Base | Representation |
---|---|
bin | 100000010100011110101… |
… | …001001010111011110000 |
3 | 21212022211011021221201120 |
4 | 200110132221022323300 |
5 | 242342113110414300 |
6 | 4420152515302240 |
7 | 316314516134622 |
oct | 40243651127360 |
9 | 7768734257646 |
10 | 2221012201200 |
11 | 786a20538821 |
12 | 2ba5445aa980 |
13 | 131595b7aaa0 |
14 | 796d745cc12 |
15 | 3cb90eae3a0 |
hex | 2051ea4aef0 |
2221012201200 has 120 divisors (see below), whose sum is σ = 7661922657648. Its totient is φ = 546710691840.
The previous prime is 2221012201169. The next prime is 2221012201211. The reversal of 2221012201200 is 21022101222.
It is a tau number, because it is divible by the number of its divisors (120).
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 2221012201200.
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 23 ways as a sum of consecutive naturals, for example, 71170689 + ... + 71201888.
Almost surely, 22221012201200 is an apocalyptic number.
2221012201200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
2221012201200 is an abundant number, since it is smaller than the sum of its proper divisors (5440910456448).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2221012201200 is a wasteful number, since it uses less digits than its factorization.
2221012201200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 142372611 (or 142372600 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 15.
Adding to 2221012201200 its reverse (21022101222), we get a palindrome (2242034302422).
It can be divided in two parts, 222101 and 2201200, that added together give a triangular number (2423301 = T2201).
The spelling of 2221012201200 in words is "two trillion, two hundred twenty-one billion, twelve million, two hundred one thousand, two hundred".
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