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11222021200020 = 22357111491229247
BaseRepresentation
bin1010001101001101010010…
…0101100101100010010100
31110201210222221201020020120
42203103110211211202110
52432330144411400040
635511154140231540
72235523101223551
oct243232445454224
943653887636216
1011222021200020
113637261456674
121312aa023b5b0
13635302aa88a7
142ab212155a28
15146d9d0487d0
hexa34d4965894

11222021200020 has 96 divisors (see below), whose sum is σ = 31867129921536. Its totient is φ = 2950120924800.

The previous prime is 11222021199979. The next prime is 11222021200043. The reversal of 11222021200020 is 2000212022211.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 31 ways as a sum of consecutive naturals, for example, 48837037 + ... + 49066283.

It is an arithmetic number, because the mean of its divisors is an integer number (331949270016).

Almost surely, 211222021200020 is an apocalyptic number.

11222021200020 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 11222021200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15933564960768).

11222021200020 is an abundant number, since it is smaller than the sum of its proper divisors (20645108721516).

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

11222021200020 is a wasteful number, since it uses less digits than its factorization.

11222021200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240821 (or 240819 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 11222021200020 its reverse (2000212022211), we get a palindrome (13222233222231).

The spelling of 11222021200020 in words is "eleven trillion, two hundred twenty-two billion, twenty-one million, two hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 142 213 284 355 426 710 852 1065 1420 2130 4260 11491 22982 34473 45964 57455 68946 114910 137892 172365 229247 229820 344730 458494 687741 689460 815861 916988 1146235 1375482 1631722 2292470 2447583 2750964 3263444 3438705 4079305 4584940 4895166 6877410 8158610 9790332 12237915 13754820 16276537 16317220 24475830 32553074 48829611 48951660 65106148 81382685 97659222 162765370 195318444 244148055 325530740 488296110 976592220 2634277277 5268554554 7902831831 10537109108 13171386385 15805663662 26342772770 31611327324 39514159155 52685545540 79028318310 158056636620 187033686667 374067373334 561101060001 748134746668 935168433335 1122202120002 1870336866670 2244404240004 2805505300005 3740673733340 5611010600010 11222021200020