the mean of its divisors is an integer number (347259276).

Almost surely, 213310311212 is an apocalyptic number.

13310311212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13310311212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18752000904).

13310311212 is an abundant number, since it is smaller than the sum of its proper divisors (24193690596).

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

13310311212 is a wasteful number, since it uses less digits than its factorization.

13310311212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43140 (or 43124 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13310311212 its reverse (21211301331), we get a palindrome (34521612543).

The spelling of 13310311212 in words is "thirteen billion, three hundred ten million, three hundred eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 71 99 121 132 142 198 213 242 284 363 396 426 484 639 726 781 852 1089 1278 1452 1562 2178 2343 2556 3124 4356 4686 7029 8591 9372 14058 17182 25773 28116 34364 43037 51546 77319 86074 103092 129111 154638 172148 258222 309276 387333 473407 516444 774666 946814 1420221 1549332 1893628 2840442 3055627 4260663 5207477 5680884 6111254 8521326 9166881 10414954 12222508 15622431 17042652 18333762 20829908 27500643 31244862 33611897 36667524 46867293 55001286 62489724 67223794 93734586 100835691 110002572 134447588 187469172 201671382 302507073 369730867 403342764 605014146 739461734 1109192601 1210028292 1478923468 2218385202 3327577803 4436770404 6655155606 13310311212