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21114200564322 = 23371093821228359
BaseRepresentation
bin1001100110100000010000…
…11011001010001001100010
32202202111102221101200111020
410303100020123022021202
510231413340321024242
6112523421351030310
74306310400402405
oct463201033121142
982674387350436
1021114200564322
1168005338551a8
1224500a706b396
13ba20a30c1c98
1452dd0b6c9d3c
152693673866ec
hex1334086ca262

21114200564322 has 64 divisors (see below), whose sum is σ = 43779242707200. Its totient is φ = 6783219106560.

The previous prime is 21114200564299. The next prime is 21114200564333. The reversal of 21114200564322 is 22346500241112.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92346379 + ... + 92574737.

It is an arithmetic number, because the mean of its divisors is an integer number (684050667300).

Almost surely, 221114200564322 is an apocalyptic number.

21114200564322 is an abundant number, since it is smaller than the sum of its proper divisors (22665042142878).

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

21114200564322 is a wasteful number, since it uses less digits than its factorization.

21114200564322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232331.

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 21114200564322 in words is "twenty-one trillion, one hundred fourteen billion, two hundred million, five hundred sixty-four thousand, three hundred twenty-two".

Divisors: 1 2 3 6 37 74 109 111 218 222 327 654 3821 4033 7642 8066 11463 12099 22926 24198 141377 228359 282754 416489 424131 456718 685077 832978 848262 1249467 1370154 2498934 8449283 15410093 16898566 24891131 25347849 30820186 46230279 49782262 50695698 74673393 92460558 149346786 872559739 920971847 1745119478 1841943694 2617679217 2762915541 5235358434 5525831082 32284710343 64569420686 95109011551 96854131029 190218023102 193708262058 285327034653 570654069306 3519033427387 7038066854774 10557100282161 21114200564322