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221120200112 = 247231016191373
BaseRepresentation
bin1100110111101111001…
…0100111110110110000
3210010202020200000102012
43031323302213312300
512110323232400422
6245325313142052
721655364455310
oct3157362476660
9703666600365
10221120200112
118585a652139
1236a3085a928
1317b0bacacc6
14a9b9083440
155b427164e2
hex337bca7db0

221120200112 has 160 divisors (see below), whose sum is σ = 517179755520. Its totient is φ = 89537817600.

The previous prime is 221120200061. The next prime is 221120200127. The reversal of 221120200112 is 211002021122.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 161048258 + ... + 161049630.

It is an arithmetic number, because the mean of its divisors is an integer number (3232373472).

Almost surely, 2221120200112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221120200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258589877760).

221120200112 is an abundant number, since it is smaller than the sum of its proper divisors (296059555408).

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

221120200112 is a wasteful number, since it uses less digits than its factorization.

221120200112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2131 (or 2125 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 221120200112 its reverse (211002021122), we get a palindrome (432122221234).

The spelling of 221120200112 in words is "two hundred twenty-one billion, one hundred twenty million, two hundred thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 23 28 46 56 92 101 112 161 184 202 322 368 404 619 644 707 808 1238 1288 1373 1414 1616 2323 2476 2576 2746 2828 4333 4646 4952 5492 5656 8666 9292 9611 9904 10984 11312 14237 16261 17332 18584 19222 21968 28474 31579 32522 34664 37168 38444 56948 62519 63158 65044 69328 76888 99659 113896 125038 126316 130088 138673 153776 199318 221053 227792 250076 252632 260176 277346 398636 437633 442106 500152 505264 554692 797272 849887 875266 884212 970711 1000304 1109384 1437937 1594544 1699774 1750532 1768424 1941422 2218768 2875874 3189479 3399548 3501064 3536848 3882844 5751748 5949209 6378958 6799096 7002128 7765688 10065559 11503496 11898418 12757916 13598192 15531376 19547401 20131118 22326353 23006992 23796836 25515832 39094802 40262236 44652706 47593672 51031664 78189604 80524472 85838587 89305412 95187344 136831807 156379208 161048944 171677174 178610824 273663614 312758416 343354348 357221648 547327228 600870109 686708696 1094654456 1201740218 1373417392 1974287501 2189308912 2403480436 3948575002 4806960872 7897150004 9613921744 13820012507 15794300008 27640025014 31588600016 55280050028 110560100056 221120200112