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2210002201120 = 255710211932631
BaseRepresentation
bin100000001010001110011…
…001010110101000100000
321211021101212000222221211
4200022032121112220200
5242202041030413440
64411132212555504
7315444625522210
oct40121631265040
97737355028854
102210002201120
1178229069a7aa
122b8391322b94
1313052cb6183c
1478d71108240
153c7495e6eea
hex2028e656a20

2210002201120 has 96 divisors (see below), whose sum is σ = 5972853309696. Its totient is φ = 756972518400.

The previous prime is 2210002201097. The next prime is 2210002201157. The reversal of 2210002201120 is 211022000122.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2210002201120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177205 + ... + 2109835.

It is an arithmetic number, because the mean of its divisors is an integer number (62217221976).

Almost surely, 22210002201120 is an apocalyptic number.

2210002201120 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 2210002201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2986426654848).

2210002201120 is an abundant number, since it is smaller than the sum of its proper divisors (3762851108576).

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

2210002201120 is a wasteful number, since it uses less digits than its factorization.

2210002201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1933674 (or 1933666 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2210002201120 its reverse (211022000122), we get a palindrome (2421024201242).

The spelling of 2210002201120 in words is "two trillion, two hundred ten billion, two million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1021 1120 2042 4084 5105 7147 8168 10210 14294 16336 20420 28588 32672 35735 40840 57176 71470 81680 114352 142940 163360 228704 285880 571760 1143520 1932631 3865262 7730524 9663155 13528417 15461048 19326310 27056834 30922096 38652620 54113668 61844192 67642085 77305240 108227336 135284170 154610480 216454672 270568340 309220960 432909344 541136680 1082273360 1973216251 2164546720 3946432502 7892865004 9866081255 13812513757 15785730008 19732162510 27625027514 31571460016 39464325020 55250055028 63142920032 69062568785 78928650040 110500110056 138125137570 157857300080 221000220112 276250275140 315714600160 442000440224 552500550280 1105001100560 2210002201120