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13211022211312 = 2410119946189113
BaseRepresentation
bin1100000000111110111001…
…0010010011100011110000
31201202221221212000120012111
43000033232102103203300
53212422133141230222
644033020530535104
72532315305660302
oct300175622234360
951687855016174
1013211022211312
11423384369a442
121594474737494
1374aa426aaa03
143395b9d19972
1517d9b05d6777
hexc03ee4938f0

13211022211312 has 80 divisors (see below), whose sum is σ = 26036330443200. Its totient is φ = 6493056768000.

The previous prime is 13211022211307. The next prime is 13211022211313. The reversal of 13211022211312 is 21311222011231.

It is a happy number.

It is a super-2 number, since 2×132110222113122 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13211022211313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148205668 + ... + 148294780.

It is an arithmetic number, because the mean of its divisors is an integer number (325454130540).

Almost surely, 213211022211312 is an apocalyptic number.

It is an amenable number.

13211022211312 is a deficient number, since it is larger than the sum of its proper divisors (12825308231888).

13211022211312 is a wasteful number, since it uses less digits than its factorization.

13211022211312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89882 (or 89876 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 13211022211312 its reverse (21311222011231), we get a palindrome (34522244222543).

The spelling of 13211022211312 in words is "thirteen trillion, two hundred eleven billion, twenty-two million, two hundred eleven thousand, three hundred twelve".

Divisors: 1 2 4 8 16 101 199 202 398 404 461 796 808 922 1592 1616 1844 3184 3688 7376 20099 40198 46561 80396 89113 91739 93122 160792 178226 183478 186244 321584 356452 366956 372488 712904 733912 744976 1425808 1467824 9000413 9265639 17733487 18000826 18531278 35466974 36001652 37062556 41081093 70933948 72003304 74125112 82162186 141867896 144006608 148250224 164324372 283735792 328648744 657297488 1791082187 3582164374 4149190393 7164328748 8175137507 8298380786 14328657496 16350275014 16596761572 28657314992 32700550028 33193523144 65401100056 66387046288 130802200112 825688888207 1651377776414 3302755552828 6605511105656 13211022211312