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21220101212112 = 24321137362068339
BaseRepresentation
bin1001101001100101100001…
…00110000100011111010000
32210010121210100010222210200
410310302300212010133100
510240132231402241422
6113044214021255200
74320046614142605
oct464626046043720
983117710128720
1021220101212112
116841437a22320
122468720b64500
13bac07c22279a
145350b62966ac
1526beb46312ac
hex134cb09847d0

21220101212112 has 120 divisors (see below), whose sum is σ = 66536574705120. Its totient is φ = 6256540880640.

The previous prime is 21220101212081. The next prime is 21220101212173. The reversal of 21220101212112 is 21121210102212.

21220101212112 is a `hidden beast` number, since 21 + 220 + 101 + 212 + 112 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 23 ways as a sum of consecutive naturals, for example, 180975562 + ... + 181092777.

It is an arithmetic number, because the mean of its divisors is an integer number (554471455876).

Almost surely, 221220101212112 is an apocalyptic number.

21220101212112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21220101212112 is an abundant number, since it is smaller than the sum of its proper divisors (45316473493008).

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

21220101212112 is a wasteful number, since it uses less digits than its factorization.

21220101212112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362068401 (or 362068392 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 21220101212112 its reverse (21121210102212), we get a palindrome (42341311314324).

The spelling of 21220101212112 in words is "twenty-one trillion, two hundred twenty billion, one hundred one million, two hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 37 44 48 66 72 74 88 99 111 132 144 148 176 198 222 264 296 333 396 407 444 528 592 666 792 814 888 1221 1332 1584 1628 1776 2442 2664 3256 3663 4884 5328 6512 7326 9768 14652 19536 29304 58608 362068339 724136678 1086205017 1448273356 2172410034 2896546712 3258615051 3982751729 4344820068 5793093424 6517230102 7965503458 8689640136 11948255187 13034460204 13396528543 15931006916 17379280272 23896510374 26068920408 26793057086 31862013832 35844765561 40189585629 47793020748 52137840816 53586114172 63724027664 71689531122 80379171258 95586041496 107172228344 120568756887 143379062244 147361813973 160758342516 191172082992 214344456688 241137513774 286758124488 294723627946 321516685032 442085441919 482275027548 573516248976 589447255892 643033370064 884170883838 964550055096 1178894511784 1326256325757 1768341767676 1929100110192 2357789023568 2652512651514 3536683535352 5305025303028 7073367070704 10610050606056 21220101212112