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11210201221000 = 235352122039767
BaseRepresentation
bin1010001100100001010000…
…0011111100011110001000
31110200200111012100002020211
42203020110003330132020
52432131443003033000
635501521221130504
72234624144113405
oct243102403743610
943620435302224
1011210201221000
113632246381471
121310741859a34
1363416b024672
142aa8103d92ac
1514690a4d77ba
hexa32140fc788

11210201221000 has 128 divisors (see below), whose sum is σ = 26296842274560. Its totient is φ = 4472984256000.

The previous prime is 11210201220991. The next prime is 11210201221007. The reversal of 11210201221000 is 12210201211.

It is a super-2 number, since 2×112102012210002 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11210201221007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1147758117 + ... + 1147767883.

It is an arithmetic number, because the mean of its divisors is an integer number (205444080270).

Almost surely, 211210201221000 is an apocalyptic number.

11210201221000 is a gapful number since it is divisible by the number (10) 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 11210201221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13148421137280).

11210201221000 is an abundant number, since it is smaller than the sum of its proper divisors (15086641053560).

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

11210201221000 is a wasteful number, since it uses less digits than its factorization.

11210201221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12512 (or 12498 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 11210201221000 its reverse (12210201211), we get a palindrome (11222411422211).

The spelling of 11210201221000 in words is "eleven trillion, two hundred ten billion, two hundred one million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 521 1000 1042 2084 2203 2605 4168 4406 5210 8812 9767 10420 11015 13025 17624 19534 20840 22030 26050 39068 44060 48835 52100 55075 65125 78136 88120 97670 104200 110150 130250 195340 220300 244175 260500 275375 390680 440600 488350 521000 550750 976700 1101500 1147763 1220875 1953400 2203000 2295526 2441750 4591052 4883500 5088607 5738815 9182104 9767000 10177214 11477630 20354428 21516701 22955260 25443035 28694075 40708856 43033402 45910520 50886070 57388150 86066804 101772140 107583505 114776300 127215175 143470375 172133608 203544280 215167010 229552600 254430350 286940750 430334020 508860700 537917525 573881500 636075875 860668040 1017721400 1075835050 1147763000 1272151750 2151670100 2544303500 2689587625 4303340200 5088607000 5379175250 10758350500 11210201221 21516701000 22420402442 44840804884 56051006105 89681609768 112102012210 224204024420 280255030525 448408048840 560510061050 1121020122100 1401275152625 2242040244200 2802550305250 5605100610500 11210201221000