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22101200201220 = 22357597323715153
BaseRepresentation
bin1010000011001110101100…
…01011111110011000000100
32220020212001122100020102120
411001213112023332120010
510344101224222414340
6115001052354405540
74440521226032250
oct501472613763004
986225048306376
1022101200201220
117051080377958
12258b43b2908b0
13c44198bbc77a
145659bd311260
15284d826284d0
hex1419d62fe604

22101200201220 has 384 divisors, whose sum is σ = 72952694599680. Its totient is φ = 4895036375040.

The previous prime is 22101200201219. The next prime is 22101200201231. The reversal of 22101200201220 is 2210200210122.

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

It is a self number, because there is not a number n which added to its sum of digits gives 22101200201220.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4288994164 + ... + 4288999316.

It is an arithmetic number, because the mean of its divisors is an integer number (189980975520).

Almost surely, 222101200201220 is an apocalyptic number.

22101200201220 is a gapful number since it is divisible by the number (20) 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 22101200201220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36476347299840).

22101200201220 is an abundant number, since it is smaller than the sum of its proper divisors (50851494398460).

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

22101200201220 is a wasteful number, since it uses less digits than its factorization.

22101200201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7675 (or 7673 counting only the distinct ones).

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

Adding to 22101200201220 its reverse (2210200210122), we get a palindrome (24311400411342).

The spelling of 22101200201220 in words is "twenty-two trillion, one hundred one billion, two hundred million, two hundred one thousand, two hundred twenty".